基于下记录值的逆指数分布模型的Bayes估计  

Bayesian Estimation of Inverse Exponential Distribution Model Based on Lower Record Values

作　　者：程丹 席吉富 罗子怡 苏彦玉 龙兵[1] Cheng Dan;Xi Jifu;Luo Ziyi;Su Yanyu;Long Bing(School of Mathematics and Physics,Jingchu University of Technology,Jingmen,Hubei 448000,China)

机构地区：[1]荆楚理工学院数理学院,湖北荆门448000

出　　处：《黑龙江科学》2023年第12期10-13,共4页Heilongjiang Science

基　　金：荆楚理工学院教育教学研究项目(JX2022-011);2023年湖北省大学生创新训练项目(S202311336055)。

摘　　要：基于下记录值,利用频率方法,讨论了逆指数分布参数的极大似然估计及一致最小方差无偏估计,进一步得到了可靠度及失效率的极大似然估计。利用Bayes方法,在两类损失函数下讨论了逆指数分布的参数、可靠度及失效率的Bayes估计,得到了未知参数的E-Bayes估计,通过数值例子对各种估计的值进行了计算并比较了它们之间的差异。利用本方法基于上记录值,也可研究逆指数分布参数、可靠度及失效率的估计问题。Based on lower record values,the maximum likelihood estimation and the uniform minimum variance unbiased estimation of the parameters for inverse exponential distribution are discussed by using the frequency method,and the maximum likelihood estimates of the reliability and failure rate are further obtained.By using Bayesian method,the Bayesian estimation of the parameter,reliability and failure rate for inverse exponential distribution are discussed under two kinds of loss functions.In addition,the E-Bayesian estimation of the unknown parameter are also obtained.A numerical example is given to calculate various estimated values and compare the differences between them.Based on the above recorded values,this method can also be used to study the inverse exponential distribution parameters,reliability and failure rate estimation.

关 键 词：逆指数分布 下记录值 损失函数 BAYES估计 

分 类 号：O212.8[理学—概率论与数理统计]