吉首大学学报（自然科学版）2026，Vol.47Issue(1)：29-40,12.DOI:10.13438/j.cnki.jdzk.2026.01.006
一种对称损失下Kumaraswamy分布参数的Bayes分析
Bayesian Analysis of Kumaraswamy Distribution Parameters Under a Kind of Symmetric Loss
摘要
Abstract
Under the weighted p,q symmetric entropy loss function,the Bayesian estimation method is used to estimate the Kumaraswamy distribution parameters,and the general and exact forms of the Bayesian estimation of the parameters are obtained,which proves the acceptability and minimum maxi-mum of the obtained Bayesian estimation.The multi-level Bayesian estimation,E-Bayes estimation and knife-cut Bayesian estimation of the parameters are given.The numerical simulation of Bayes,E-Bayes and knife-cut Bayes estimation of Kumaraswamy distribution parameters is carried out by using R soft-ware combined with Metropolis algorithm.The results show that the Bayes estimation under the Jeffreys priors is more accurate than that under the conjugate prior distribution;the estimation properties under the same prior distribution can be better by using the knife cutting method;and the application of E-Bayes estimation can reduce the influence of hyperparameters on the simulation by selecting appropriate constants.关键词
Kumaraswamy分布/损失函数/Bayes估计/可容许性/Metropolis算法Key words
Kumaraswamy distribution/loss function/Bayesian estimation/admissibility/Metropolis algo-rithm分类
数理科学引用本文复制引用
张学成,徐宝..一种对称损失下Kumaraswamy分布参数的Bayes分析[J].吉首大学学报（自然科学版）,2026,47(1):29-40,12.基金项目
国家自然科学基金资助项目(11571138) （11571138）
吉林省科技发展计划项目(YDZJ202201ZYTS622) （YDZJ202201ZYTS622）
