Analysis of joint multiple failure mode and linear degradation data with renewals

被引：19

作者：

Bagdonavicius, V.

Bikelis, A.

Kazakevicius, V.

Nikulin, Mikhail

机构：

[1] Univ Bordeaux 2, F-33076 Bordeaux, France

[2] Vilnius State Univ, Dept Math Stat, Vilnius, Lithuania

[3] VA Steklov Math Inst, St Petersburg 191011, Russia

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2007年 / 137卷 / 07期

关键词：

competing risks; degradation; joint model; non-parametric estimation; renewals; PROPORTIONAL HAZARDS MODEL; TIME DATA; ESTIMATOR;

D O I：

10.1016/j.jspi.2006.07.002

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Non-parametric estimators of various competing modes intensities and failure probabilities from linear degradation-failure time data with partial renewals are given. Decompositions of counting processes associated with degradation and failure moments are obtained. Some of these decompositions imply estimation procedures. Others are used to obtain asymptotic properties of estimators. Conditions for the uniform consistency of the estimators are given. The limit law of the estimators is obtained. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：2191 / 2207

页数：17

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