A generalized exponential-type distribution | [Pakistan Journal of Statistics • 2010]

Author(s):

1. Serge B. Provost: Department of Statistical & Actuarial Sciences, The University of Western Ontario, Ontario, Canada

2. 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.

Page(s): 97-110

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 26, Issue: 1, Year: 2010

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