Contiguity of Probability Measures

Some Applications in Statistics

By:

George G Roussas

Format:

Paperback / softback

Series:

Cambridge Tracts in Mathematics

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Description

This Tract presents an elaboration of the notion of 'contiguity', which is a concept of 'nearness' of sequences of probability measures. It provides a powerful mathematical tool for establishing certain theoretical results with applications in statistics, particularly in large sample theory problems, where it simplifies derivations and points the way to important results. The potential of this concept has so far only been touched upon in the existing literature, and this book provides the first systematic discussion of it. Alternative characterizations of contiguity are first described and related to more familiar mathematical ideas of a similar nature. A number of general theorems are formulated and proved. These results, which provide the means of obtaining asymptotic expansions and distributions of likelihood functions, are essential to the applications which follow.

Release date Australia

November 27th, 2008

Author

George G Roussas

Audience

Professional & Vocational

Illustrations

Worked examples or Exercises

Pages

264

Series

Cambridge Tracts in Mathematics

Dimensions

140x216x15

ISBN-13

9780521090957

Product ID

2797521

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