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- W2030483982 abstract "In this note we observe that for independent symmetric random variables X and Y, when the pdf of X is PF∞, the conditional distributions of ¦Y¦ given S = X + Y form a MLR family. We then show that for a function ϕ: R n→R that is symmetric in each coordinate and increasing on (0, ∞)n, E(ϕ(S1,...,Sn)¦Sn = s) is even and increasing in ¦s¦. Here S1,...,Sn are partial sums with independent symmetric PF∞ summands. Application is made to sequential tests that minimize the maximum expected sample size when the model is a one-parameter exponential family generated by a symmetric PF ∞ density." @default.
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- W2030483982 date "1978-01-01" @default.
- W2030483982 modified "2023-09-23" @default.
- W2030483982 title "Some monotonicity properties of symmetric p�lya densities and their exponential families" @default.
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- W2030483982 doi "https://doi.org/10.1007/bf00533466" @default.
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