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Research Article Open access CC BY 4.0

Estimation in Step-stress Partially Accelerated Life Test for Exponentiated Pareto Distribution under Progressive Censoring with Random Removal

Amal S. Hassan, Marwa Abd-Allah, Hamdy G. A. El-Elaa

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 16 Oct 2017

10.9734/JAMCS/2017/34691

Abstract

Accelerated life testing or partially accelerated life testing is generally used in manufacturing industries since it affords significant minimization in the cost and test time. In this paper, a step-stress partially accelerated life test under progressive type-II censoring with random removals is considered. The lifetime of testing items under use condition follow the exponentiated Pareto distribution and the removals from the test are assumed to have binomial distribution. Maximum likelihood estimators for the model parameters and acceleration factor are obtained. Approximate confidence intervals for the parameters are formed via the normal approximation to the asymptotic distribution of maximum likelihood estimators. Simulation study is carried out to investigate the performance of estimators for different parameters values and sample size.

Partially accelerated life test maximum likelihood estimation binomial distribution progressively type II censored.

References (7)

  1. 1 Modeling failure time data by lehman alternatives [DOI]
  2. 2 Optimal design of partially accelerated life tests for the exponential distribution under type-I censoring [DOI]
  3. 3 Statistical analysis of Weibull distributed lifetime data under Type II progressive censoring with binomial removals [DOI]
  4. 4 Statistical inference based on progressively censored samples with random removals from the Burr type XII distribution [DOI]
  5. 5 Estimation in step-stress partially accelerated life tests for the Burr type XII distribution using type I censoring [DOI]
  6. 6 Accuracy of approx confidence bounds using censored Weibull regression data from accelerated life tests [DOI]
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Cited by 6

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Mahmoud A. Eltehiwy, Noura A. Abu El‐magd · Quality and Reliability Engineering International · 2025

Bayesian Analysis in Partially Accelerated Life Tests for Weighted Lomax Distribution

Rashad Bantan, Amal S. Hassan, Ehab Almetwally · Computers, Materials & Continua · 2021

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