@article{AiHic05,
 author = {M. Ai and F. J. Hickernell},
 doi = {10.1007/s11425-009-0171-y},
 journal = {Sci.\ China Ser.\ A},
 pages = {2309--2320},
 title = {Universal Optimality of Net and Lattice Designs},
 volume = {52},
 year = {2009}
}

@article{AiHic05b,
 author = {M. Ai and F. J. Hickernell and D. K. J. Lin},
 journal = {Statist.\ Probab.\ Lett.},
 pages = {896--903},
 title = {Optimal Foldover Plans for Regular $s$-level Fractional Factorial Designs},
 volume = {78},
 year = {2008}
}

@article{AnHicZhu95,
 author = {H. Z. An and F. J. Hickernell and L. X. Zhu},
 journal = {Chinese Sci.\ Bull.},
 pages = {802--807},
 title = {Universally Consistent Estimation for Stochastic Regression Models},
 volume = {40},
 year = {1995}
}

@article{AnHicZhu98,
 author = {H. Z. An and F. J. Hickernell and L. X. Zhu},
 journal = {J. Multivariate Anal.},
 pages = {242-258},
 title = {A New Class of Consistent Estimators for Stochastic Linear Regressive Models},
 volume = {63},
 year = {1997}
}

@article{BerEtal14a,
 author = {Z. Berkaliev and S. Devi and G. E. Fasshauer and F. J. Hickernell and O. Kartal and X. Li and P. McCray and S. Whitney and J. S. Zawojewski},
 doi = {10.1080/10511970.2014.893939},
 journal = {{PRIMUS}},
 pages = {403--420},
 title = {Initiating a Programmatic Assessment Report},
 volume = {24},
 year = {2014}
}

@inproceedings{ChaEtal88,
 address = {Seattle, WA},
 author = {M. K. Chan and M. J. Li and F. J. Hickernell and S. J. Hu and S. K. Ng and H. M. Ngai and C. C. Barnett and W. M. Holmes},
 booktitle = {Proc.\ 1988 Summer Computer Simulation Conference},
 pages = {881-885},
 title = {Simulation studies of the automatic control of a blast furnace process},
 year = {1988}
}

@article{CheHic94,
 author = {J. D. Chen and F. J. Hickernell},
 journal = {Sci.\ China Ser.\ A},
 pages = {1314-1324},
 title = {A Class of Asymptotically Optimal Sequential Tests for Composite Hypotheses},
 volume = {37},
 year = {1994}
}

@misc{ChoEtal13a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and L. Jiang and Y. Zhang},
 title = {{GAIL}: {G}uaranteed {A}utomatic {I}ntegration {L}ibrary (Version 1)},
 url = {http://code.google.com/p/gail},
 year = {2013}
}

@article{ChoEtal17a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and X. Tong},
 doi = {10.1016/j.jco.2016.11.005},
 journal = {J. Complexity},
 pages = {17--33},
 title = {Local Adaption for Approximation and Minimization of Univariate Functions},
 url = {https://arxiv.org/abs/1606.02766},
 volume = {40},
 year = {2017}
}

@misc{ChoEtal19a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and L. Jiang and { Ll}. A. {Jim\'enez Rugama} and D. Li and R. Jagadeeswaran and X. Tong and K. Zhang and Y. Zhang and X. Zhou},
 title = {{GAIL}: {G}uaranteed {A}utomatic {I}ntegration {L}ibrary (Versions 1.0--2.3)},
 url = {http://gailgithub.github.io/GAIL_Dev/},
 year = {2019}
}

@misc{ChoEtal20a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and L. Jiang and { Ll}. A. {Jim\'enez Rugama} and D. Li and R. Jagadeeswaran and X. Tong and K. Zhang and Y. Zhang and X. Zhou},
 doi = {10.5281/zenodo.4018189},
 title = {{GAIL}: {G}uaranteed {A}utomatic {I}ntegration {L}ibrary (Versions 1.0--2.3.1)},
 url = {http://gailgithub.github.io/GAIL_Dev/},
 year = {2020}
}

@misc{ChoEtal21a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and L. Jiang and { Ll}. A. {Jim\'enez Rugama} and D. Li and R. Jagadeeswaran and X. Tong and K. Zhang and Y. Zhang and X. Zhou},
 doi = {10.5281/zenodo.4018189},
 title = {{GAIL}: {G}uaranteed {A}utomatic {I}ntegration {L}ibrary (Versions 1.0--2.3.2)},
 url = {http://gailgithub.github.io/GAIL_Dev/},
 year = {2021}
}

@inproceedings{ChoEtal22a,
 author = {S.-C. T. Choi and F. J. Hickernell and R. Jagadeeswaran and M. J. McCourt and A. G. Sorokin},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {O}xford, England, {A}ugust 2020},
 editor = {A. Keller},
 pages = {23--50},
 publisher = {Springer, Cham},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Quasi-{M}onte {C}arlo Software},
 url = {https://arxiv.org/abs/2102.07833},
 year = {2022}
}

@inproceedings{ChoEtal24a,
 author = {S.-C. T. Choi and Y. Ding and F. J. Hickernell and R. Jagadeeswaran and A. G. Sorokin},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {L}inz, Austria, {J}uly 2022},
 doi = {10.1007/978-3-031-59762-6_9},
 editor = {A. Hinrichs and P. Kritzer and F. Pillichshammer},
 pages = {209--222},
 publisher = {Springer, Cham},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Challenges in Developing Great Quasi-{M}onte {C}arlo Software},
 year = {2024}
}

@inproceedings{DamHic07b,
 author = {S. B. Damelin and F. J. Hickernell},
 booktitle = {Proc. 2007 International Conference on Computational and Mathematical Methods in Science and Engineering},
 editor = {B. A. Wade},
 pages = {143--147},
 title = {Energy and Discrepancy as Designs for Numerical Computation},
 year = {2007}
}

@article{DamHicZen07a,
 author = {S. Damelin and F. J. Hickernell and D. L. Ragozin and X. Y. Zeng},
 doi = {10.1007/s00041-010-9153-2},
 journal = {J.\ Fourier Anal.\ Appl.},
 pages = {813--839},
 title = {On Energy, Discrepancy and Group Invariant Measures on Measurable Subsets of {E}uclidean Space},
 volume = {16},
 year = {2010}
}

@article{DicHicLiu07a,
 author = {K. I. Liu and J. Dick and F. J. Hickernell},
 doi = {10.1090/S0025-5718-09-02202-9},
 journal = {Math.\ Comp.},
 pages = {1573--1591},
 title = {A Multivariate Fast Discrete {W}alsh Transform with an Application to Function Interpolation},
 volume = {78},
 year = {2009}
}

