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- W2323808620 abstract "In his paper Necessary and sufficient statistics for a family of probability distributions, Dynkin (1951) establishes the important concept of rank for such a family with this conclusion: If the rank is infinite, then the family has no non-trivial sufficient statistic in any size of sample. His concept of rank is based on a theorem, Theorem 2 described below, which has been pointed out by Brown (1964) to be invalid under its hypotheses. This note shows that Dynkin's Theorem 2 remains valid under its original hypotheses provided that the set (in Dynkin's notation) Δ - S is countable." @default.
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- W2323808620 date "1969-06-01" @default.
- W2323808620 modified "2023-09-28" @default.
- W2323808620 title "A Note on a Theorem of Dynkin on Necessary and Sufficient Statistics" @default.
- W2323808620 doi "https://doi.org/10.4153/cmb-1969-046-5" @default.
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