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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 4, Pages 696–714
DOI: https://doi.org/10.4213/tvp2180 (Mi tvp2180) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Eaton problem and multiplicative properties of multivariate distributions

A. D. Lisitskii

Izhorskiye Zavody
Full-text PDF (944 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp2180
Abstract: A new representation is proposed for the scale factor (so-called standard) in the Eaton problem on n-dimensional versions of random vectors. An extension of the Eaton problem to the nonsymmetric case is formulated. A new approach based on analysis of multiplicative properties of random vectors and random variables is suggested, which permits, in particular, to establish, with uniformity of attitude, most of the presently known results on description of classes of n-dimensional versions.
Keywords: standard, Eaton, the Eaton problem, $n$-dimensionalversion, multiplicative properties, distribution.
Received: 31.03.1993
Revised: 02.04.1997
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 4, Pages 618–632
DOI: https://doi.org/10.1137/S0040585X97976453
Bibliographic databases:
Language: Russian
Citation: A. D. Lisitskii, “The Eaton problem and multiplicative properties of multivariate distributions”, Teor. Veroyatnost. i Primenen., 42:4 (1997), 696–714; Theory Probab. Appl., 42:4 (1998), 618–632
Citation in format AMSBIB
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\paper The Eaton problem and multiplicative properties of~multivariate distributions
\jour Teor. Veroyatnost. i Primenen.
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\pages 696--714
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 4
\pages 618--632
\crossref{https://doi.org/10.1137/S0040585X97976453}
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  • https://doi.org/10.4213/tvp2180
  • https://www.mathnet.ru/eng/tvp/v42/i4/p696
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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