@incollection{DinEtal20a,
 address = {Berlin/Boston},
 author = {Y. Ding and F. J. Hickernell and P. Kritzer and S. Mak},
 booktitle = {Multivariate Algorithms and Information-Based Complexity},
 doi = {10.1515/9783110635461-007},
 editor = {F. J. Hickernell and P. Kritzer},
 pages = {109--145},
 publisher = {DeGruyter},
 title = {Adaptive Approximation for Multivariate Linear Problems with Inputs Lying in a Cone},
 year = {2020}
}

@inproceedings{DinHic20a,
 author = {Y. Ding and F. J. Hickernell and { Ll}. A. {Jim\'enez Rugama}},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {R}ennes, France, {J}uly 2018},
 doi = {10.1007/978-3-030-43465-6_8},
 editor = {P. L'Ecuyer and B. Tuffin},
 pages = {161--181},
 publisher = {Springer, Cham},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {An Adaptive Algorithm Employing Continuous Linear Functionals},
 volume = {324},
 year = {2020}
}

@inproceedings{EldEtal77,
 author = {R. H. Elderkin and D. P. Berkowitz and F. A. Farris and C. F. Gunn and F. J. Hickernell and S. N. Kass and F. I. Mansfield and R. G. Taranto},
 booktitle = {Nonlinear Systems and Applications: An International Conference},
 editor = {V. Lakshmikantham},
 pages = {491-512},
 publisher = {Academic Press, New York},
 title = {On the Steady State of an Age Dependent Model for Malaria},
 year = {1977}
}

@article{EmeEtal24a,
 author = {O.\ Emenike and F. J. Hickernell and P.\ Kritzer},
 doi = {10.1016/j.jco.2024.101856},
 journal = {J. Complexity},
 pages = {101856},
 title = {A Unified Treatment of Tractability for Approximation Problems Defined on {H}ilbert Spaces},
 volume = {84},
 year = {2024}
}

@inproceedings{FanEtal06a,
 author = {K. T. Fang and J. J. Liang and F. J. Hickernell and R. Li},
 booktitle = {Random Walks, Sequential Analysis and Related Topics},
 editor = {A. Hsiung and Z. Ying and C.-H. Zhang},
 pages = {254--268},
 publisher = {World Scientific, Singapore},
 title = {A Stabilized Uniform Q-Q Plot to Detect Non-Multinormality},
 year = {2006}
}

@incollection{FangHic07a,
 address = {New York},
 author = {K. T. Fang and F. J. Hickernell},
 booktitle = {Encyclopedia of Statistics in Quality and Reliability},
 editor = {F. Ruggeri and R. Kenett and F. Faltin},
 pages = {2037-2040},
 publisher = {John Wiley \& Sons},
 title = {Uniform Experimental Design},
 year = {2008}
}

@article{FanHic04a,
 author = {G. Fang and F. J. Hickernell and H. Li},
 journal = {J. Complexity},
 pages = {294-313},
 title = {Approximation on Anisotropic Multivariate {B}esov Classes of Functions by Standard Information},
 year = {2005}
}

@article{FanHic95,
 address = {Beijing},
 author = {K. T. Fang and F. J. Hickernell},
 journal = {Bull.\ Inst.\ Internat.\ Statist., $50^{\mbox{th}}$ Session, Book 1},
 pages = {333-349},
 title = {The Uniform Design and Its Applications},
 year = {1995}
}

@article{FanHic96,
 author = {K. T. Fang and F. J. Hickernell},
 journal = {J. Roy.\ Statist.\ Soc.\ B},
 pages = {103},
 title = {Comment on ``{E}xperimental Design and Observation for Large Systems'', by {R.} {A.} {B}ates et. al.},
 volume = {58},
 year = {1996}
}

@inproceedings{FanHicWin97,
 author = {K. T. Fang and F. J. Hickernell and P. Winker},
 booktitle = {Operations Research and Its Applications},
 editor = {D. Z. Du and Z. S. Zhang and K. Cheng},
 pages = {14-24},
 publisher = {World Publishing Corp., Beijing},
 series = {Lecture Notes in Operations Research},
 title = {Some Global Optimization Algorithms in Statistics},
 volume = {2},
 year = {1996}
}

@article{FasHicWoz12a,
 author = {G. E. Fasshauer and F. J. Hickernell and H. Wo\'{z}niakowski},
 doi = {10.1137/10080138X},
 journal = {SIAM J. Numer.\ Anal.},
 pages = {247--271},
 title = {On Dimension-Independent Rates of Convergence for Function Approximation with {G}aussian Kernels},
 volume = {50},
 year = {2012}
}

@inproceedings{FasHicWoz12b,
 author = {G. E. Fasshauer and F. J. Hickernell and H. Wo\'{z}niakowski},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2010},
 editor = {L. Plaskota and H. Wo\'{z}niakowski},
 pages = {329--344},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Average Case Approximation: Convergence and Tractability of {G}aussian Kernels},
 volume = {23},
 year = {2012}
}

@article{FasHicYe13a,
 author = {G. E. Fasshauer and F. J. Hickernell and Q. Ye},
 doi = {10.1016/j.acha.2014.03.007},
 journal = {Appl.\ Comput.\ Harmon.\ Anal.},
 pages = {115--139},
 title = {Solving Support Vector Machines in Reproducing Kernel {B}anach Spaces with Positive Definite Functions},
 volume = {38},
 year = {2015}
}

@article{FenXuHic05a,
 author = {K. Feng and L. Xu and F. J. Hickernell},
 journal = {Finite Fields Appl.},
 pages = {638--652},
 title = {Linear Error-Block Codes},
 volume = {12},
 year = {2006}
}

@article{Gail_ug,
 author = {Choi, Sou-Cheng T. and Ding, Yuhan and Hickernell, Fred J. and Jiang, Lan and {Jim\'enez Rugama}, { Ll}. A. and Tong, Xin and Zhang, Yizhi and Zhou, Xuan},
 journal = {arXiv:1503.06544},
 title = {{GAIL---Guaranteed Automatic Integration Library in MATLAB}: {D}ocumentation for Version 2.1},
 url = {https://arxiv.org/abs/1503.06544},
 year = {2015}
}

@article{GilEtal16a,
 author = {L. Gilquin and { Ll}. A. {Jim\'enez Rugama} and E. Arnaud and F. J. Hickernell and H. Monod and C. Prieur},
 doi = {10.1016/j.crma.2016.11.013},
 journal = {C.\ R.\ Math.\ Acad.\ Sci.\ Paris},
 pages = {10--14},
 title = {Iterative Construction of Replicated Designs Based on {S}obol' Sequences},
 volume = {355},
 year = {2017}
}

