Statistical inference of Poisson censored δ-shock model

Ming Ma, Bo Peng, La Maocuo, Jianhua Ye and Hua Liu

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 13, 3895-3912

Abstract: In this article, the sufficient statistics, complete statistics, and a uniformly minimum variance unbiased estimate (UMVUE) of the failure parameters of the Poisson censored δ-shock model are obtained, which are based on the sample data of shock arrival time. The maximum likelihood estimates of the shock parameters are also obtained by using the EM algorithm, which is based on the total number of observed shock samples. Finally, the estimation errors and convergence rate of the EM iteration are simulated numerically using Matlab R2016b.

Date: 2025
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DOI: 10.1080/03610926.2024.2408580

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