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负二项分布参数的贝叶斯区间估计问题

姜培华 纪习习 吴玲

南通大学学报(自然科学版)Issue(2):85-90,6.
南通大学学报(自然科学版)Issue(2):85-90,6.

负二项分布参数的贝叶斯区间估计问题

Research of the Bayesian Interval Estimate on the Parameter of Negative Binomial Distribution

姜培华 1纪习习 1吴玲1

作者信息

  • 1. 安徽工程大学 数理学院,安徽 芜湖 241000
  • 折叠

摘要

Abstract

In terms of prior distribution of Beta distribution, the Bayesian estimation method on the unknown parame-ter θ of negative binomial distribution was studied. By means of the relations between Beta distribution and the F dis-tribution the general posterior interval estimation of parameter θ was given, and the shortest posterior interval estima-tion by means of conditional extreme was gained. By comparing the discussion analysis and numerical examples den-sity curve shape of the different parameters, it was concluded that in the case of small samples, the shortest confi-dence interval estimation method is worth using.

关键词

负二项分布/贝叶斯估计/贝塔分布/区间估计

Key words

negative binomial distribution/Bayesian estimation/Beta distribution/interval estimate

分类

数理科学

引用本文复制引用

姜培华,纪习习,吴玲..负二项分布参数的贝叶斯区间估计问题[J].南通大学学报(自然科学版),2014,(2):85-90,6.

基金项目

国家自然科学基金项目(11226218);2012年地方高校国家级大学生创新创业训练计划项目(201210363122);安徽省自然科学基金项目 ()

南通大学学报(自然科学版)

1673-2340

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