@article{HeiHic02a,
 author = {F. J. Hickernell and J. Dick},
 journal = {Int.\ J. Numer.\ Anal.\ Model.},
 pages = {167--189},
 title = {An Algorithm-Driven Approach to Error Analysis for Multidimensional Integration},
 volume = {5},
 year = {2008}
}

@article{HeiHicYue02a,
 author = {S. Heinrich and F. J. Hickernell and R. X. Yue},
 journal = {Math.\ Comp.},
 pages = {259-277},
 title = {Optimal Quadrature for {H}aar Wavelet Spaces},
 volume = {73},
 year = {2004}
}

@inproceedings{HeiHicYue02b,
 author = {S. Heinrich and F. J. Hickernell and R. X. Yue},
 booktitle = {Wavelet Analysis and Its Applications},
 editor = {Y. Y. Tang and V. Wickerhauser and P. C. Yuen and C. H. Li},
 number = {2251},
 pages = {99-106},
 publisher = {Springer-Verlag, New York},
 series = {Lecture Notes in Computer Science},
 title = {Integration of Multivariate {H}aar Wavelet Series},
 year = {2001}
}

@inproceedings{Hic00a,
 author = {F. J. Hickernell and H. S. Hong},
 booktitle = {Applied Probability},
 editor = {R. Chan and Y.-K. Kwok and D. Yao and Q. Zhang},
 pages = {59--77},
 publisher = {American Mathematical Society, Providence, Rhode Island},
 series = {AMS/IP Studies in Advanced Mathematics},
 title = {Quasi-{M}onte {C}arlo Methods and Their Randomizations},
 volume = {26},
 year = {2002}
}

@inproceedings{Hic01a,
 author = {F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
 editor = {K. T. Fang and F. J. Hickernell and H. Niederreiter},
 pages = {274-289},
 publisher = {Springer-Verlag, Berlin},
 title = {Obtaining {$O(N^{-2+\epsilon})$} Convergence for Lattice Quadrature Rules},
 year = {2002}
}

@article{Hic03b,
 author = {F. J. Hickernell},
 journal = {J. Complexity},
 pages = {420-427},
 title = {My Dream Quadrature Rule},
 volume = {19},
 year = {2003}
}

@incollection{Hic04a,
 address = {Hoboken, NJ},
 author = {F. J. Hickernell},
 booktitle = {Encyclopedia of Statistical Sciences},
 edition = {Second},
 editor = {S. Kotz and N. L. Johnson and C. B. Read and N. Balakrishnan and B. Vidakovic},
 pages = {3862--3867},
 publisher = {John Wiley \& Sons},
 title = {Koksma-{H}lawka Inequality},
 volume = {6},
 year = {2006}
}

@incollection{Hic05a,
 address = {Singapore},
 author = {F. J. Hickernell},
 booktitle = {Contemporary Multivariate Analysis and Experimental Design},
 editor = {J. Fan and G. Li},
 pages = {185-203},
 publisher = {World Scientific},
 series = {Series in Biostatistics},
 title = {Granularity and Balance in Experimental Design},
 volume = {2},
 year = {2005}
}

@inproceedings{Hic17a,
 author = {F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {S}tanford, USA, {A}ugust 2016},
 doi = {10.1007/978-3-319-91436-7},
 editor = {P. Glynn and A. Owen},
 pages = {3--27},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {The Trio Identity for Quasi-{M}onte {C}arlo Error Analysis},
 year = {2018}
}

@inproceedings{Hic77,
 author = {F. J. Hickernell},
 booktitle = {Proc.\ 1977 IEEE Ultrason.\ Symp.},
 pages = {309-312},
 title = {The Effect of the Structure and Composition of Zinc Oxide Films on Their Elastic Properties},
 year = {1977}
}

@article{Hic83a,
 author = {F. J. Hickernell},
 doi = {10.1002/sapm19836911},
 journal = {Stud.\ Appl.\ Math},
 pages = {1-21},
 title = {The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear flows. {I.} {D}erivation of the Amplitude Evolution Equations},
 volume = {69},
 year = {1983}
}

@article{Hic83b,
 author = {F. J. Hickernell},
 doi = {10.1002/sapm198369123},
 journal = {Stud.\ Appl.\ Math},
 pages = {23-49},
 title = {The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear flows. {II.} {S}olutions of the {B}oussinesq Equation},
 volume = {69},
 year = {1983}
}

@article{Hic84,
 author = {F. J. Hickernell},
 journal = {J. Fluid Mech.},
 pages = {431-449},
 title = {Time-Dependent Critical Layers in Shear Flows on the Beta-Plane},
 volume = {142},
 year = {1984}
}

@article{Hic85,
 author = {F. J. Hickernell},
 journal = {Stud.\ Appl.\ Math},
 pages = {87-93},
 title = {An Upper Bound on the Growth Rate of a Linear Instability in a Homogeneous Shear Flow},
 volume = {72},
 year = {1985}
}

@inproceedings{Hic95,
 author = {F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods in Scientific Computing},
 editor = {H. Niederreiter and P. J.-S. Shiue},
 pages = {213-227},
 publisher = {Springer-Verlag, New York},
 series = {Lecture Notes in Statistics},
 title = {A Comparison of Random and Quasirandom Points for Multidimensional Quadrature},
 volume = {106},
 year = {1995}
}

@article{Hic96a,
 author = {F. J. Hickernell},
 journal = {SIAM J. Numer.\ Anal.},
 pages = {1995-2016},
 title = {Quadrature Error Bounds with Applications to Lattice Rules},
 volume = {33},
 year = {1996}
}

@article{Hic96b,
 author = {F. J. Hickernell},
 journal = {ACM Trans.\ Model.\ Comput.\ Simul.},
 pages = {274-296},
 title = {The Mean Square Discrepancy of Randomized Nets},
 volume = {6},
 year = {1996}
}

@article{Hic97a,
 author = {F. J. Hickernell},
 doi = {10.1090/S0025-5718-98-00894-1},
 journal = {Math.\ Comp.},
 pages = {299-322},
 title = {A Generalized Discrepancy and Quadrature Error Bound},
 volume = {67},
 year = {1998}
}

@incollection{Hic98b,
 address = {New York},
 author = {F. J. Hickernell},
 booktitle = {Random and Quasi-Random Point Sets},
 editor = {P. Hellekalek and G. Larcher},
 pages = {109-166},
 publisher = {Springer-Verlag},
 series = {Lecture Notes in Statistics},
 title = {Lattice Rules: How Well Do They Measure Up?},
 volume = {138},
 year = {1998}
}

