Optimal progressive censoring under non-identical lifetimes: A Weibull proportional hazards framework

Khatib Astaneh, Bahareh; Razmkhah, Mostafa; Doustparast, Mahdi

doi:10.22034/jirss.2026.2089597.1197

Optimal progressive censoring under non-identical lifetimes: A Weibull proportional hazards framework

Articles in Press

Document Type : Original Article

Authors

Bahareh Khatib Astaneh ¹

Mostafa Razmkhah ²

Mahdi Doustparast ³

¹ Department of Mathematics and Statistics, University of Neyshabur, Neyshabur, Iran

² Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

³ Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

10.22034/jirss.2026.2089597.1197

Abstract

Progressive censoring schemes have numerous applications in survival and reliability analyses. A key problem in this area is the determination of an optimal censoring plan. Existing literature addresses this problem under the assumption of independent and identically distributed lifetimes. However, no study has yet proposed an optimal plan for scenarios where lifetimes are independent but non-identically distributed. This paper proposes an approach to investigate the optimal progressive censoring plan under a proportional hazards model with a two-parameter Weibull baseline distribution for the item lifetimes. To this end, we evaluate the performance of the estimators of the parameters of interest under both the classical and Bayesian frameworks. The optimal censoring scheme is selected by minimizing the root mean squared errors of the estimators. The proposed method is illustrated using a real data set, and some concluding remarks are provided.

Keywords

Bayes estimation

Optimal censoring plan

Proportional hazard rate model

Survival function

Weibull distribution

Subjects

Reliability Theory

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