Estimating model of the number of HIV and AIDS cases in East Java using Bi-response negative binomial regression based on local linear estimator

Amin Tohari, Nur Chamidah, Fatmawati

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

2 Citations (Scopus)

Abstract

The number of HIV and AIDS cases is a count data correlated with each other. The common model to regress two response variables in the form of count data is bi-response Poisson regression. One infraction of assumptions in the Poisson regression is over dispersion. Negative binomial regression is to be solution to this over dispersion case. This study aims to estimate bi-response negative binomial nonparametric regression model based on local linear estimators for modeling the number of HIV and AIDS cases in East Java. The results give the deviance value as the goodness of fit criterion of bi-response negative binomial nonparametric regression model by using local linear estimator of 2.263 which is smaller than the deviance value of the parametric regression model of 3.926. It means that the bi-response negative binomial nonparametric regression model by using local linear estimator is better than that by using parametric regression model approach to explain the relationship between HIV and AIDS cases affected by drug users in East Java.

Original languageEnglish
Title of host publicationSymposium on Biomathematics 2019, SYMOMATH 2019
EditorsMochamad Apri, Vitalii Akimenko
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735420243
DOIs
Publication statusPublished - 22 Sept 2020
EventSymposium on Biomathematics 2019, SYMOMATH 2019 - Bali, Indonesia
Duration: 25 Aug 201928 Aug 2019

Publication series

NameAIP Conference Proceedings
Volume2264
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceSymposium on Biomathematics 2019, SYMOMATH 2019
Country/TerritoryIndonesia
CityBali
Period25/08/1928/08/19

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