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Symmetric Distributions of Random Measures in Higher Dimensions

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  • Kameswarrao S. Casukhela

Abstract

An infinite sequence of random variables X=(X 1, X 2,...) is said to be spreadable if all subsequences of X have the same distribution. Ryll-Nardzewski showed that X is spreadable iff it is exchangeable. This result has been generalized to various discrete parameter and higher dimensional settings. In this paper we show that a random measure on the tetrahedral space $$W_d = \{ (x_1 , \ldots ,x_d ) \in \mathbb{R}_ + ^d {\text{; }}x_1

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  • Kameswarrao S. Casukhela, 1997. "Symmetric Distributions of Random Measures in Higher Dimensions," Journal of Theoretical Probability, Springer, vol. 10(3), pages 759-771, July.
    • Handle: RePEc:spr:jotpro:v:10:y:1997:i:3:d:10.1023_a:1022614013902
    DOI: 10.1023/A:1022614013902
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    References listed on IDEAS

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    1. Aldous, David J., 1981. "Representations for partially exchangeable arrays of random variables," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 581-598, December.
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