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

Liu，Yin1; Tian，Guo Liang2; Tang，Man Lai3; Yuen，Kam Chuen4

2019-11-01

10.1002/bimj.201700144

BIOMETRICAL JOURNAL   影响因子和分区

0323-3847

1521-4036

Recently, although advances were made on modeling multivariate count data, existing models really has several limitations: (i) The multivariate Poisson log-normal model (Aitchison and Ho, 1989) cannot be used to fit multivariate count data with excess zero-vectors; (ii) The multivariate zero-inflated Poisson (ZIP) distribution (Li et al., 1999) cannot be used to model zero-truncated/deflated count data and it is difficult to apply to high-dimensional cases; (iii) The Type I multivariate zero-adjusted Poisson (ZAP) distribution (Tian et al., 2017) could only model multivariate count data with a special correlation structure for random components that are all positive or negative. In this paper, we first introduce a new multivariate ZAP distribution, based on a multivariate Poisson distribution, which allows the correlations between components with a more flexible dependency structure, that is some of the correlation coefficients could be positive while others could be negative. We then develop its important distributional properties, and provide efficient statistical inference methods for multivariate ZAP model with or without covariates. Two real data examples in biomedicine are used to illustrate the proposed methods.

data augmentation algorithm expectation–maximization algorithm hypothesis testing multivariate zero-adjusted Poisson stochastic representation

SCI ; SSCI

英语

其他

Research Grant Council of the Hong Kong Special Administrative Region[UGC/FDS14/P01/16]

Mathematical & Computational Biology ; Mathematics

Mathematical & Computational Biology ; Statistics & Probability

WOS:000493178000001

WILEY

MATHEMATICS

2-s2.0-85047482794

Scopus

1.School of Statistics and MathematicsZhongnan University of Economics and Law,Wuhan,430073,China
2.Department of MathematicsSouthern University of Science and Technology,Shenzhen,518055,China
3.Department of Mathematics and StatisticsSchool of Decision SciencesHang Seng Management College,Shatin,Siu Lek Yuen,Hong Kong
4.Department of Statistics and Actuarial ScienceThe University of Hong Kong,Pokfulam Road,Hong Kong

Liu，Yin,Tian，Guo Liang,Tang，Man Lai,et al. A new multivariate zero-adjusted Poisson model with applications to biomedicine[J]. BIOMETRICAL JOURNAL,2019,61(6):1340-1370.

Liu，Yin,Tian，Guo Liang,Tang，Man Lai,&Yuen，Kam Chuen.(2019).A new multivariate zero-adjusted Poisson model with applications to biomedicine.BIOMETRICAL JOURNAL,61(6),1340-1370.

Liu，Yin,et al."A new multivariate zero-adjusted Poisson model with applications to biomedicine".BIOMETRICAL JOURNAL 61.6(2019):1340-1370.