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Journal article

Moment Distributions of Phase Type

From

Department of Informatics and Mathematical Modeling, Technical University of Denmark1

Mathematical Statistics, Department of Informatics and Mathematical Modeling, Technical University of Denmark2

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.

Language: English
Publisher: Taylor & Francis Group
Year: 2011
Pages: 651-663
ISSN: 15324214 and 15326349
Types: Journal article
DOI: 10.1080/15326349.2011.614192
ORCIDs: Nielsen, Bo Friis

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