Accelerated life tests under pareto-iv lifetime distribution: Real data application and simulation study

A. M. Abd El-Raheem; M. H. Abu-Moussa; Marwa M.Mohie El-Din; E. H. Hafez

doi:10.3390/math8101786

Accelerated life tests under pareto-iv lifetime distribution: Real data application and simulation study

A. M. Abd El-Raheem, M. H. Abu-Moussa, Marwa M.Mohie El-Din, E. H. Hafez

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19 Scopus citations

Abstract

In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.

Original language	English
Article number	1786
Pages (from-to)	1-19
Number of pages	19
Journal	Mathematics
Volume	8
Issue number	10
DOIs	https://doi.org/10.3390/math8101786
State	Published - Oct 2020
Externally published	Yes

Keywords

Bayes estimation
Maximum likelihood estimation
Progressive type-II censoring
Progressive-stress
Simulation study
Tierney and Kadane approximation

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10.3390/math8101786

Cite this

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title = "Accelerated life tests under pareto-iv lifetime distribution: Real data application and simulation study",

abstract = "In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.",

keywords = "Bayes estimation, Maximum likelihood estimation, Progressive type-II censoring, Progressive-stress, Simulation study, Tierney and Kadane approximation",

author = "\{Abd El-Raheem\}, \{A. M.\} and Abu-Moussa, \{M. H.\} and El-Din, \{Marwa M.Mohie\} and Hafez, \{E. H.\}",

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AU - Abd El-Raheem, A. M.

AU - Abu-Moussa, M. H.

AU - El-Din, Marwa M.Mohie

AU - Hafez, E. H.

PY - 2020/10

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KW - Maximum likelihood estimation

KW - Progressive type-II censoring

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Accelerated life tests under pareto-iv lifetime distribution: Real data application and simulation study

Abstract

Keywords

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