@article{Hic99a,
 author = {F. J. Hickernell},
 doi = {10.1016/S0167-7152(98)00293-4},
 journal = {Statist.\ Probab.\ Lett.},
 pages = {73-78},
 title = {Goodness-of-Fit Statistics, Discrepancies and Robust Designs},
 volume = {44},
 year = {1999}
}

@inproceedings{Hic99b,
 author = {F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 1998},
 editor = {H. Niederreiter and J. Spanier},
 pages = {16-55},
 publisher = {Springer-Verlag, Berlin},
 title = {What Affects the Accuracy of Quasi-{M}onte {C}arlo Quadrature?},
 year = {2000}
}

@article{HicEtal00,
 author = {F. J. Hickernell and H. S. Hong and P. L'{\'E}cuyer and C. Lemieux},
 doi = {10.1137/S1064827599356638},
 journal = {SIAM J. Sci.\ Comput.},
 pages = {1117-1138},
 title = {Extensible Lattice Sequences for Quasi-{M}onte {C}arlo Quadrature},
 volume = {22},
 year = {2000}
}

@article{HicEtal03,
 author = {F. J. Hickernell and C. Lemieux and A. B. Owen},
 doi = {10.1214/088342304000000468},
 journal = {Statist.\ Sci.},
 pages = {1-31},
 title = {Control Variates for Quasi-{M}onte {C}arlo},
 volume = {20},
 year = {2005}
}

@article{HicEtal10a,
 author = {F. J. Hickernell and P. Kritzer and F. Y. Kuo and D. Nuyens},
 doi = {10.1007/s11075-011-9482-5},
 journal = {Numer.\ Algorithms},
 pages = {161--183},
 title = {Weighted Compound Integration Rules with Higher Order Convergence for All {$N$}},
 volume = {59},
 year = {2012}
}

@inproceedings{HicEtal14a,
 author = {F. J. Hickernell and L. Jiang and Y. Liu and A. B. Owen},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2012},
 doi = {10.1007/978-3-642-41095-6},
 editor = {J. Dick and F. Y. Kuo and G. W. Peters and I. H. Sloan},
 pages = {105--128},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Guaranteed Conservative Fixed Width Confidence Intervals Via {M}onte {C}arlo Sampling},
 volume = {65},
 year = {2013}
}

@article{HicEtal14b,
 author = {N. Clancy and Y. Ding and C. Hamilton and F. J. Hickernell and Y. Zhang},
 doi = {10.1016/j.jco.2013.09.002},
 journal = {J. Complexity},
 pages = {21--45},
 title = {The Cost of Deterministic, Adaptive, Automatic Algorithms: Cones, Not Balls},
 volume = {30},
 year = {2014}
}

@incollection{HicEtal17a,
 author = {F. J. Hickernell and { Ll}. A. {Jim\'enez Rugama} and D. Li},
 booktitle = {Contemporary Computational Mathematics --- a celebration of the 80th birthday of {I}an {S}loan},
 doi = {10.1007/978-3-319-72456-0},
 editor = {J. Dick and F. Y. Kuo and H. Wo\'zniakowski},
 pages = {597--619},
 publisher = {Springer-Verlag, Cham},
 title = {Adaptive Quasi-{M}onte {C}arlo Methods for Cubature},
 year = {2018}
}

@incollection{HicEtal18a,
 author = {F. J. Hickernell and S.-C. T. Choi and L. Jiang and { Ll}. A. {Jim\'enez Rugama}},
 booktitle = {Wiley StatsRef-Statistics Reference Online},
 doi = {10.1002/9781118445112.stat08035},
 editor = {M. Davidian and B. Everitt and R. S. Kenett and G. Molenberghs and W. Piegorsch and F. Ruggeri},
 publisher = {John Wiley \& Sons Ltd.},
 title = {{M}onte {C}arlo simulation, automatic stopping criteria for},
 year = {2018}
}

@inproceedings{HicHon97a,
 address = {Hong Kong},
 author = {F. J. Hickernell and H. S. Hong},
 booktitle = {Proceedings of the Workshop on Scientific Computing},
 editor = {G. H. Golub and S. H. Lui and F. T. Luk and R. J. Plemmons},
 pages = {209-215},
 publisher = {Springer-Verlag, Singapore},
 title = {Computing Multivariate Normal Probabilities Using Rank-1 Lattice Sequences},
 year = {1997}
}

@article{HicHon97b,
 author = {F. J. Hickernell and Y. C. Hon},
 journal = {Internat.\ J. Appl.\ Sci.\ Comput.},
 pages = {221-247},
 title = {Radial Basis Function Approximation of the Surface Wind Field from Scattered Data},
 volume = {4},
 year = {1998}
}

@article{HicHon98a,
 author = {F. J. Hickernell and H. S. Hong},
 journal = {Math.\ Comp.},
 pages = {767-791},
 title = {The Asymptotic Efficiency of Randomized Nets for Quadrature},
 volume = {68},
 year = {1999}
}

@article{HicHon98b,
 author = {F. J. Hickernell and Y. C. Hon},
 journal = {Appl.\ Math.\ Comput.},
 pages = {1-24},
 title = {Radial Basis Function Approximation as Smoothing Splines},
 volume = {102},
 year = {1999}
}

@article{HicJag18b,
 author = {F. J. Hickernell and R. Jagadeeswaran},
 doi = {10.1214/18-STS660},
 journal = {Statist.\ Sci.},
 pages = {23--28},
 title = {Comment on ``{P}robabilistic Integration: A Role in Statistical Computation?''},
 volume = {34},
 year = {2019}
}

@inproceedings{HicJim16a,
 author = {F. J. Hickernell and { Ll}. A. {Jim\'enez Rugama}},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {L}euven, {B}elgium, {A}pril 2014},
 editor = {R. Cools and D. Nuyens},
 pages = {367--383},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Reliable Adaptive Cubature Using Digital Sequences},
 url = {https://arxiv.org/abs/1410.8615},
 volume = {163},
 year = {2016}
}

@inproceedings{HicKirSor26a,
 author = {F. J. Hickernell and N. Kirk and A. G. Sorokin},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {W}aterloo, {C}anada, {A}ugust 2024},
 editor = {C. Lemieux and B. Feng},
 publisher = {Springer, Cham},
 title = {Quasi-{M}onte {C}arlo Methods: What, Why, and How?},
 url = {https://doi.org/10.48550/arXiv.2502.03644},
 year = {2026}
}

@book{HicKri20a,
 address = {Berlin/Boston},
 editor = {F. J. Hickernell and P. Kritzer},
 publisher = {DeGruyter},
 title = {Multivariate Algorithms and Information-Based Complexity},
 year = {2020}
}

