Download E-books Contiguity of Probability Measures: Some Applications in Statistics (Cambridge Tracts in Mathematics) PDF

By George G. Roussas

This Tract offers an elaboration of the idea of 'contiguity', that's an idea of 'nearness' of sequences of likelihood measures. It presents a strong mathematical device for developing yes theoretical effects with functions in statistics, quite in huge pattern idea difficulties, the place it simplifies derivations and issues how to vital effects. the potential for this idea has to date in simple terms been touched upon within the present literature, and this ebook presents the 1st systematic dialogue of it. substitute characterizations of contiguity are first defined and concerning extra commonly used mathematical principles of an analogous nature. a couple of basic theorems are formulated and proved. those effects, which supply the technique of acquiring asymptotic expansions and distributions of probability capabilities, are necessary to the purposes which stick with.

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