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
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 ()