Staff Members - Benha University
Estimating the Modified Weibull Parameters in Presence of Step-Stress Partially Accelerated Life Testing
• 2018
Publication Information
Authors
Mohamed A. W. Mahmoud, Rashad M. EL-Sagheer, Amr M. Abou-Senna
Keywords
Not Available
Journal
Not Available
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, assuming that the lifetime of each item under normal condition
follows the modi edWeilbull distribution, partially accelerated life tests based on progressive
Type-II censored samples are considered. The likelihood equations are to be solved numer-
ically to obtain the maximum likelihood estimates. Based on normal approximation to the
asymptotic distribution of maximum likelihood estimates, the approximate con dence inter-
vals for the parameters are derived. It is di¢ cult to get explicit form for Bayes estimates,
so Markov chain Monte Carlo method is used to solve this problem, which gives us exi-
bility to construct the credible intervals for the parameters. Lindley approximation is also
being disscussed to obtain Bayes estimators. Finally, an illustrative example and simulation
studies are being considered.
follows the modi edWeilbull distribution, partially accelerated life tests based on progressive
Type-II censored samples are considered. The likelihood equations are to be solved numer-
ically to obtain the maximum likelihood estimates. Based on normal approximation to the
asymptotic distribution of maximum likelihood estimates, the approximate con dence inter-
vals for the parameters are derived. It is di¢ cult to get explicit form for Bayes estimates,
so Markov chain Monte Carlo method is used to solve this problem, which gives us exi-
bility to construct the credible intervals for the parameters. Lindley approximation is also
being disscussed to obtain Bayes estimators. Finally, an illustrative example and simulation
studies are being considered.