OPTIMUM STEP STRESS ACCELERATED LIFE TESTING FOR FRECHET DISTRIBUTION

  • Kamran Abbas Department of Statistics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan
  • Maryam Firdos Department of Statistics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan
Keywords: Accelerated Life Testing, Frechet Distribution, Asymptotic Variance, Cumulative Exposure Model, Log-Linear Relationship, Simple Step Stress

Abstract

Nowadays products become more reliable so these highly reliable products could take long time to fail under normal condition. To overcome this problem, accelerated life testing has been used to estimate the reliability of these products. In this paper, we propose Frechet step stress accelerated life test plan under cumulative exposure model assuming a log-linear relationship between Frechet scale parameter and stresses. The simulation study is used for estimation. Further, optimal plan is designed using real data set by minimizing the asymptotic variance of the maximum likelihood estimators at 100pthpercentile of the design stress. Finally, sensitivity analysis is designed.

 

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Published
2018-04-28
Section
Articles