Number-Theoretic Methods in Statistics

1st Edition

Kai-Tai Fang, Y. Wang

Chapman and Hall/CRC
Published December 1, 1993
Reference - 344 Pages
ISBN 9780412465208 - CAT# C6520
Series: Chapman & Hall/CRC Monographs on Statistics and Applied Probability


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This book is a survey of recent work on the application of number theory in statistics. The essence of number-theoretic methods is to find a set of points that are universally scattered over an s-dimensional unit cube. In certain circumstances this set can be used instead of random numbers in the Monte Carlo method. The idea can also be applied to other problems such as in experimental design. This book will illustrate the idea of number-theoretic methods and their application in statistics. The emphasis is on applying the methods to practical problems so only part-proofs of theorems are given.