Title

Bayesian analysis of multiple-inflation Poisson models and its application to infection data

Document Type

Article

Publication Date

5-1-2018

Subject Area

ARRAY(0x55f3e8e18638)

Abstract

In this article we propose a multiple-inflation Poisson regression to model count response data containing excessive frequencies at more than one non-negative integer values. To handle multiple excessive count responses, we generalize the zero-inflated Poisson regression by replacing its binary regression with the multinomial regression, while Su et al. [Statist. Sinica 23 (2013) 1071–1090] proposed a multiple-inflation Poisson model for consecutive count responses with excessive frequencies. We give several properties of our proposed model, and do statistical inference under the fully Bayesian framework. We perform simulation studies and also analyze the data related to the number of infections collected in five major hospitals in Turkey, using our methodology.

Publication Title

Brazilian Journal of Probability and Statistics

Volume

32

Issue

2

First Page

239

Last Page

261

Digital Object Identifier (DOI)

10.1214/16-BJPS340

ISSN

01030752

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