Number-Theoretic Methods in Statistics

1. Auflage 1993
ISBN: 978-0-412-46520-8
Verlag: Chapman and Hall/CRC

Buch, Englisch, 344 Seiten, Format (B × H): 135 mm x 230 mm, Gewicht: 472 g

Reihe: Chapman & Hall/CRC Monographs on Statistics and Applied Probability

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.

Autoren/Hrsg.

Fang, Kai-Tai

Wang, Y.

Weitere Mitwirkende

Cox, D.R.

Reid, N.

Isham, Valerie

Tibshirani, R.J.

Louis, Thomas A.

Tong, Howell

Keiding, Niels

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

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.

Über Autor(innen)

Fang, Kai-Tai; Wang, Y.