Contiguity of Probability Measures by George G Roussas

Contiguity of Probability Measures by George G Roussas

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Zusammenfassung

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 Nicht verfügbar
ISBN 13 9780521083546
ISBN 10 0521083540
Titel Contiguity of Probability Measures
Autor George G Roussas
Serie Cambridge Tracts In Mathematics
Buchzustand Nicht verfügbar
Verlag Cambridge University Press
Erscheinungsjahr 1972-10-05
Seitenanzahl 262
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar