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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 1, Pages 148–151
DOI: https://doi.org/10.4213/tvp612 (Mi tvp612) 		 
Short Communications

The class $I_0$ for random increasing upper semicontinuous functions

D. Neuenschwander

Université de Lausanne, Ecole des Hautes Etudes Commerciales, Institut de Sciences Actuarielles, Suisse
Full-text PDF (610 kB)
DOI: https://doi.org/10.4213/tvp612
Abstract: Let $C$ be the convex cone $USC_*([0,1],\mathbf{R}_+)$ of increasing upper semicontinuous functions $g\colon[0,1]\to\mathbf{R}_+$. It is shown that the class $I_0(C)$ of distributions on $C$ without indecomposable factor is strictly included in the class of infinitely divisible distributions on $C$.
Keywords: probability measures without indecomposable factor, upper semicontinuous function, infinitely divisible distributions.
Received: 17.02.1998
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 1, Pages 106–109
DOI: https://doi.org/10.1137/S0040585X97977458
Bibliographic databases:
Document Type: Article
Language: English
Citation: D. Neuenschwander, “The class $I_0$ for random increasing upper semicontinuous functions”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 148–151; Theory Probab. Appl., 44:1 (2000), 106–109
Citation in format AMSBIB
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\pages 148--151
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\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 1
\pages 106--109
\crossref{https://doi.org/10.1137/S0040585X97977458}
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  • https://www.mathnet.ru/eng/tvp/v44/i1/p148
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