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    Volume 45, Issue 4 (July 2017)

    Optimal Plans of Constant-Stress Accelerated Life Tests for the Lindley Distribution

    (Received 29 July 2015; accepted 18 May 2016)

    Published Online: 2017

    CODEN: JTEVAB

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    Abstract

    In this paper, the optimal plans for k-level constant-stress accelerated life test are presented for Lindley 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, two real data sets are analyzed to illustrate the proposed procedures. Furthermore, the real data sets are used to show that the Lindley distribution can be a better model than one based on the exponential distribution. In addition, numerical examples are used to compare between the D-optimal plan, C-optimal plan, and traditional plan through asymptotic variance of maximum likelihood estimators (MLEs). Finally, some interesting conclusions are obtained.


    Author Information:

    Mohie El-Din, M. M.
    Dept. of Mathematics, Faculty of Science, Al-Azhar Univ., Cairo,

    Abu-Youssef, S. E.
    Dept. of Mathematics, Faculty of Science, Al-Azhar Univ., Cairo,

    Ali, N. S. A.
    Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Cairo,

    Abd El-Raheem, A. M.
    Dept. of Mathematics, Faculty of Education, Ain Shams Univ., Cairo,


    Stock #: JTE20150312

    ISSN:0090-3973

    DOI: 10.1520/JTE20150312

    Author
    Title Optimal Plans of Constant-Stress Accelerated Life Tests for the Lindley Distribution
    Symposium ,
    Committee E11