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Inference for the Burr XII reliability under progressive censoring with random removals

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  • Gunasekera, Sumith

Abstract

The inference about the reliability function of Burr XII distribution using the concept of generalized variable method based on progressively type II censoring with random removals, where the number of units removed at each failure time has a discrete uniform distribution, is proposed. As assessed by simulation, the coverage probabilities of the proposed approach are found to be very close to the nominal level even for small samples. The proposed new approaches are computationally simple and are easy to use. The method is illustrated using two examples.

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  • Gunasekera, Sumith, 2018. "Inference for the Burr XII reliability under progressive censoring with random removals," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 182-195.
    • Handle: RePEc:eee:matcom:v:144:y:2018:i:c:p:182-195
    DOI: 10.1016/j.matcom.2017.07.011
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    1. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    2. Li, Xiuchun & Shi, Yimin & Wei, Jieqiong & Chai, Jian, 2007. "Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(5), pages 320-326.
    3. Hari K. Iyer & C.M. Jack Wang & Thomas Mathew, 2004. "Models and Confidence Intervals for True Values in Interlaboratory Trials," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1060-1071, December.
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    Cited by:

    1. Saadati Nik, A. & Asgharzadeh, A. & Raqab, Mohammad Z., 2021. "Estimation and prediction for a new Pareto-type distribution under progressive type-II censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 508-530.
    2. Mohamed A. W. Mahmoud & Mohamed G. M. Ghazal & Hossam M. M. Radwan, 2023. "Bayesian Estimation and Optimal Censoring of Inverted Generalized Linear Exponential Distribution Using Progressive First Failure Censoring," Annals of Data Science, Springer, vol. 10(2), pages 527-554, April.

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