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On 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 i.i.d. 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., 1995. "On a class of exchangeable sequences," Statistics & Probability Letters, Elsevier, vol. 25(4), pages 351-355, December.
    • Handle: RePEc:eee:stapro:v:25:y:1995:i:4:p:351-355
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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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    Cited by:

    1. Esteves, L.G. & Wechsler, S. & Iglesias, P.L., 2004. "Some characterizations of uniform models," Statistics & Probability Letters, Elsevier, vol. 69(4), pages 397-404, October.
    2. Mai, Jan-Frederik & Scherer, Matthias, 2020. "On the structure of exchangeable extreme-value copulas," Journal of Multivariate Analysis, Elsevier, vol. 180(C).

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