Bayesian Approach for Constant-Stress Accelerated Life Testing for Kumaraswamy Weibull Distribution with Censoring

The accelerated life tests provide quick information on the life time distributions by testing materials or products at higher than basic conditional levels of stress such as pressure, high temperature, vibration, voltage or load to induce failures. In this paper, the acceleration model assumed is l...

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Bibliographic Details
Published in:Pakistan journal of statistics and operation research 2016-01, Vol.12 (4), p.673
Main Authors: El-Helbawy, Abeer Abd-Alla, Al-Dayian, Gannat Ramadan, Rezk, Hoda Ragab
Format: Article
Language:English
Subjects:
Accelerated life tests
Failure
Mathematical models
Monte Carlo methods
Pakistan
Parameters
Stresses
Weibull distribution
Online Access:Get full text
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Summary:The accelerated life tests provide quick information on the life time distributions by testing materials or products at higher than basic conditional levels of stress such as pressure, high temperature, vibration, voltage or load to induce failures. In this paper, the acceleration model assumed is log linear model. Constant stress tests are discussed based on Type I and Type II censoring. The Kumaraswmay Weibull distribution is used. The estimators of the parameters, reliability, hazard rate functions and p-th percentile at normal condition, low stress, and high stress are obtained. In addition, credible intervals for parameters of the models are constructed. Optimum test plan are designed. Some numerical studies are used to solve the complicated integrals such as Laplace and Markov Chain Monte Carlo methods.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v12i4.1173