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Smooth Estimators of the Reliability Functions for Non-Restorable Elements

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Russian Physics Journal Aims and scope

Empirical distribution and reliability functions are discrete that often does not correspond to real random variables in physical applications. Smooth nonparametric estimators of the reliability function based on finite and Laplace kernel functions are suggested. The asymptotic mean square error of the estimator and its limiting distribution are presented that allow a new interval estimation of the reliability function to be constructed. Advantages of the suggested estimators over the well-known parametric algorithms for calculations of the strength reliability are discussed.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    G. M. Koshkin

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  1. G. M. Koshkin
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Correspondence to G. M. Koshkin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 96–103, May, 2014.

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Koshkin, G.M. Smooth Estimators of the Reliability Functions for Non-Restorable Elements. Russ Phys J 57, 672–681 (2014). https://doi.org/10.1007/s11182-014-0290-y

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  • DOI: https://doi.org/10.1007/s11182-014-0290-y

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