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Nonparametric Estimation of the Reliability Function Characteristics Using Auxiliary Information

  • Yu. G. DmitrievEmail author
  • G. M. Koshkin
Article
  • 3 Downloads

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.

Keywords

reliability function nonparametric uncertainty adaptive estimator auxiliary information mean square error asymptotic normality 

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.National Research Tomsk State UniversityTomskRussia

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