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A class of exchangeable sequences

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  • Gnedin, Alexander V.

Abstract

Assuming that the probability distribution of a finite sequence has a density depending solely on the extreme components we give an elementary criterion for extendibility of this sequence to an infinite exchangeable sequence of random variables, which turns out to be a mixture of iid uniformly distributed sequences. A one-sided version of this result leads to a Schoenberg-type theorem for the maximum norm

Suggested Citation

  • Gnedin, Alexander V., 1996. "A class of exchangeable sequences," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 159-164, June.
  • Handle: RePEc:eee:stapro:v:28:y:1996:i:2:p:159-164
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    References listed on IDEAS

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    1. von Plato, Jan, 1991. "Finite partial exchangeability," Statistics & Probability Letters, Elsevier, vol. 11(2), pages 99-102, February.
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