STUDY OF A GENERALIZED WEIBULL DISTRIBUTION WITH OSCILLATORY FAILURE RATE

被引：0

作者：

Wang, Ronghua ^{[1
]}

Gu, Beiqing ^{[2
]}

Xu, Xiaoling ^{[2
]}

Zhang, Shu-Yi ^{[2
]}

机构：

[1] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China

[2] Shanghai Univ Int Business & Econ, Sch Stat & Informat, Shanghai 201620, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Density function; failure rate; lifetime distribution; oscillating type; parameter estimation; MEAN RESIDUAL LIFE; SHAPE;

D O I：

10.11948/20220544

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A four-parameter life distribution ORS(& lambda;, A, m, & beta;) with oscillatory failure rate is given, which can be regarded as a generalization of the Weibull distribution. For the three-parameter oscillation type distribution ORS(A, m, & beta;), the image characteristics of the failure rate are theoretically proved, and the parameter estimation method is given in the whole sample case. Finally, the paper illustrates the feasibility of the method by simulating and practical examples.

引用

页码：2326 / 2342

页数：17

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