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

Yincai Tang; Wenchen Liu; Ancha Xu

doi:10.1080/24754269.2017.1400419

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

Yincai Tang^*
, Wenchen Liu
, Ancha Xu

^*Corresponding author for this work

School of Statistics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	216-226
Number of pages	11
Journal	Statistical Theory and Related Fields
Volume	1
Issue number	2
DOIs	https://doi.org/10.1080/24754269.2017.1400419
State	Published - 3 Jul 2017

Keywords

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

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10.1080/24754269.2017.1400419

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title = "Statistical inference for zero-and-one-inflated poisson models",

abstract = "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.",

keywords = "Bayesian estimate, EM algorithm, Gibbs sampling, MLE, Zero-inflated Poisson model, latent variable, zero-and-one-inflated Poisson model",

author = "Yincai Tang and Wenchen Liu and Ancha Xu",

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AU - Tang, Yincai

AU - Liu, Wenchen

AU - Xu, Ancha

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N2 - 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.

AB - 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.

KW - Bayesian estimate

KW - EM algorithm

KW - Gibbs sampling

KW - MLE

KW - Zero-inflated Poisson model

KW - latent variable

KW - zero-and-one-inflated Poisson model

UR - https://www.scopus.com/pages/publications/85067893325

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M3 - 文章

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SP - 216

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JO - Statistical Theory and Related Fields

JF - Statistical Theory and Related Fields

IS - 2

ER -

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

Abstract

Keywords

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