Abstract

As a result of technology improvement getting information about products and materials lifetimes under usual conditions. Therefore accelerated life testing or partially accelerated life testing usually are used to truncate the tests survives. The test items under accelerated life testing run under accelerated conditions and partially life tests run under both accelerated and use conditions. The main idea of accelerated life testing that the acceleration element is not unknown or the mathematical model relating the lifetime of the unit and the stress is known or can be assumed. In some cases, neither acceleration factor nor life-stress relations are not unknown. This paper concerned with studying and discussed the constant–stress partially accelerated life test (CPALT) under type I censored (T.I.C) competing risks data. Failure times resulting from T.I.C competing risks data are assumed to follow the Extended generalized log logistic (EGLL) distribution because this model is completely flexible to study positive data. This distribution is applied in various fields, for example lifetime studies, economics, finance and insurance. The maximum likelihood (ML) method is used to estimate the parameters under TIC competing risks data. The simulation algorithm is performed to assess the theoretical results of the maximum likelihood estimates based on TIC competing risks data.

Highlights

  • In experiments ALT is applied to reduce time and cast

  • Model Description and Its Assumptions we show the fundamental assumptions for the life test of the product in constant–stress partially accelerated life test (CPALT) competing failure of the model

  • 3) Clearly, the acceleration of the experiment is useful to get outcomes and data quickly, yet the most consequences of normal condition are more exact that speeding up condition

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Summary

Introduction

In experiments ALT is applied to reduce time and cast. There are different methods of acceleration. PALT is suitable when the acceleration failure are the mathematical model is unknown, see AbdelHamid and Al-Hussaini [2], Hassan et al.[3], Hassan et al.[4], Abu-Zinadah and Ahmed [5], Ismail [6], A.A. Ismail, A.A. Albabtain [7], Ismail and Al Tamim [8], Ismail and Al Harbi [9], Li and Zheng [10] , Zarrin, el al.[11], Fawzy [12], The EGLL was first introduced by Lima and Corderio [13].

Competing Risks Plans and Model Description
Simulation Study
Conclusion
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