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- W2074052623 abstract "Stein's (1970) method of proving limit theorems for sums of dependent random variables is used to derive Poisson approximations for a class of statistics, constructed from finitely exchangeable random variables. Let be exchangeable random elements of a space and, for I a k -subset of , let X I be a 0–1 function. The statistics studied here are of the form where N is some collection of k -subsets of . An estimate of the total variation distance between the distributions of W and an appropriate Poisson random variable is derived and is used to give conditions sufficient for W to be asymptotically Poisson. Two applications of these results are presented." @default.
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- W2074052623 date "1983-09-01" @default.
- W2074052623 modified "2023-10-09" @default.
- W2074052623 title "Poisson approximation for some statistics based on exchangeable trials" @default.
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- W2074052623 doi "https://doi.org/10.2307/1426620" @default.
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