Review Articles

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

Yincai Tang ,

School of Statistics, East China Normal University, Shanghai, China

Wenchen Liu ,

School of Statistics, East China Normal University, Shanghai, China

Ancha Xu

College of Mathematics and Information Science, Wenzhou University, Zhejiang, China

Pages 216-226 | Received 22 Jul. 2017, Accepted 31 Oct. 2017, Published online: 17 Nov. 2017,
  • Abstract
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In this paper, a zero-and-one-inflated Poisson (ZOIP) model is studied. The maximum likelihood estimation and the Bayesian estimation of the model parameters are obtained based on data augmentation method. A simulation study based on proposed sampling algorithm is conducted to assess the performance of the proposed estimation for various sample sizes. Finally, two real data-sets are analysed to illustrate the practicability of the proposed method.


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