@incollection{HicKriWoz19a,
 author = {F. J. Hickernell and P. Kritzer and H. Wo\'{z}niakowski},
 booktitle = {2018 MATRIX Annals},
 pages = {61--78},
 publisher = {Springer Nature Switzerland AG},
 series = {MATRIX Book Series},
 title = {Exponential Tractability of Linear Tensor Product Problems},
 year = {2020}
}

@article{HicLi12a,
 author = {Y. Li and F. J. Hickernell},
 doi = {10.1016/j.jspi.2013.01.010},
 journal = {J. Statist.\ Plann.\ Inference},
 pages = {141--151},
 title = {Design of Experiments for Linear Regression Models when Gradient Information Is Available},
 volume = {144},
 year = {2014}
}

@article{HicLiu01a,
 author = {F. J. Hickernell and M. Q. Liu},
 doi = {10.1093/biomet/89.4.893},
 journal = {Biometrika},
 pages = {893-904},
 title = {Uniform Designs Limit Aliasing},
 volume = {89},
 year = {2002}
}

@article{HicLiuYam01a,
 author = {F. J. Hickernell and M. Q. Liu and Y. C. Yam},
 journal = {J. Chinese Statistical Association},
 pages = {353-373},
 title = {Discrepancy Measures of Uniformity},
 volume = {38},
 year = {2000}
}

@article{HicMGRitNiu09a,
 author = {F. J. Hickernell and T. M\"uller-Gronbach and B. Niu and K. Ritter},
 doi = {10.1016/j.jco.2010.02.002},
 journal = {J. Complexity},
 pages = {229--254},
 title = {Multi-Level {M}onte {C}arlo Algorithms for Infinite-Dimensional Integration on $\mathbb{R}^\mathbb{N}$},
 volume = {26},
 year = {2010}
}

@article{HicNie03a,
 author = {F. J. Hickernell and H. Niederreiter},
 journal = {J. Complexity},
 pages = {286-300},
 title = {The Existence of Good Extensible Rank-1 Lattices},
 volume = {19},
 year = {2003}
}

@article{HicPro84,
 author = {F. Hickernell and W. Proskurowski},
 journal = {SIAM News},
 number = {5},
 pages = {16},
 title = {Teaching Calculus with Computers at {USC}},
 volume = {18},
 year = {1984}
}

@article{HicPro85,
 author = {F. Hickernell and W. Proskurowski},
 journal = {Collegiate Microcomputer},
 pages = {111-125},
 title = {The Use of Microcomputers in the Teaching of Calculus},
 volume = {3},
 year = {1985}
}

@article{HicPro87,
 author = {F. Hickernell and W. Proskurowski},
 journal = {Comput.\ Math.\ Appl.},
 pages = {3-24},
 title = {Design of a Calculus Microcomputer Laboratory},
 volume = {14},
 year = {1987}
}

@article{HicSloWas03a,
 author = {F. J. Hickernell and I. H. Sloan and G. W. Wasilkowski},
 doi = {10.1090/S0025-5718-04-01624-2},
 journal = {Math.\ Comp.},
 pages = {1885-1901},
 title = {On Tractability of Weighted Integration over Bounded and Unbounded Regions in {$\mathbb{R}^s$}},
 volume = {73},
 year = {2004}
}

@inproceedings{HicSloWas03b,
 author = {F. J. Hickernell and I. H. Sloan and G. W. Wasilkowski},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2002},
 editor = {H. Niederreiter},
 pages = {51-71},
 publisher = {Springer-Verlag, Berlin},
 title = {On Tractability of Weighted Integration for Certain {B}anach Spaces of Functions},
 year = {2004}
}

@article{HicSloWas03c,
 author = {F. J. Hickernell and I. H. Sloan and G. W. Wasilkowski},
 doi = {10.1090/S0025-5718-04-01653-9},
 journal = {Math.\ Comp.},
 pages = {1903-1911},
 title = {On Strong Tractability of Weighted Multivariate Integration},
 volume = {73},
 year = {2004}
}

@article{HicSloWas03d,
 author = {F. J. Hickernell and I. H. Sloan and G. W. Wasilkowski},
 journal = {SIAM J. Numer.\ Anal.},
 pages = {1003-1020},
 title = {A Piece-Wise Constant Algorithm for Weighted {$L_1$} Approximation over Bounded or Unbounded Regions},
 volume = {43},
 year = {2005}
}

@inproceedings{HicSloWas03e,
 author = {F. J. Hickernell and I. H. Sloan and G. W. Wasilkowski},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2002},
 editor = {H. Niederreiter},
 pages = {259-273},
 publisher = {Springer-Verlag, Berlin},
 title = {The Strong Tractability of Multivariate Integration Using Lattice Rules},
 year = {2004}
}

@inproceedings{HicWasWoz06a,
 author = {F. J. Hickernell and G. W. Wasilkowski and H. Wo\'{z}niakowski},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2006},
 editor = {A. Keller and S. Heinrich and H. Niederreiter},
 pages = {423--452},
 publisher = {Springer-Verlag, Berlin},
 title = {Tractability of Linear Multivariate Problems in the Average Case Setting},
 year = {2008}
}

@article{HicWoz00a,
 author = {F. J. Hickernell and H. Wo\'zniakowski},
 journal = {J. Complexity},
 pages = {625-659},
 title = {The Price of Pessimism for Multidimensional Quadrature},
 volume = {17},
 year = {2001}
}

@article{HicWoz00b,
 author = {F. J. Hickernell and H. Wo\'zniakowski},
 doi = {10.1006/jcom.2001.0592},
 journal = {J. Complexity},
 pages = {660-682},
 title = {Tractability of Multivariate Integration for Periodic Functions},
 volume = {17},
 year = {2001}
}

@proceedings{HicWoz01a,
 editor = {F. J. Hickernell and H. Wo\'zniakowski},
 month = {December},
 publisher = {Academic Press, Orlando, FL},
 series = {J. Complexity},
 title = {Special Issue on the Complexity of Multivariate Problems},
 volume = {17, no.\ 4},
 year = {2001}
}

@article{HicWoz99,
 author = {F. J. Hickernell and H. Wo\'zniakowski},
 doi = {10.1023/A:1018948631251},
 journal = {Adv.\ Comput.\ Math.},
 pages = {25--58},
 title = {Integration and Approximation in Arbitrary Dimensions},
 volume = {12},
 year = {2000}
}

@article{HicYan07a,
 author = {F. J. Hickernell and S. Yang},
 journal = {Int.\ J. Numer.\ Anal.\ Model.},
 pages = {457--465},
 title = {Explicit {H}ermite Interpolation Polynomials via the Cycle Index with Applications},
 volume = {5},
 year = {2008}
}

