
Number-Theoretic Methods in Statistics
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 1. December 1993
Book
Hardback
344 pages
978-0-412-46520-8 (ISBN)
Description
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.
Reviews / Votes
"The book offers an interesting opportunity to learn about a particular optimization method applied to a range of statistical problems."-Short Book Reviews
"...a highly thought provoking book...a valuable addition to the statistical literature."
-Journal of ASA, September 1995
"...this is a book by believers (in the NTM) for believers.
-Journal of RSS
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 280 mm
Width: 210 mm
Weight
480 gr
ISBN-13
978-0-412-46520-8 (9780412465208)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Fang, Kai-Tai; Wang, Y.
Author
Hong Kong Baptist University, Kowloon
Academia Sinica, China
Series Editor
Content
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.