摘要
基于逐步增加Ⅱ型截尾样本,讨论了Burr-XⅡ分布的Bayes估计及其性质。在不同的先验分布及刻度平方误差损失函数下给出了参数,可靠度函数以及失效率函数的Bayes估计,并证明了估计的容许性。最后运用Monte Carlo方法对各结果的MSE进行了模拟比较。结果表明,本文给出的估计结果精度高。
In this paper, Bayesian estimation and its admissibility of the Burr-X Ⅱ distribution are discussed by utilizing on progressively Type- Ⅱ censored samples. The estimation for parameters and reliability index of the Burr-X Ⅱ distribution are obtained by using non-informative prior and conjugate prior and considering sealed squared error loss. At last, the statistical performances of the Bayesian estimations are compared through the MSE based on Monte Carlo simulation study. According to these comparisons, it is suggested that the Bayes estimation we have derived has high-precision.
出处
《系统工程》
CSCD
北大核心
2009年第5期113-116,共4页
Systems Engineering
基金
国家自然科学基金资助项目(70471057)
陕西省教育厅自然科学基金资助项目(03JK065)
