Browsing by Author "Redner, Richard Alan"
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Item Characterizations of linear sufficient statistics(1977) Redner, Richard AlanIn this paper we characterize the continuous linear sufficient statistics for a dominated collection of measures on a Banach space. This is followed by a characterization of exponential families with emphasis on those measures on R[raised n] whose densities with respect to Lebesgue measure are multivariate normal densities. Finally, the relation between Bayes sufficiency and sufficient statistics is studied.