On MLEs of the parameters of a modified Weibull distribution for progressively type-2 censored samples

被引：13

作者：

Jiang, H. ^{[1
]}

Xie, M. ^{[1
]}

Tang, L. C. ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Ind & Syst Engn, Singapore 117548, Singapore

来源：

JOURNAL OF APPLIED STATISTICS | 2010年 / 37卷 / 04期

关键词：

modified Weibull distribution; bathtub-shaped failure rate; maximum likelihood estimation; Hessian matrix; uniqueness and existence; FAILURE RATE-FUNCTION; MAXIMUM-LIKELIHOOD-ESTIMATE; GROUPED DATA; FAMILY; MODEL; UNIQUENESS; EXISTENCE; EXTENSION;

D O I：

10.1080/02664760902803289

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：

Lifetimes of modern mechanic or electronic units usually exhibit bathtub-shaped failure rates. An appropriate probability distribution to model such data is the modified Weibull distribution proposed by Lai et al. [15]. This distribution has both the two-parameter Weibull and type-1 extreme value distribution as special cases. It is able to model lifetime data with monotonic and bathtub-shaped failure rates, and thus attracts some interest among researchers because of this property. In this paper, the procedure of obtaining the maximum likelihood estimates (MLEs) of the parameters for progressively type-2 censored and complete samples are studied. Existence and uniqueness of the MLEs are proved.

引用

页码：617 / 627

页数：11

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