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Volume 47, Issue 2 (February 2019)
Optimal Plans of Constant-Stress Accelerated Life Tests for Extension of the Exponential Distribution
(Received 20 October 2016; accepted 27 September 2017)
Published Online: 09 May 2018
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In this article, the optimal plans for a k-level constant-stress accelerated life test are presented for extension of the exponential failure data under complete sampling. According to the log-linear life-stress relationship, the optimal proportion of test units allocated to each stress level is determined under D- and C-optimality criteria. Moreover, a real data set is analyzed to illustrate the proposed procedures. Furthermore, the real data set is used to show that extension of the exponential (EE) distribution can be a better model than both Weibull distribution and generalized exponential distribution. In addition, numerical examples are used to illustrate the proposed procedures and to compare between the D-optimal plan and C-optimal plan through asymptotic variance of maximum likelihood estimators. Finally, some interesting conclusions are obtained.
Abd El-Raheem, A. M.
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo,
Stock #: JTE20170227
Title Optimal Plans of Constant-Stress Accelerated Life Tests for Extension of the Exponential Distribution