@article{HicYan09b,
 author = {F. J. Hickernell and S. Yang},
 doi = {10.1016/j.cam.2008.05.024},
 journal = {J. Comput.\ Appl.\ Math.},
 pages = {433--443},
 title = {Simplified analytical expressions for numerical differentiation via cycle index},
 volume = {224},
 year = {2009}
}

@article{HicYor86,
 author = {F. J. Hickernell and Y. C. Yortsos},
 journal = {Stud.\ Appl.\ Math},
 pages = {93-115},
 title = {Linear Stability of Miscible Displacement Processes in Porous Media in the Absence of Dispersion},
 volume = {74},
 year = {1986}
}

@article{HicYua98,
 author = {F. J. Hickernell and Y. X. Yuan},
 journal = {Oper.\ Res.\ Trans.},
 pages = {1-11},
 title = {A simple multi-start algorithm for global optimization},
 volume = {1},
 year = {1997}
}

@article{HicYue00,
 author = {F. J. Hickernell and R. X. Yue},
 doi = {10.1137/S0036142999358019},
 journal = {SIAM J. Numer.\ Anal.},
 pages = {1089-1112},
 title = {The Mean Square Discrepancy of Scrambled $(t,s)$-Sequences},
 volume = {38},
 year = {2000}
}

@article{HicYueHic96,
 author = {F. J. Hickernell and R. X. Yue and F. S. Hickernell},
 journal = {IEEE Trans.\ Ultrason., Ferroelectrics \& Frequency Control},
 pages = {615-623},
 title = {Statistical Modeling for the Optimal Deposition of Sputtered Piezoelectric Films},
 volume = {44},
 year = {1997}
}

@article{HonHic00a,
 author = {H. S. Hong and F. J. Hickernell},
 doi = {10.1145/779359.779360},
 journal = {ACM Trans.\ Math.\ Software},
 pages = {95--109},
 title = {Algorithm 823: Implementing Scrambled Digital Nets},
 volume = {29},
 year = {2003}
}

@article{HonHicWei03,
 author = {H. S. Hong and F. J. Hickernell and G. Wei},
 journal = {Math.\ Comput.\ Simulation},
 pages = {335-345},
 title = {The Distribution of the Discrepancy of Scrambled Digital $(t,m,s)$-Nets},
 volume = {62},
 year = {2003}
}

@incollection{JagHic22a,
 author = {R. Jagadeeswaran and F. J. Hickernell},
 booktitle = {Advances in Modeling and Simulation: {F}estschrift in Honour of {P}ierre {L'E}cuyer},
 doi = {10.1007/978-3-031-10193-9_15},
 editor = {Z. Botev and A. Keller and C. Lemieux and B. Tuffin},
 pages = {301--318},
 publisher = {Springer, Cham},
 title = {Fast Automatic {B}ayesian Cubature Using {S}obol' Sampling},
 year = {2022}
}

@article{JaiEtal26,
 author = {A. Jain and F. J. Hickernell and A. B. Owen and A. G. Sorokin},
 journal = {Inf.\ Inference},
 title = {Empirical {B}ernstein and betting confidence intervals for randomized quasi-{M}onte {C}arlo},
 url = {https://doi.org/10.48550/arXiv.2504.18677},
 year = {2026}
}

@misc{JiaHic16a,
 author = {L. Jiang and F. J. Hickernell},
 title = {Guaranteed Conservative Confidence Intervals for Means of {B}ernoulli Random Variables},
 url = {https://arxiv.org/abs/1411.1151},
 year = {2014}
}

@inproceedings{JimHic16a,
 author = {{ Ll}. A. {Jim\'enez Rugama} and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {L}euven, {B}elgium, {A}pril 2014},
 editor = {R. Cools and D. Nuyens},
 pages = {407--422},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Adaptive Multidimensional Integration Based on Rank-1 Lattices},
 url = {https://arxiv.org/abs/1411.1966},
 volume = {163},
 year = {2016}
}

@article{LiaEtal99,
 author = {J. J. Liang and K. T. Fang and F. J. Hickernell and R. Li},
 journal = {Math.\ Comp.},
 pages = {337-355},
 title = {Testing Multivariate Uniformity and Its Applications},
 volume = {70},
 year = {2001}
}

@article{LiaFanHic05a,
 author = {J. J. Liang and K. T. Fang and F. J. Hickernell},
 doi = {10.1007/s10463-007-0121-9},
 journal = {Ann.\ Inst.\ Statist.\ Math.},
 pages = {679--696},
 title = {Some Necessary Uniform Tests for Spherical Symmetry},
 volume = {60},
 year = {2008}
}

@article{LiEtal11a,
 author = {Y. Li and M. Anitescu and O. Roderick and F. J. Hickernell},
 doi = {10.1615/Int.J.UncertaintyQuantification.2011002790},
 journal = {Internat.\ J. Uncertain.\ Quant.},
 pages = {297--320},
 title = {Orthogonal Bases for Polynomial Regression with Derivative Information in Uncertainty Quantification},
 volume = {1},
 year = {2011}
}

@inproceedings{LiHic03a,
 author = {D. Li and F. J. Hickernell},
 booktitle = {Recent Advances in Scientific Computing and Partial Differential Equations},
 editor = {S. Y. Cheng and C.-W. Shu and T. Tang},
 pages = {121-132},
 publisher = {American Mathematical Society, Providence, Rhode Island},
 series = {AMS Series in Contemporary Mathematics},
 title = {Trigonometric Spectral Collocation Methods on Lattices},
 volume = {330},
 year = {2003}
}

@incollection{LiKanHic20a,
 author = {Y. Li and L. Kang and F. J. Hickernell},
 booktitle = {Contemporary Experimental Design, Multivariate Analysis and Data Mining (Festschrift in Honour of Professor Kai-{T}ai Fang)},
 doi = {10.1007/978-3-030-46161-4_5},
 editor = {J. Fan and J. Pan},
 pages = {69--92},
 publisher = {Springer Nature Switzerland AG},
 title = {Is a Transformed Low Discrepancy Design Also Low Discrepancy?},
 year = {2020}
}

@article{LiuFanHic05a,
 author = {M. Q. Liu and K. T. Fang and F. J. Hickernell},
 journal = {Statist.\ Sinica},
 pages = {1285--1297},
 title = {Connections Among Different Criteria for Asymmetrical Fractional Factorial Designs},
 volume = {16},
 year = {2006}
}

@article{LiuHic01a,
 author = {M. Q. Liu and F. J. Hickernell},
 journal = {Statist.\ Sinica},
 pages = {931-939},
 title = {${E(s^2)}$-Optimality and Minimum Discrepancy in 2-level Supersaturated Designs},
 volume = {12},
 year = {2002}
}

