Competing risk;
maximum likelihood estimator;
Type-I and Type-II censoring;
Fisher information matrix;
asymptotic distribution;
bayesian inference;
exponential distribution;
gamma distribution;
Type-II progressive censoring scheme;
D O I:
暂无
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:
A Type-II progressively hybrid censoring scheme for competing risks data is introduced, where the experiment terminates at a pre-specified time. The likelihood inference of the unknown parameters is derived under the assumptions that the lifetime distributions of the different causes are independent and exponentially distributed. The maximum likelihood estimators of the unknown parameters are obtained in exact forms. Asymptotic confidence intervals and two bootstrap confidence intervals are also proposed. Bayes estimates and credible intervals of the unknown parameters are obtained under the assumption of gamma priors on the unknown parameters. Different methods have been compared using Monte Carlo simulations. One real data set has been analyzed for illustrative purposes.
机构:
Majmaah Univ, Fac Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi ArabiaMajmaah Univ, Fac Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia
Almuqrin, Muqrin A.
Salah, Mukhtar M.
论文数: 0引用数: 0
h-index: 0
机构:
Majmaah Univ, Fac Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi ArabiaMajmaah Univ, Fac Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia
Salah, Mukhtar M.
Ahmed, Essam A.
论文数: 0引用数: 0
h-index: 0
机构:
Taibah Univ, Fac Business Adm, Medina 42353, Saudi Arabia
Sohag Univ, Math Dept, Sohag 82524, EgyptMajmaah Univ, Fac Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia