井冈山大学学报（自然科学版）2026，Vol.47Issue(2)：9-17,9.DOI:10.3969/j.issn.1674-8085.2026.02.002
两种先验下两参数逆Kum分布参数的Bayes分析
Bayesian analysis of parameters of the two-parameter inverse Kumaraswamy distribution under two different priors
摘要
Abstract
Under the weighted p and q symmetric entropy loss functions,the general and exact form of Bayesian estimation for this parameter are obtained by using the Bayesian estimation method,which proves the acceptability and minimaxity of the obtained Bayesian estimation.Finally,the numerical simulation is carried out by the R program combined with the obtained estimates,and the results show that the Bayes estimation under the Jeffreys prior is more accurate than the Bayesian estimation under the conjugate prior distribution.E-Bayes estimation can reduce the influence of hyperparameters on the simulation.关键词
逆Kum分布/损失函数/Bayes估计/可容许性/MCMC算法Key words
inverse Kumaraswamy distribution/loss function/Bayesian estimation/admissibility/MCMC algorithm分类
数理科学引用本文复制引用
张学成,徐宝..两种先验下两参数逆Kum分布参数的Bayes分析[J].井冈山大学学报（自然科学版）,2026,47(2):9-17,9.基金项目
国家自然科学基金项目(11571138) （11571138）
吉林省科技发展计划项目(YDZJ202201ZYTS622) （YDZJ202201ZYTS622）
