逐步Ⅱ型删失数据下广义指数分布形状参数估计  

Estimation of Shape Parameter of Generalized Exponential Distribution Under Stepwise TypeⅡ

作　　者：林玉婷 韦程东 陈丽玲 罗文婷 唐璐薇 周昭君 LIN Yu-ting;WEI Cheng-dong;CHEN Li-ling;LUO Wen-ting;TANG Lu-wei;ZHOU Zhao-jun(School of Mathematics and Statistics,Nanning Normal University,Nanning 530023,China)

机构地区：[1]南宁师范大学数学与统计学院,广西南宁530100

出　　处：《南宁师范大学学报（自然科学版）》2021年第3期6-11,共6页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(11561010)。

摘　　要：该文研究了在逐步Ⅱ型删失数据下,广义指数分布形状参数的E-Bayes估计,在损失函数为平方损失的情况下,分别给出了三种超参数先验分布的E-Bayes估计表达式.运用R软件中的mcmc程序包进行数值模拟,模拟结果表明,估计效果比较稳健,在相同的样本量下估计值的大小顺序为:α^EB 3>α^EB 2>α^EB 1>α^B,第三种超先验的估计效果最好.Based on the stepwise type Ⅱ censored data,this paper studies the E-Bayes estimation of the shape parameter in the generalized exponential distribution.When the loss function is the square loss,the E-Bayes estimation expressions of three hyperparameter prior distributions are respectively given.Using the mcmc program package in R software to performs numerical simulation,the estimation effect is relatively robust.Under the same sample size,the order of the estimated value is:α^EB 3>α^EB 2>α^EB 1>α^B,the third kind of super-prior estimation effect is the best.

关 键 词：逐步Ⅱ型删失数据 广义指数分布 E-BAYES估计 

分 类 号：O212[理学—概率论与数理统计] O213[理学—数学]