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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 4, Pages 833–840 (Mi tvp3859)  
Short Communications

On estimation of maxima of sums of random variables indexed by edges of graphs

F. I. Karpelevich

Moscow State University of Railway Communications
Full-text PDF (453 kB) Citations (1)
Abstract: This paper considers a family of independent identically distributed random variables that are indexed by the edges of a graph. The maximum of sums of such variables along the paths of the graph is studied. We show that if one graph covers another one, then the maximum of sums for the first graph is stochastically greater than that for the second graph.
Keywords: directed graph, covering of directed graphs, comparison of sums of random variables indexed by edges of graphs.
Received: 05.10.1991
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 4, Pages 696–702
DOI: https://doi.org/10.1137/1139056
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. I. Karpelevich, “On estimation of maxima of sums of random variables indexed by edges of graphs”, Teor. Veroyatnost. i Primenen., 39:4 (1994), 833–840; Theory Probab. Appl., 39:4 (1994), 696–702
Citation in format AMSBIB
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\by F.~I.~Karpelevich
\paper On estimation of maxima of sums of random variables indexed by edges of graphs
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 4
\pages 833--840
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\zmath{https://zbmath.org/?q=an:0845.60046}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 4
\pages 696--702
\crossref{https://doi.org/10.1137/1139056}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TR71500016}
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    • This publication is cited in the following 1 articles:
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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