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Finite partial exchangeability

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  • von Plato, Jan

Abstract

In partial exchangeability a sequence divides into k classes and probability remains invariant only for permutations within classes. We give an inequality for partial exchangeability with k = 2. Violation of the inequality leads to genuinely finite partial exchangeability.

Suggested Citation

  • von Plato, Jan, 1991. "Finite partial exchangeability," Statistics & Probability Letters, Elsevier, vol. 11(2), pages 99-102, February.
    • Handle: RePEc:eee:stapro:v:11:y:1991:i:2:p:99-102
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    Citations

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    Cited by:

    1. Gnedin, Alexander V., 1995. "On a class of exchangeable sequences," Statistics & Probability Letters, Elsevier, vol. 25(4), pages 351-355, December.
    2. G. Jay. Kerns & Gábor J. Székely, 2006. "Definetti’s Theorem for Abstract Finite Exchangeable Sequences," Journal of Theoretical Probability, Springer, vol. 19(3), pages 589-608, December.
    3. Gnedin, Alexander V., 1996. "A class of exchangeable sequences," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 159-164, June.
    4. Paolo Leonetti, 2018. "Finite Partially Exchangeable Laws Are Signed Mixtures of Product Laws," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 80(2), pages 195-214, August.

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