Research Article
Year 2014,
Volume: 43 Issue: 3, 473 - 510, 01.06.2014
Abstract
Birnbaum and Saunders [11] introduced a positive continuous distribution commonly used in reliability studies. Based on this distribution,
we propose and study the called Kummer beta Birnbaum-Saunders distribution for modeling fatigue life data. Various properties of the new
distribution including explicit expressions for the moments, generating
function, mean deviations, density function of the order statistics and
their moments are derived. We investigate maximum likelihood estimation of the parameters. The superiority of the new distribution is
illustrated by means of two failure real data sets.
we propose and study the called Kummer beta Birnbaum-Saunders distribution for modeling fatigue life data. Various properties of the new
distribution including explicit expressions for the moments, generating
function, mean deviations, density function of the order statistics and
their moments are derived. We investigate maximum likelihood estimation of the parameters. The superiority of the new distribution is
illustrated by means of two failure real data sets.
Keywords
Birnbaum-Saunders distribution Fatigue life distribution Kummer beta distribution Lifetime data Maximum likelihood estimation
References
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There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Statistics |
| Authors | |
| Publication Date | June 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 3 |