Marshall-Olkin extended Weibull distribution and its application to censored data

被引：117

作者：

Ghitany, ME ^{[1
]}

Al-Hussaini, EK ^{[1
]}

Al-Jarallah, RA ^{[1
]}

机构：

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

来源：

JOURNAL OF APPLIED STATISTICS | 2005年 / 32卷 / 10期

关键词：

Akiake information criterion; Bayesian information criterion; censored data; compound distribution; hazard rate; likelihood ratio test; maximum likelihood; Weibull distribution;

D O I：

10.1080/02664760500165008

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：

In this paper we show that the Marshall-Olkin extended Weibull distribution can be obtained as a compound distribution with mixing exponential distribution. In addition, we provide simple sufficient conditions for the shape of the hazard rate function of the distribution. Moreover, we extend the considered distribution to accommodate randomly right censored data. Finally, application of the extended distribution to a data set representing the remission times of bladder cancer patients is given and its goodness-of-fit is demonstrated.

引用

页码：1025 / 1034

页数：10

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