Moment Distributions of Phase Type

Publication: Research - peer-reviewJournal article – Annual report year: 2011

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Moment distributions of phase-type and matrix-exponential distributions are shown to remain within their respective classes. We provide a probabilistic phase-type representation for the former case and an alternative representation, with an analytically appealing form, for the latter. First order moment distributions are of special interest in areas like demography and economics, and we calculate explicit formulas for the Lorenz curve and Gini index used in these disciplines.
Original languageEnglish
JournalStochastic Models
Publication date2011
Volume27
Issue4
Pages651
ISSN1532-6349
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 2

Keywords

  • Gini index, Matrix-exponential distributions, Size-biasing, Lorenz curve, Waiting time paradox, Phase-type distributions, Moment distribution
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