Estimation for the Reliability Characteristics of a Family of Lifetime Distributions under Progressive Censoring

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JCSM-1-2_004

تاریخ نمایه سازی: 18 بهمن 1400

Abstract:

In this paper, the probability of failure-free operation until time t, along with the probability of stress-strength, based on progressive censoring data is studied in a family of lifetime distributions. Since the number of data in a progressive censoring scheme is usually reduced, so shrinkage methods have been used to improve the classical estimator. For estimation purposes, the preliminary test and Stein-type shrinkage estimators are proposed and their exact distributional properties are derived. For numerical superiority demonstration of the proposed estimation strategies, some improved bootstrap confidence intervals, are constructed. The theoretical results are illustrated by a real data examples and an extensive simulation study. Simulation shreds of evidence revealed that our proposed shrinkage strategies perform well in the estimation of parameters based on progressive censoring data.

Authors

Alireza Safariyan

Shahrood University of Technology

Reza Arabi Belaghi

Assistance Professor of Tabriz University