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Erschienen in:
1988 | OriginalPaper | Buchkapitel
Statistics Independent of a Sufficient Statistic
verfasst von : J. K. Ghosh
Erschienen in: Statistical Information and Likelihood
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Let X be a random variable (sample) taking values in an arbitrary sample space X with the associated σ-field of measurable sets A and the family of probability measures {Pθ}, θ ε Ω. By a statistic T = T(X) we mean a measurable characteristic of the sample X, i.e., T is an A-B measurable transformation of the measurable space (X,A) into some measurable space(J,B). The family of induced (by the mapping T) probability measures on J is denoted by {PθT-1},θ ε Ω.