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 suggestion of 'contiguity', that's an idea of 'nearness' of sequences of likelihood measures. It presents a strong mathematical instrument for developing definite theoretical effects with purposes in data, fairly in huge pattern idea difficulties, the place it simplifies derivations and issues how one can vital effects. the possibility of this idea has to this point in basic terms been touched upon within the current literature, and this e-book offers the 1st systematic dialogue of it. replacement characterizations of contiguity are first defined and on the topic of extra common mathematical principles of an identical nature. a couple of normal theorems are formulated and proved. those effects, which offer the technique of acquiring asymptotic expansions and distributions of probability features, are necessary to the purposes which persist with.

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