On the likelihood estimation of the parameters of Gompertz distribution based on complete and progressively Type-II censored samples

被引：25

作者：

Ghitany, M. E. ^{[1
]}

Alqallaf, F. ^{[1
]}

Balakrishnan, N. ^{[2
]}

机构：

[1] Kuwait Univ, Fac Sci, Dept Stat & Operat Res, Safat 13060, Kuwait

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

来源：

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 2014年 / 84卷 / 08期

关键词：

Gompertz distribution; progressive Type-II censoring; maximum-likelihood estimates; ordinary Type-II right censoring; existence and uniqueness;

D O I：

10.1080/00949655.2013.766738

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, by considering a progressively Type-II censored sample from the two-parameter Gompertz distribution, a necessary and sufficient condition is established for the existence and uniqueness of the maximum-likelihood estimates of the shape and scale parameters. The results for the special cases of complete and ordinary Type-II right censored samples are then deduced. Several numerical examples from the literature are presented for the purpose of illustrating the established results.

引用

页码：1803 / 1812

页数：10

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