Contiguity of Probability Measures by George G Roussas

Contiguity of Probability Measures by George G Roussas

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Résumé

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.

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Contiguity of Probability Measures by George G Roussas

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.
SKU Non disponible
ISBN 13 9780521083546
ISBN 10 0521083540
Titre Contiguity of Probability Measures
Auteur George G Roussas
Série Cambridge Tracts In Mathematics
État Non disponible
Éditeur Cambridge University Press
Année de publication 1972-10-05
Nombre de pages 262
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible