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Journal ArticleDOI

Exponentiated Weibull family for analyzing bathtub failure-rate data

G.S. Mudholkar, +1 more
- 01 Jun 1993 - 
- Vol. 42, Iss: 2, pp 299-302
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TLDR
In this article, a simple generalization of the Weibull distribution is presented, which is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the weibull and negative exponential models as subhypotheses.
Abstract
A simple generalization of the Weibull distribution is presented. The distribution is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the Weibull and negative exponential models as subhypotheses. >

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Citations
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Journal ArticleDOI

Likelihood Maximization of Lifetime Distributions With Bathtub-Shaped Failure Rate

TL;DR: In this paper , a multistart nonlinear optimization algorithm was proposed to fit lifetime distributions with bathtub-shaped failure rate to data by the maximum likelihood criterion, which yields better fits than those reported in the literature in 14 out of 19 distribution-dataset pairs.
Journal ArticleDOI

The Yun transform in probabilistic and statistical contexts: Weibull baseline case and its applications in reliability theory

TL;DR: In this paper, the authors proposed a new three-parameter distribution from this family, namely the Yun-Weibull (YW) distribution, based on a particular case of a transform introduced by Yun (2014).
Book ChapterDOI

Lifetime Prediction Model of IGBT Modules in EMU

TL;DR: The IGBT life prediction model is established according to the Weibull distribution obtained by this experiment, which proved that loss on free-wheeling diode accelerated the IGBT aging.
Journal ArticleDOI

The Generalized Gamma – Exponentiated Weibull Distribution with its Properties

TL;DR: In this paper, the cumulative distribution, probability density, reliability and hazard rate functions are introduced, and most vital statistical properties, for instance, the r-th moment, characteristic function, quantile function, simulated data, Shannon and relative entropies besides the stress-strength model are obtained.
References
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Book

Linear statistical inference and its applications

TL;DR: Algebra of Vectors and Matrices, Probability Theory, Tools and Techniques, and Continuous Probability Models.
Book

Statistical Models and Methods for Lifetime Data

TL;DR: Inference procedures for Log-Location-Scale Distributions as discussed by the authors have been used for estimating likelihood and estimating function methods. But they have not yet been applied to the estimation of likelihood.
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