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Classical methods of estimation on constant stress accelerated life tests under exponentiated Lindley distribution

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  • Sanku Dey
  • Mazen Nassar

Abstract

Accelerated life testing is adopted in several fields to obtain adequate failure time data of test units in a much shorter time than testing at normal operating conditions. The lifetime of a product at constant level of stress is assumed to have an exponentiated Lindley distribution. In this paper, besides maximum likelihood method, eight other frequentist methods of estimation, namely, method of least square estimation, method of weighted least square estimation, method of maximum product of spacing estimation, method of minimum spacing absolute distance estimation, method of minimum spacing absolute-log distance estimation, method of Cramér-von-Mises estimation, method of Anderson-Darling estimation and Right-tail Anderson-Darling estimation are considered to estimate the parameters of the exponentiated Lindley distribution under constant stress accelerated life testing. Moreover, shape parameter and the reliability function under usual conditions are estimated based on aforementioned methods of estimation. To evaluate the performance of the proposed methods, a simulation study is carried out. The performances of the estimators have been compared in terms of their mean squared error using small, medium and large sample sizes. As an illustration, the model and the proposed methods are applied to two accelerated life test data sets.

Suggested Citation

  • Sanku Dey & Mazen Nassar, 2020. "Classical methods of estimation on constant stress accelerated life tests under exponentiated Lindley distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 47(6), pages 975-996, April.
  • Handle: RePEc:taf:japsta:v:47:y:2020:i:6:p:975-996
    DOI: 10.1080/02664763.2019.1661361
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    Cited by:

    1. Mazen Nassar & Farouq Mohammad A. Alam, 2022. "Analysis of Modified Kies Exponential Distribution with Constant Stress Partially Accelerated Life Tests under Type-II Censoring," Mathematics, MDPI, vol. 10(5), pages 1-26, March.
    2. Sanku Dey & Ahmed Elshahhat & Mazen Nassar, 2023. "Analysis of progressive type-II censored gamma distribution," Computational Statistics, Springer, vol. 38(1), pages 481-508, March.
    3. Mazen Nassar & Ahmed Elshahhat, 2023. "Statistical Analysis of Inverse Weibull Constant-Stress Partially Accelerated Life Tests with Adaptive Progressively Type I Censored Data," Mathematics, MDPI, vol. 11(2), pages 1-29, January.
    4. Mohamed Sief & Xinsheng Liu & Abd El-Raheem Mohamed Abd El-Raheem, 2024. "Inference for a constant-stress model under progressive type-II censored data from the truncated normal distribution," Computational Statistics, Springer, vol. 39(5), pages 2791-2820, July.

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