Majorization and Extremal PH-Distributions (abstract only)

Q.M. He, H. Zhang, J.C. Vera

Research output: Contribution to journalArticleScientificpeer-review

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.
Original languageEnglish
Pages (from-to)27-27
JournalPerformance Evaluation Review
Volume39
Issue number4
DOIs
Publication statusPublished - 2012

Cite this

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title = "Majorization and Extremal PH-Distributions (abstract only)",
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.",
author = "Q.M. He and H. Zhang and J.C. Vera",
year = "2012",
doi = "10.1145/2185395.2185412",
language = "English",
volume = "39",
pages = "27--27",
journal = "Performance Evaluation Review",
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}

Majorization and Extremal PH-Distributions (abstract only). / He, Q.M.; Zhang, H.; Vera, J.C.

In: Performance Evaluation Review, Vol. 39, No. 4, 2012, p. 27-27.

Research output: Contribution to journalArticleScientificpeer-review

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AB - 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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