OBJECTIVE BAYESIAN ANALYSIS BASED ON ZERO-AND-ONE-INFLATED BINOMIAL DISTRIBUTION
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.
国家科技期刊平台
NSTL
万方数据
维普
