Nonparametric Estimation of the Reliability Function Characteristics Using Auxiliary Information

被引：3

作者：

Dmitriev, Yu. G. ^{[1
]}

Koshkin, G. M. ^{[1
]}

机构：

[1] Natl Res Tomsk State Univ, Tomsk, Russia

来源：

RUSSIAN PHYSICS JOURNAL | 2019年 / 61卷 / 12期

关键词：

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

D O I：

10.1007/s11182-019-01656-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：2197 / 2208

页数：12

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