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.
Year
DOI
Venue
2012
10.1145/2185395.2185412
SIGMETRICS Performance Evaluation Review
Keywords
Field
DocType
extremal ph-distributions,coxian distribution,numerical result,majorization result,phase-type distribution,certain subsets,phase type distribution
Discrete mathematics,Majorization,Moment (mathematics),Mathematics
Journal
Volume
Issue
Citations 
39
4
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Qi-Ming He123034.21
Zhang Hanqin222328.29
Juan Vera300.34