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Bayes Estimates of the Variance of a Normal Population for Prior Conjugate Distributions of Independent Parameters with Application to Estimation in Finite Populations.

机译：独立参数先验共轭分布正态总体方差的Bayes估计及其在有限总体估计中的应用。

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摘要

A Bayes estimator of the variance of a normal distribution n(mu, sigma-squared), when mu is unknown, is developed for squared-error loss and conjugate priors of independent parameters. In the present study its formula is developed and its relative efficiency is compared with that of the Bayes estimator and with that of the best equivariant estimator. Application of the estimator to the estimation of the variance of a finite population is provided.

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作者
Zacks, S.;
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年度 1979
页码 1-16
总页数 16
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Normal distribution; Statistical decision theory; Population(Mathematics); Efficiency; Estimates; Analysis of variance; Random variables; Error analysis; Chi square test; Bayesian estimation;

机译：正态分布;统计决策理论;人口（数学）;效率;估计;方差分析;随机变量;误差分析;卡方检验;贝叶斯估计;

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1. The empirical Bayes estimators of the mean and variance parameters of the normal distribution with a conjugate normal-inverse-gamma prior by the moment method and the MLE method [J] . Zhang Ying-Ying, Rong Teng-Zhong, Li Man-Man Communications in Statistics . 2019,第7a9期

机译：矩阵正常逆γ的正常分布的平均值和方差参数的经验贝叶斯估计与MLE方法及MLE方法
2. Automatic Bayes factors for testing variances of two independent normal distributions [J] . Boing-Messing Florian, Mulder Joris Journal of Mathematical Psychology . 2016,第Null期

机译：测试两个独立正态分布方差的自动贝叶斯因子
3. Nonparametric Bayes and empirical Bayes estimation of the population median, with application in finite-population sampling [J] . Malay Ghosh, Jiyoun Myung, Paduthol Godan Sankaran Mathematical population studies . 2018,第1a4期

机译：人口中位数的非参数贝叶斯和经验贝叶斯估计，在有限群体采样中的应用
4. Maximum-entropy Conjugate Priors of Variance under Normal Distribution [C] . H.Hasyim, Y.Ishii, A.Wadi, Conference of Biomathematics . 2008

机译：正态分布下方差的最大熵共轭先验
5. Adaptive Smoothing Parameter in Kernel Density Estimation and Parameter Estimation in Normal Mixture Distributions [D] . Mahzabeen, Sabiha. 2019

机译：正常混合分布中的内核密度估计和参数估计中的自适应平滑参数
6. Performance comparison of first-order conditional estimation with interaction and Bayesian estimation methods for estimating the population parameters and its distribution from data sets with a low number of subjects [O] . Sudeep Pradhan, Byungjeong Song, Jaeyeon Lee, 2017

机译：一阶条件估计与交互性和贝叶斯估计方法之间的性能比较用于从人口较少的数据集中估计总体参数及其分布
7. ADMISSIBILITY AND BAYES ESTIMATION IN SAMPLING FINITE POPULATIONS. II [O] . Author(s) V. M. Joshi, V. M. Joshi 2015

机译：抽样有限人口的可录取性和贝叶斯估计。 II

Bayes Estimates of the Variance of a Normal Population for Prior Conjugate Distributions of Independent Parameters with Application to Estimation in Finite Populations.

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