@article{LiuHic03a,
 author = {M. Q. Liu and F. J. Hickernell},
 journal = {Metrika},
 pages = {317--327},
 title = {The Relationship Between Discrepancies Defined on A Domain and on Its Subset},
 volume = {63},
 year = {2006}
}

@inproceedings{LiuHic04a,
 author = {K. I. Liu and F. J. Hickernell},
 booktitle = {Parallel and Distributed Processing and Applications},
 editor = {J. Cao and L. T. Yang and M. Guo and F. Lau},
 pages = {257-262},
 publisher = {Springer-Verlag, Heidelberg},
 series = {Lecture Notes in Computer Science},
 title = {A Scalable Low Discrepancy Point Generator for Parallel Computing},
 volume = {3358},
 year = {2004}
}

@inproceedings{LiuHic05a,
 author = {K. I. Liu and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
 editor = {H. Niederreiter and D. Talay},
 pages = {343-354},
 publisher = {Springer-Verlag, Berlin},
 title = {Experimental designs using digital nets with small numbers of points},
 year = {2006}
}

@article{LiuYueHic09a,
 author = {X. Liu and R.-X. Yue and F. J. Hickernell},
 journal = {Statist.\ Sinica},
 pages = {421--432},
 title = {Optimality Criteria for Multiresponse Linear Models Based on Predictive Ellipsoids},
 volume = {21},
 year = {2011}
}

@proceedings{NieFanHic01,
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
 editor = {K. T. Fang and F. J. Hickernell and H. Niederreiter},
 publisher = {Springer-Verlag, Berlin},
 title = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
 year = {2002}
}

@inproceedings{NiuHic09a,
 author = {B. Niu and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2008},
 editor = {P. L'Ecuyer and A. Owen},
 pages = {545--560},
 publisher = {Springer-Verlag, Berlin},
 title = {{M}onte {C}arlo Simulation of Stochastic Integrals when the Cost of Function Evaluation is Dimension Dependent},
 year = {2010}
}

@article{NiuHic09b,
 author = {B. Niu and F. J. Hickernell and T. M\"uller-Gronbach and K. Ritter},
 doi = {10.1016/j.jco.2010.08.001},
 journal = {J. Complexity},
 pages = {331--351},
 title = {Deterministic Multi-level Algorithms for Infinite-dimensional Integration on {$\mathbb{R}^{\mathbb{N}}$}},
 volume = {27},
 year = {2011}
}

@book{ProHic88,
 address = {Philadelphia},
 author = {W. Proskurowski and F. J. Hickernell},
 publisher = {Saunders College Publishing},
 title = {Comp-U-Calc (software and user's manual/workbook)},
 year = {1988}
}

@electronic{QMCPy2020a,
 author = {S.-C. T. Choi and F. J. Hickernell and R. Jagadeeswaran and M. McCourt and A. Sorokin},
 doi = {10.5281/zenodo.3964489},
 title = {{QMCPy}: A quasi-{M}onte {C}arlo {P}ython Library (versions 1.0--2.0)},
 url = {https://qmcsoftware.github.io/QMCSoftware/},
 year = {2025}
}

@electronic{QMCPy2026a,
 author = {S.-C. T. Choi and F. J. Hickernell and R. Jagadeeswaran and A. Jain and  A. Sorokin},
 doi = {10.5281/zenodo.20297697},
 title = {{QMCPy}: A quasi-{M}onte {C}arlo {P}ython Library (version 2.3)},
 url = {https://qmcsoftware.github.io/QMCSoftware/},
 year = {2026}
}

@article{RatHic19a,
 author = {R. Jagadeeswaran and F. J. Hickernell},
 doi = {10.1007/s11222-019-09895-9},
 journal = {Stat.\ Comput.},
 pages = {1215--1229},
 title = {Fast Automatic {B}ayesian Cubature Using Lattice Sampling},
 volume = {29},
 year = {2019}
}

@article{SonRidFasHic10a,
 author = {G. Song and J. Riddle and G. E. Fasshauer and F. J. Hickernell},
 doi = {10.1007/s10444-011-9192-5},
 journal = {Adv.\ Comput.\ Math.},
 pages = {485--501},
 title = {Multivariate Interpolation with Increasingly Flat Radial Basis Functions of Finite Smoothness},
 volume = {36},
 year = {2012}
}

@article{SonZhaHic12a,
 author = {G. Song and H. Zhang and F. J. Hickernell},
 doi = {10.1016/j.acha.2012.03.009},
 journal = {Appl.\ Comput.\ Harmon.\ Anal.},
 pages = {96--116},
 title = {Reproducing Kernel {B}anach Spaces with the $\ell^1$ Norm},
 volume = {34},
 year = {2013}
}

@article{SorEtal2026a,
 author = {A. G. Sorokin and F. J. Hickernell and S.-C. T. Choi and R. Jagadeeswaran and P. Robbe and A. Jain},
 doi = {10.21105/joss.09705},
 journal = {J.\ Open Source Software},
 title = {{QMCPy:} A {P}ython Framework for (Quasi-){M}onte {C}arlo Algorithms},
 volume = {11},
 year = {2026}
}

@article{SorEtal24a,
 author = {A. G. Sorokin and A. Pachalieva and D. O'Malley and J. M. Hyman and F. J. Hickernell and N. W. Hengartner},
 doi = {10.1016/j.advwatres.2024.104836},
 journal = {Adv.\ Water Resources},
 pages = {104836},
 title = {Computationally Efficient and Error Aware Surrogate Construction for Numerical Solutions of Subsurface Flow Through Porous Media},
 volume = {193},
 year = {2024}
}

@misc{SorEtal26,
 author = {A. G. Sorokin and P. Robbe and G. Geraci and M. S. Eldred and F. J. Hickernell},
 title = {Fast Bayesian multilevel quasi-{M}onte {C}arlo},
 url = {https://arxiv.org/abs/2510.24604},
 year = {2025}
}

@inproceedings{SorHicRob25a,
 author = {A. G. Sorokin and F. J. Hickernell and P. Robbe},
 booktitle = {Proc. Mach. Learn. Res.},
 editor = {M. Kanagawa and J. Cockayne and A. Gessner and P. Hennig},
 title = {Fast {G}aussian process regression for high dimensional functions with derivative information},
 year = {2025}
}

@article{SteEtal77,
 author = {W. E. Steinmetz and F. Hickernell and I. K. Mun and L. H. Scharpen},
 journal = {J. Molec.\ Spectro.},
 pages = {173-182},
 title = {The Conformational Analysis of 1-haloalkanes by Low Resolution Microwave Spectroscopy},
 volume = {68},
 year = {1977}
}

