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Majorization and Extremal PH-Distributions (abstract only)

Published: 09 April 2012 Publication History

Abstract

This paper presents majorization results for PH-generators. Based on the majorization results, Coxian distributions are identified to be extremal PH-distributions with respect to the first moment for certain subsets of PH-distributions. Bounds on the mean of phase-type distributions are found. In addition, numerical results indicate that Coxian distributions are extremal PH-distributions with respect to the moment of any order for certain subsets of PH-distributions.

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 39, Issue 4
March 2012
134 pages
ISSN:0163-5999
DOI:10.1145/2185395
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 09 April 2012
Published in SIGMETRICS Volume 39, Issue 4

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