Majorization and Extremal PH-Distributions (abstract only)

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

doi:10.1145/2185395.2185412

Majorization and Extremal PH-Distributions (abstract only)

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

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	27-27
Journal	Performance Evaluation Review
Volume	39
Issue number	4
DOIs	https://doi.org/10.1145/2185395.2185412
Publication status	Published - 2012

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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",

issn = "0163-5999",

publisher = "Association for Computing Machinery",

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AU - He, Q.M.

AU - Zhang, H.

AU - Vera, J.C.

PY - 2012

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N2 - 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.

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.

U2 - 10.1145/2185395.2185412

DO - 10.1145/2185395.2185412

M3 - Article

SN - 0163-5999

VL - 39

SP - 27

EP - 27

JO - Performance Evaluation Review

JF - Performance Evaluation Review

IS - 4

ER -

Majorization and Extremal PH-Distributions (abstract only)

Abstract

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