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Nonparametric Estimation of the Reliability Function Characteristics Using Auxiliary Information

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Russian Physics Journal Aims and scope

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.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    Yu. G. Dmitriev & G. M. Koshkin

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  1. Yu. G. Dmitriev
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  2. G. M. Koshkin
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Correspondence to Yu. G. Dmitriev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 47–56, December, 2018.

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Dmitriev, Y.G., Koshkin, G.M. Nonparametric Estimation of the Reliability Function Characteristics Using Auxiliary Information. Russ Phys J 61, 2197–2208 (2019). https://doi.org/10.1007/s11182-019-01656-5

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  • DOI: https://doi.org/10.1007/s11182-019-01656-5

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