@article{SteEtal78,
 author = {W. E. Steinmetz and J. Hollenberg and F. Hickernell and C. E. Orr and L. H. Scharpen},
 journal = {J. Phys.\ Chem.},
 pages = {940-943},
 title = {Conformational Analysis of Substituted Alkenes by Low Resolution Microwave Spectroscopy},
 volume = {82},
 year = {1978}
}

@article{SteEtal79,
 author = {W. E. Steinmetz and J. E. Pollard and J. M. Blaney and B. K. Winker and I. K. Mun and F. J. Hickernell and S. J. Hollenberg},
 journal = {J. Phys.\ Chem.},
 pages = {1540-1545},
 title = {Conformational Analysis of Conjugated Polyenes by Nuclear Magnetic Resonance and Low Resolution Microwave Spectroscopy},
 volume = {83},
 year = {1979}
}

@article{TonEtAl22a,
 author = {X. Tong and S.-C. T. Choi and Y. Ding and F. J. Hickernell and L. Jiang and { Ll}. A. {Jim\'enez Rugama} and R. Jagadeeswaran and K. Zhang and Y. Zhang and X. Zhou},
 doi = {10.5334/jors.381},
 journal = {J. Open Res.\ Software},
 pages = {7},
 title = {Guaranteed Automatic Integration Library {(GAIL)}: An Open-Source {MATLAB} Library for Function Approximation, Minimization, and Integration},
 volume = {10},
 year = {2022}
}

@article{WanHic00,
 author = {X. Wang and F. J. Hickernell},
 journal = {Math.\ Comput.\ Modelling},
 pages = {887-899},
 title = {Randomized {H}alton Sequences},
 volume = {32},
 year = {2000}
}

@article{WanHic00b,
 author = {F. J. Hickernell and X. Wang},
 doi = {10.1090/S0025-5718-01-01377-1},
 journal = {Math.\ Comp.},
 pages = {1641-1661},
 title = {The Error Bounds and Tractability of Quasi-{M}onte {C}arlo Algorithms in Infinite Dimension},
 volume = {71},
 year = {2002}
}

@inproceedings{WanHic02a,
 author = {Y. Wang and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2000},
 editor = {K. T. Fang and F. J. Hickernell and H. Niederreiter},
 pages = {158-167},
 publisher = {Springer-Verlag, Berlin},
 title = {An Historical Overview of Lattice Point Sets},
 year = {2002}
}

@article{WeiHic96,
 author = {B. C. Wei and F. J. Hickernell},
 journal = {Statist.\ Sinica},
 pages = {433-454},
 title = {Regression Transformation Diagnostics for Explanatory Variables},
 volume = {6},
 year = {1996}
}

@article{YorHic89,
 author = {Y. C. Yortsos and F. J. Hickernell},
 journal = {SIAM J. Appl.\ Math.},
 pages = {730-748},
 title = {Linear Stability of Immiscible Displacement Processes in Porous Media},
 volume = {49},
 year = {1989}
}

@article{YueHic00a,
 author = {R. X. Yue and F. J. Hickernell},
 journal = {J. Complexity},
 pages = {881-897},
 title = {Integration and Approximation Based on Scramble Sampling in Arbitrary Dimensions},
 volume = {17},
 year = {2001}
}

@article{YueHic02a,
 author = {R. X. Yue and F. J. Hickernell},
 journal = {J. Complexity},
 pages = {135-151},
 title = {The Discrepancy and Gain Coefficients of Scrambled Digital Nets},
 volume = {18},
 year = {2002}
}

@article{YueHic04a,
 author = {R. X. Yue and F. J. Hickernell},
 journal = {Math.\ Comp.},
 pages = {1871-1893},
 title = {Strong Tractability of Integration Using Scrambled {N}iederreiter Points},
 volume = {74},
 year = {2005}
}

@article{YueHic05a,
 author = {R. X. Yue and F. J. Hickernell},
 doi = {10.1137/040621776},
 journal = {SIAM J. Numer.\ Anal.},
 pages = {2559--2583},
 title = {Strong Tractability of Quasi-{M}onte {C}arlo Quadrature Using Nets for Certain {B}anach Spaces},
 volume = {44},
 year = {2006}
}

@article{YueHic97a,
 author = {R. X. Yue and F. J. Hickernell},
 journal = {Statist.\ Sinica},
 pages = {1053-1069},
 title = {Robust Designs for Fitting Linear Models with Misspecification},
 volume = {9},
 year = {1999}
}

@article{YueHic97b,
 author = {R. X. Yue and F. J. Hickernell},
 journal = {Metrika},
 pages = {161-176},
 title = {Robust Designs for Smoothing Spline {ANOVA} Models},
 volume = {55},
 year = {2002}
}

@inproceedings{ZenEtal05a,
 author = {X. Y. Zeng and K. T. Leung and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods 2004},
 editor = {H. Niederreiter and D. Talay},
 pages = {501-514},
 publisher = {Springer-Verlag, Berlin},
 title = {Error analysis of splines for periodic problems using lattice designs},
 year = {2006}
}

@article{ZenHic14a,
 author = {X. Y. Zeng and F. J. Hickernell},
 doi = {10.3969/j.issn.1006-6330.2014.04.015},
 journal = {Comm.\ Appl.\ Math.\ Comput.},
 pages = {502--509},
 title = {On {H}amming Distance Matrix},
 volume = {28},
 year = {2014}
}

@article{ZenKriHic07a,
 author = {X. Y. Zeng and P. Kritzer and F. J. Hickernell},
 doi = {10.1007/s00365-009-9072-0},
 journal = {Constr.\ Approx.},
 pages = {529--555},
 title = {Spline Methods Using Integration Lattices and Digital Nets},
 volume = {30},
 year = {2009}
}

@inproceedings{ZhoHic15a,
 author = {X. Zhou and F. J. Hickernell},
 booktitle = {{M}onte {C}arlo and Quasi-{M}onte {C}arlo Methods: {MCQMC}, {L}euven, {B}elgium, {A}pril 2014},
 editor = {R. Cools and D. Nuyens},
 pages = {583--598},
 publisher = {Springer-Verlag, Berlin},
 series = {Springer Proceedings in Mathematics and Statistics},
 title = {Tractability of the Radial Function Approximation Problem with Kernels of a Product Form},
 url = {https://arxiv.org/abs/1411.0790},
 volume = {163},
 year = {2016}
}

@article{ZhuHicAn97,
 author = {L. X. Zhu and F. J. Hickernell and H. Z. An},
 journal = {Chinese J. Contemp.\ Math.},
 pages = {199-206},
 title = {A goodness-of-fit test for linearity of a stochastic regression model},
 volume = {18},
 year = {1997}
}