Abstract

Poisson regression is nonlinear regression analysis of the Poisson distribution used to analyze discrete data. In Poisson regression requires conditions where the mean and variance values of the response variable are equal or in an equidisperion conditions. However, in many cases over dispersion or under dispersion frequently occurs. One of method to resolve over dispersion and under dispersion cases is the distribution of Poisson Inverse Gaussian (PIG). Not all of the cases in Poisson Inverse Gaussian have only one response variable, in fact some cases will have more than one response variable. In this research, bivariate regression model was developed which involves spatial factor with geographic weighting. In fact, not all variables in the geographically weighted regression model (GWR) have spatial impact, there are several predictor variables has global impact. This research use Maximum Likelihood Estimation (MLE) with Newton-Raphson iteration to obtain parameter model estimator. Afterwards, get the test statistic on the Mixed Geographically Weighted Bivariate Poisson Inverse Gaussian Regression (MGWBPIGR) model using Maximum Likelihood Ratio Test (MLRT).

Original languageEnglish
Title of host publicationProceeding - 2018 International Symposium on Advanced Intelligent Informatics
Subtitle of host publicationRevolutionize Intelligent Informatics Spectrum for Humanity, SAIN 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages62-65
Number of pages4
ISBN (Electronic)9781538652800
DOIs
Publication statusPublished - 2 Jul 2018
Event2018 International Symposium on Advanced Intelligent Informatics, SAIN 2018 - Yogyakarta, Indonesia
Duration: 29 Aug 201830 Aug 2018

Publication series

NameProceeding - 2018 International Symposium on Advanced Intelligent Informatics: Revolutionize Intelligent Informatics Spectrum for Humanity, SAIN 2018

Conference

Conference2018 International Symposium on Advanced Intelligent Informatics, SAIN 2018
Country/TerritoryIndonesia
CityYogyakarta
Period29/08/1830/08/18

Keywords

  • Bivariate regression
  • GWR
  • MGWBPIGR
  • MLE
  • MLRT
  • Newton-raphson
  • PIG

Fingerprint

Dive into the research topics of 'Parameter Estimation and Statistical Test in Mixed Model of Geographically Weighted Bivariate Poisson Inverse Gaussian Regression'. Together they form a unique fingerprint.

Cite this