Number-Theoretic Methods in Statistics

Kai-Tai Fang, Y. Wang (Autoren)

Buch | Hardcover

344 Seiten

1993
Chapman & Hall/CRC (Verlag)
978-0-412-46520-8 (ISBN)

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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.

Fang, Kai-Tai; Wang, Y.

Introduction and number-theoretic method. Numerical evaluation of multiple integral in statistics. Optimization and its applications in statistics. Representative points of a multivariate distribution. Experimental design and design of computer experiments. Statistical inference. Appendices: Tables of glp set. Integrations and uniform distributions on D.

Erscheint lt. Verlag	1.12.1993
Reihe/Serie	Chapman & Hall/CRC Monographs on Statistics and Applied Probability
Mitarbeit	Herausgeber (Serie): D.R. Cox, N. Reid, Valerie Isham
Sprache	englisch
Maße	210 x 280 mm
Gewicht	480 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Statistik
ISBN-10	0-412-46520-5 / 0412465205
ISBN-13	978-0-412-46520-8 / 9780412465208
Zustand	Neuware