Parameter estimation of binomial censored δ-shock model

Mohammad Hossein Poursaeed

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 23, 7403-7411

Abstract: In this paper, a system is considered under the censored δ- shock model in which the shocks arrive in accordance with the Bernoulli distribution, and the system fails when no shock occurs in a period of time equal to δ. The maximum likelihood estimator (MLE) is obtained for the failure parameter of the Binomial Censored δ-shock when we only know the number of shocks at the time of system failure. In addition, based on the time of occurrence of shocks on the system, one can obtain sufficient and complete statistics, the maximum likelihood estimator and the uniformly minimum variance unbiased estimator (UMVUE) for the failure parameter of the model. Finally, bias, mean squared error and mean absolute percentage error of the estimators are obtained by numerical simulation.

Date: 2025
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DOI: 10.1080/03610926.2025.2474630

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