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(a,b)类分布的统计性质

田家卓 王德辉 李雁林

吉林大学学报(理学版)2016,Vol.54Issue(3):480-486,7.
吉林大学学报(理学版)2016,Vol.54Issue(3):480-486,7.DOI:10.13413/j.cnki.jdxblxb.2016.03.14

(a,b)类分布的统计性质

Statistical Properties of (a,b)Class Distribution

田家卓 1王德辉 1李雁林1

作者信息

  • 1. 吉林大学 数学学院,长春 130012
  • 折叠

摘要

Abstract

By using Bayesian method to analyze a class of (a ,b ) distribution, we studied the relationship between variance and expectation,and gave the moments estimation and maximum likelihood estimation (MLE)of a and b .Base on the MLE ,we gave the Bayesian estimation of the classes distribution (a ,b ,0)by using Lindley approximation lemma,and used MATLAB to carry on the related simulation.Simulation results show that the choice of the Bayesian estimation is better if the sample size of (a ,b ,0 )distribution estimation is large;conversely,the moment estimation is better.

关键词

类分布/Bayes 估计/矩估计/极大似然估计/期望/方差

Key words

class distribution/Bayesian estimation/moment estimation/maximum likelihood estimation (MLE)/expectation/variance

分类

数理科学

引用本文复制引用

田家卓,王德辉,李雁林..(a,b)类分布的统计性质[J].吉林大学学报(理学版),2016,54(3):480-486,7.

基金项目

国家自然科学基金(批准号:11271155) (批准号:11271155)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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