Number-Theoretic Methods in Statistics

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  • Number-Theoretic Methods in Statistics Book Detail

  • Author : Kai-Tai Fang
  • Release Date : 1993-12-01
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 356
  • ISBN 13 : 9780412465208
  • File Size : 52,52 MB

Number-Theoretic Methods in Statistics by Kai-Tai Fang PDF Summary

Book 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.

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Itpzf}JlOV, li~oxov uoq>ZUJlCJ. 7:WV Al(JX., llpoj1. AE(Jj1. The first part of this volume is based on a course taught at Princeton University in 1961-62; at th