A Variant of the Necessary Condition for the Absolute Continuity of Symmetric Multivariate Mixture

Evgeniy Anatolievich Savinov
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Evgeniy Anatolievich Savinov: Financial University under the Government of the Russian Federation, 125993 Moscow, Russia

Mathematics, 2021, vol. 9, issue 13, 1-3

Abstract: Sufficient conditions are given under which the absolute continuity of the joint distribution of conditionally independent random variables can be violated. It is shown that in the case of a dimension n > 1 this occurs for a sufficiently large number of discontinuity points of one-dimensional conditional distributions.

Keywords: a multidimensional mixture; de Finetti’s theorem; permutation values; reliability theory; singular copulas (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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