Symmetric Distributions of Random Measures in Higher Dimensions

Kameswarrao S. Casukhela

Journal of Theoretical Probability, 1997, vol. 10, issue 3, 759-771

Abstract: 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

Keywords: Exchangeability; spreadability; random measures (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1023/A:1022614013902

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