Email this article Nonparametric Estimation of the Reliability Function Characteristics Using Auxiliary Information
- Authors: Dmitriev Y.G.1, Koshkin G.M.1
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Affiliations:
- National Research Tomsk State University
- Issue: Vol 61, No 12 (2019)
- Pages: 2197-2208
- Section: Article
- URL: https://bakhtiniada.ru/1064-8887/article/view/241325
- DOI: https://doi.org/10.1007/s11182-019-01656-5
- ID: 241325
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Abstract
Estimators of the reliability function characteristics of a non-restorable element using auxiliary information on the time to failure distribution law under conditions of nonparametric prior uncertainty are suggested. Optimal mean square error estimators and adaptive optimal estimators are constructed, and their limiting distributions are found. Illustrative examples are presented.
About the authors
Yu. G. Dmitriev
National Research Tomsk State University
Author for correspondence.
Email: dmit70@mail.ru
Russian Federation, Tomsk
G. M. Koshkin
National Research Tomsk State University
Email: dmit70@mail.ru
Russian Federation, Tomsk
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