Number-Theoretic Methods†

[1]  H. Niederreiter Low-discrepancy and low-dispersion sequences , 1988 .

[2]  J. E. H. Shaw,et al.  A Quasirandom Approach to Integration in Bayesian Statistics , 1988 .

[3]  Jerome Spanier,et al.  Quasi-Random Methods for Estimating Integrals Using Relatively Small Samples , 1994, SIAM Rev..

[4]  Seymour Haber,et al.  Numerical Evaluation of Multiple Integrals , 1970 .

[5]  E. Hlawka Funktionen von beschränkter Variatiou in der Theorie der Gleichverteilung , 1961 .

[6]  H. Weyl Über die Gleichverteilung von Zahlen mod. Eins , 1916 .

[7]  W. Schmidt On irregularities of distribution vii , 1972 .

[8]  P. Bentler,et al.  A necessary test of goodness of fit for sphericity , 1993 .

[9]  H. Faure Discrépance de suites associées à un système de numération (en dimension s) , 1982 .

[10]  H. Niederreiter Quasi-Monte Carlo methods and pseudo-random numbers , 1978 .

[11]  J. Hammersley MONTE CARLO METHODS FOR SOLVING MULTIVARIABLE PROBLEMS , 1960 .

[12]  J. Halton On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals , 1960 .

[13]  Yuan Wang,et al.  Some Applications of Number-Theoretic Methods in Statistics , 1994 .

[14]  H. Niederreiter Pseudo-random numbers and optimal coefficients☆ , 1977 .

[15]  A. Baker,et al.  On Some Diophantine Inequalities Involving the Exponential Function , 1965, Canadian Journal of Mathematics.

[16]  Russel E. Caflisch,et al.  Quasi-Random Sequences and Their Discrepancies , 1994, SIAM J. Sci. Comput..