Bivariate zero-inflated generalized Poisson regression on modelling stillbirth and maternal death

Dewi Novita Sari, Purhadi*, Santi Puteri Rahayu, Irhamah

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Generalized Poisson regression is a common model used for over/underdispersion count data. However, excess zeros in the observed data can create difficulties for this model. The zero-inflation regression model is a model that can be used to handle excess zeros on data. If the observational data is over/underdispersion and excess zero, then the Zero-Inflated Generalized Poisson regression (ZIGPR) is the proper model to use. This study aims to obtain the estimator of the BZIGP regression through the EM algorithm and to model data on stillbirths and maternal deaths in 91 sub-districts in Pekalongan Residency, Central Java. Because there are two response variables, the regression analysis used is Bivariate ZIGPR (BZIGPR). The BZIGPR discussed in this study is BZIGPR type II, where the two BZIGP type II marginal distributions have their parameter of zero inflation to be applied in a broader range. BZIGPR parameter estimation is done using the EM algorithm, while the hypothesis testing of the BZIGPR model is derived using the Maximum Likelihood Ratio Test (MLRT). The model generated in the BZIGPR consists of two parts, the log model and the logit model. The results showed an overdispersion and an underdispersion in maternal deaths and stillbirths data, respectively. Based on empirical studies, all predictor variables affect the two response variables significantly.

Original languageEnglish
Title of host publication7th International Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationMathematics of Quantum Computing
EditorsMuhammad Syifa�ul Mufid, Dieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735442917
DOIs
Publication statusPublished - 19 Dec 2022
Event7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021 - Surabaya, Indonesia
Duration: 2 Oct 2021 → …

Publication series

NameAIP Conference Proceedings
Volume2641
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021
Country/TerritoryIndonesia
CitySurabaya
Period2/10/21 → …

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