A new multivariate zero‐adjusted Poisson model with applications to biomedicine

Y Liu, GL Tian, ML Tang, KC Yuen - Biometrical Journal, 2019 - Wiley Online Library
Recently, although advances were made on modeling multivariate count data, existing
models really has several limitations:(i) The multivariate Poisson log‐normal model …

Likelihood-based methods for the zero-one-two inflated Poisson model with applications to biomedicine

Y Sun, S Zhao, GL Tian, ML Tang… - Journal of Statistical …, 2023 - Taylor & Francis
To model count data with excess zeros, ones and twos, for the first time we introduce a so-
called zero-one-two-inflated Poisson (ZOTIP) distribution, including the zero-inflated …

[HTML][HTML] Multivariate zero-and-one inflated Poisson model with applications

C Zhang, GL Tian, KC Yuen, Q Wu, T Li - Journal of Computational and …, 2020 - Elsevier
This paper extends the univariate zero-and-one inflated Poisson (ZOIP) distribution
(Melkersson & Olsson, 1999; Zhang et al., 2016) to its multivariate version, which can be …

Predicting the multivariate zero‐inflated counts: A novel model averaging method under Pearson loss

Y Liu, Z Gao - Statistics in Medicine, 2024 - Wiley Online Library
Excessive zeros in multivariate count data are often observed in scenarios of biomedicine
and public health. To provide a better analysis on this type of data, we first develop a …

Type I multivariate zero-inflated generalized Poisson distribution with applications

XF Huang, GL Tian, C Zhang, X Jiang - Statistics and its Interface, 2017 - intlpress.com
Excessive zeros in multivariate count data are often encountered in practice. Since the
Poisson distribution only possesses the property of equi-dispersion, the existing Type I …

Generalized partially linear single‐index model for zero‐inflated count data

X Wang, J Zhang, L Yu, G Yin - Statistics in Medicine, 2015 - Wiley Online Library
Count data often arise in biomedical studies, while there could be a special feature with
excessive zeros in the observed counts. The zero‐inflated Poisson model provides a natural …

A Bayesian approach of joint models for clustered zero-inflated count data with skewness and measurement errors

Y Fu, P Chu, L Lu - Journal of Applied Statistics, 2015 - Taylor & Francis
Count data with excess zeros are widely encountered in the fields of biomedical, medical,
public health and social survey, etc. Zero-inflated Poisson (ZIP) regression models with …

Properties of the zero-and-one inflated Poisson distribution and likelihood-based inference methods

C Zhang, GL Tian, KW Ng - Statistics and its interface, 2016 - intlpress.com
To model count data with excess zeros and excess ones, in their unpublished manuscript,
Melkersson and Olsson (1999) extended the zero-inflated Poisson distribution to a zero-and …

Marginalized multilevel hurdle and zero‐inflated models for overdispersed and correlated count data with excess zeros

W Kassahun, T Neyens, G Molenberghs… - Statistics in …, 2014 - Wiley Online Library
Count data are collected repeatedly over time in many applications, such as biology,
epidemiology, and public health. Such data are often characterized by the following three …

The multivariate component zero‐inflated Poisson model for correlated count data analysis

Q Wu, GL Tian, T Li, ML Tang… - Australian & New …, 2023 - Wiley Online Library
Multivariate zero‐inflated Poisson (ZIP) distributions are important tools for modelling and
analysing correlated count data with extra zeros. Unfortunately, existing multivariate ZIP …