Robust Geographically Weighted Regression Modeling using Least Absolute Deviation and M-Estimator

Author:

Wulandari Puteri Pekerti1,Djuraidah Anik1,Wigena Aji Hamim1

Affiliation:

1. Department of Statistics, Bogor Agricultural University, Bogor, West Java, Indonesia

Abstract

Geographically weighted regression (GWR) is development of multiple regression that has spatial varying, so that the estimator of GWR is different for each location. Parameter estimation in GWR uses weighted least square method which is vulnerable to outlier and can cause biased parameter estimation. The robust GWR (RGWR) with LAD and M-estimator is resistance to outliers. This research estimated parameters on RGWR using LAD and M-estimator method and uses data of Java gross domestic product (GRDP) in 2015 containing several outliers. The result showed that RGWR model was better than GWR with M-estimator, and the predictions were closer to the actual values.

Publisher

Technoscience Academy

Subject

General Medicine

Reference12 articles.

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2. Afifah R. 2017. Robust Geographically Weighted Regression with Least Absolute Deviation Method in Case of Poverty in Java Island. 1827(1):020023. doi: 10.1063/14979439.

3. Anselin L. 1988. Spatial Econometrics: Method and Models. Kluwer Academic Publisher. The Netherlands.

4. Azizah RI. 2015. Pendugaan Parameter Model Dinamik Dengan Metode Median Absolute Deviation dan Bisquare M-Estimation [Skripsi]. Bogor : Institut Pertanian Bogor.

5. [BI] Bank Indonesia. 2015. Metadata : Produk Domestik Regional Bruto (PDRB). Jakarta : Bank Indonesia.

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