Contiguity of Probability Measures

Klappentext This Tract presents an elaboration of the notion of 'contiguity'! which is a concept of 'nearness' of sequences of probability measures. 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. Inhaltsverzeichnis 1. On the concept of contiguity and related theorems; 2. Asymptotic expansion and asymptotic distribution of likelihood functions; 3. Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency; 4. Some statistical applications: AUMP and AUMPU tests for certain testing hypotheses problems; 5. Some statistical applications: asymptotic efficiency of estimates; 6. Multiparameter asymptotically optimal tests.

Klappentext
This Tract presents an elaboration of the notion of 'contiguity', which is a concept of 'nearness' of sequences of probability measures.

Inhalt
1. On the concept of contiguity and related theorems; 2. Asymptotic expansion and asymptotic distribution of likelihood functions; 3. Approximation of a given family of probability measures by an exponential family - asymptotic sufficiency; 4. Some statistical applications: AUMP and AUMPU tests for certain testing hypotheses problems; 5. Some statistical applications: asymptotic efficiency of estimates; 6. Multiparameter asymptotically optimal tests.

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