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Pakistan Journal of Statistics
A generalized exponential-type distribution
Author(s)
Serge B. Provost
Department of Statistical & Actuarial Sciences, The University of Western Ontario, Ontario, Canada
I. Mabrouk
Department of Statistical & Actuarial Sciences, The University of Western Ontario, Ontario, CANADA
Abstract
This article proposes a five-parameter exponential-type distribution whose exact moments and normalizing constant are obtained as inverse Mellin transforms and expressed as generalized hypergeometric functions. Several commonly used statistical distributions such as the gamma, Weibull and half-normal turn out to be particular cases of this generalized distribution. It is shown in a numerical example that the proposed distribution produces a better fit than the Weibull or inverse Gaussian distributions when used for modeling a data set consisting of maximum flood levels over a certain time period.
Publication Details
Page(s)
97-110
DOI
DOI not available
Published
Journal: Pakistan Journal of Statistics, Volume: 26, Issue: 1, Year: 2010
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