井冈山大学学报（自然科学版）2025，Vol.46Issue(5)：1-11,11.DOI:10.3969/j.issn.1674-8085.2025.05.001
加权p、q对称损失函数下Topp-Leone分布的Bayes估计
BAYES ESTIMATION OF TOPP-LEONE DISTRIBUTION UNDER THE WEIGHTED P AND Q SYMMETRIC LOSS FUNCTION
摘要
Abstract
In the scenario of the weighted p,q symmetric loss function,the Bayes parameter estimation method is used to explore the forms and properties of the Topp-Leone distribution.During this process,the exact forms under the non-informative prior distribution and the conjugate prior distribution are obtained.Meanwhile,the admissibility and minimax estimation of the obtained estimates are proved.Through further calculations,the multi-level Bayes estimates,jackknife Bayes estimates and empirical Bayes are also obtained.Finally,the R language software combined with the MCMC algorithm is utilized to conduct numerical simulations on these estimates.The results show that the Bayes estimates under the non-informative prior distribution are superior to those under the conjugate prior distribution in terms of precision.关键词
Topp-Leone分布/加权p、q对称损失函数/Bayes估计/可容许性/MCMC算法Key words
Topp-Leone distribution/weighted p and q symmetric loss function/Bayes estimation/admissibility/MCMC algorithm分类
数理科学引用本文复制引用
王佳旭,徐宝..加权p、q对称损失函数下Topp-Leone分布的Bayes估计[J].井冈山大学学报（自然科学版）,2025,46(5):1-11,11.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）
