Journal article
Moment Distributions of Phase Type
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 |
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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 |
Gini index Lorenz curve Matrix-exponential distributions Moment distribution Phase-type distributions Size-biasing Waiting time paradox