Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/317
Type: Journal article
Title: Independent non-identical five-parameter gamma-Weibull variates and their sums
Author: Leipnik, R.
Pearce, C.
Citation: Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2004; 46:265-271
Publisher: Australian Mathematical Society
Issue Date: 2004
ISSN: 1446-1811
Statement of
Responsibility: 
Roy B. Leipnik and Charles E. M. Pearce
Abstract: Gamma-Weibull variates with five parameters are defined by multiplication of gamma and Weibull densities and renormalising. Sums of independent such variates are distributed as combinations of products of gammas and confluent hypergeometric functions and are explicitly determined. Sums of independent non-identical Weibulls arise as a special case. These variates can be used to model moderately extreme scenarios between gamma and Weibull that occur in many natural applications. All results are exact.
Description: © Australian Mathematical Society 2004
Published version: http://www.austms.org.au/Publ/ANZIAM/V46P2/2180.html
Appears in Collections:Applied Mathematics publications
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