计算机应用与软件2024，Vol.41Issue(4)：46-52,59,8.DOI:10.3969/j.issn.1000-386x.2024.04.007
基于0-1膨胀二项分布的客观贝叶斯分析
OBJECTIVE BAYESIAN ANALYSIS BASED ON ZERO-AND-ONE-INFLATED BINOMIAL DISTRIBUTION
摘要
Abstract
Count data with excess zeros and ones arise frequently in various fields such as medical health,finance and securities.To better fit such data,a zero-and one-inflated binomial distribution model is proposed and the objective Bayesian analysis is carried.Based on data augmentation strategy and the complete likelihood function,the Jeffreys prior and the reference priors were derived for this model.For different sample sizes and different true values of the parameters,simulations were adopted to assess the performance of the different uninformed priors through WinBUGS and R software.We analyze the death toll of COVID-19 on January 28 and February 22,2020.The results show that the fitting effect based on objective Bayesian prior πR3 is better than 7R1 and πR2 in the case of small sample.关键词
0-1膨胀二项分布/客观贝叶斯/Jeffreys先验/reference先验/数据扩充Key words
Zero-and-one-inflated binomial distribution/Objective Bayesian/Jeffreys prior/Reference prior/Data augmentation分类
信息技术与安全科学引用本文复制引用
吴懿祺,肖翔,古晞..基于0-1膨胀二项分布的客观贝叶斯分析[J].计算机应用与软件,2024,41(4):46-52,59,8.基金项目
全国统计科学研究项目(2020LY080) （2020LY080）
上海市大学生创新训练计划项目(cs2021003). （cs2021003）
