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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 2, Pages 362–365
DOI: https://doi.org/10.4213/tvp225 (Mi tvp225) 		 
Short Communications

On a property of independent mappings

A. A. Lipchyus

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/tvp225
Abstract: We consider a sufficient condition on a given mapping on a general probability space that any random variable independent of this mapping assumes only finitely valued variables.
Keywords: independence, finitely valued variables, Ottaviani theorem, absolute continuity.
Received: 21.04.2004
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 2, Pages 333–336
DOI: https://doi.org/10.1137/S0040585X9798107X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Lipchyus, “On a property of independent mappings”, Teor. Veroyatnost. i Primenen., 49:2 (2004), 362–365; Theory Probab. Appl., 49:2 (2005), 333–336
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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  • https://www.mathnet.ru/eng/tvp/v49/i2/p362
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