Statistical inference for zero-and-one-inflated poisson models  

作　　者：Yincai Tang Wenchen Liu Ancha Xu 

机构地区：[1]School of Statistics,East China Normal University,Shanghai,China [2]College of Mathematics and Information Science,Wenzhou University,Zhejiang,China

出　　处：《Statistical Theory and Related Fields》2017年第2期216-226,共11页统计理论及其应用（英文）

基　　金：The research is supported by the Natural Science Foundation of China(Nos.11271136,81530086,11671303,11201345);the 111 Project of China(No.B14019);the Natural Science Foundation of Zhejiang Province(No.LY15G010006);the China Postdoctoral Science Foundation(No.2015M572598);National Natural Science Foundation of China(CN)[grant number 11671303],[grant number 11201345]:Ministry of Education of the People’s Republic of China(CN)[grant number B14019];China Postdoctoral Science Foundation(CN)[grant number 2015M572598];National Natural Science Foundation of China(CN)[grant number 11271136],[grant number 81530086];Natural Science Foundation of Zhejiang Province(CN)[grant number LY15G010006].

摘　　要：In this paper, a zero-and-one-inflated Poisson (ZOIP) model is studied. The maximum likelihoodestimation and the Bayesian estimation of the model parameters are obtained based on dataaugmentation method. A simulation study based on proposed sampling algorithm is conductedto assess the performance of the proposed estimation for various sample sizes. Finally, two realdata-sets are analysed to illustrate the practicability of the proposed method.

关 键 词：Zero-inflated Poisson model zero-and-one-inflated Poisson model MLE Bayesian estimate EM algorithm latent variable Gibbs sampling 

分 类 号：TN9[电子电信—信息与通信工程]