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Estimation for the Reliability Characteristics of a Family of Lifetime Distributions under Progressive Censoring | ||
| Journal of Data Science and Modeling | ||
| دوره 1، شماره 2، شهریور 2023، صفحه 71-86 اصل مقاله (344.33 K) | ||
| نوع مقاله: Research Manuscript | ||
| شناسه دیجیتال (DOI): 10.22054/jcsm.2021.53672.1021 | ||
| نویسندگان | ||
| Alireza Safariyan* 1؛ Reza Arabi Belaghi2 | ||
| 1Shahrood University of Technology | ||
| 2Assistance Professor of Tabriz University | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Lifetime؛ Preliminary Test؛ Progressive Censoring؛ Reliability؛ Stein-Type Shrinkage | ||
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آمار تعداد مشاهده مقاله: 375 تعداد دریافت فایل اصل مقاله: 529 |
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