摘要
本文基于平方损失函数和逐次递补首次完全失效样本,探究Pareto(帕累托)分布参数的一致最小方差无偏估计(uniformly minimum variance unbiased estimate,UMVUE)和参数型经验Bayes(parametric empirical bayes,PEB)估计,并对UMVUE和PEB的优良性进行比较,给出PEB估计的收敛速度。
Based on the square loss function,the first complete failure samples were filled in step by step,and the UMVUE(uniform minimum variance unbiased estimate)and PEB(parametric empirical Bayes)estimates of Pareto distribution were explored.The optimal value of UMVUE and PEB was compared,and the convergence rate of PEB estimation was obtained.
作者
刘荣玄
Liu Rongxuan(Department of Mathematics,Jiangxi New Energy Technology Vocational College,Xinyu 383001;Jiangxi,China.2.College of Mathematics and Physics,Jinggangshan University,Ji'an 343009;Jiangxi,China.2.Col)
出处
《科技通报》
2024年第5期8-12,共5页
Bulletin of Science and Technology
基金
江西省教育厅科学技术项目(GJJ216504)。
