On the maximum likelihood estimation of parameters of Weibull distribution based on complete and censored data

被引：146

作者：

Balakrishnan, N. ^{[1
]}

Kateri, M. ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus 18534, Greece

来源：

STATISTICS & PROBABILITY LETTERS | 2008年 / 78卷 / 17期

关键词：

D O I：

10.1016/j.spl.2008.05.019

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：

The estimation of parameters of a Weibull distribution, requiring numerical methods, has been discussed by numerous authors. in this paper, an alternative approach based on a very simple and easy-to-apply graphical method is proposed, which also readily shows the existence and uniqueness of the maximum likelihood estimates. Furthermore, for censored data from a large sample size, a closed-form estimator for the shape parameter is also obtained. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2971 / 2975

页数：5