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- W15384329 abstract "The central limit behavior of sums of exchangeable random variables with symmetric mixands, via either constant norming or self-norming, is examined. It will be shown that, unlike the i.i.d. situation, for sums of exchangeable random variables self-norming is more robust than constant norming. Necessary and sufficient conditions are provided for selfnormalizability to a normal limit and constant normalizability to limits which are either normal or a mixture of normals. An example shows that self-norming can lead to asymptotic normality even when constant norming fails to yield a non-degenerate limit." @default.
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- W15384329 date "1998-01-01" @default.
- W15384329 modified "2023-09-26" @default.
- W15384329 title "Distinctions Between the Regular and Empirical Central Limit Theorems for Exchangeable Random Variables" @default.
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- W15384329 doi "https://doi.org/10.1007/978-3-0348-8829-5_8" @default.
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