Statistical analysis of Gompertz distribution based on progressively type-II censored competing risk model with binomial removals

被引:1
作者
Boulkeroua, Fouzia B. [1 ]
Al-Jarallah, Reem A. [2 ]
Raqab, Mohammad Z. [1 ,2 ]
机构
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Kuwait Univ, Dept Stat & OR, Al Shadadiyah, Kuwait
关键词
Gompertz distribution; Progressive Type-II censoring competing risks; Binomial removals; Importance sampling; Maximum likelihood estimation; Bayesian estimation; ORDER-STATISTICS; INFERENCE; POPULATIONS; PREDICTION;
D O I
10.1285/i20705948v15n2p389
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
Here in this paper, we consider the progressive Type-II censoring Gompertz data under competing risks model with binomial removals. The maximum likelihood estimators of the model parameters involved are obtained by applying numerical methods and the asymptotic variance-covariance matrix of the estimates is also derived. Bayesian estimates based on importance sampling procedure are developed under squared error, LINEX and general entropy loss functions. The confidence intervals using the asymptotic normality and Bayesian approaches are also developed. Finally, a Monte Carlo simulation is conducted to evaluate the performance of the so proposed estimators under all these different estimation methods.
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页数:33
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