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Arifin, Samsul
Department of Statistics, Lambung Mangkurat University, Banjarbaru
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Environmental Science Health Professions Mathematics Physics Public Health Social Sciences Transportation Other

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Modeling with Robust Kernel Nonparametric Regression on Childhood Stunting in Kalimantan Samsul Arifin; Selvi Annisa; Siswanto
Inferensi Vol 9 No 2 (2026)
Publisher : Department of Statistics ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j27213862.v9i2.9914

Abstract

This study models stunting prevalence across 56 regencies/cities in Kalimantan using robust kernel nonparametric regression. This approach addresses the nonlinear relationship between stunting and four predictors: access to improved sanitation, low birth weight, population density, and poverty rate. An examination of influential observations using DFFITS identified five regencies as outliers; thus, the robust MM-estimator approach was applied to mitigate the influence of these extreme observations on the estimation results. Optimal bandwidth selection was performed using the Cross-Validation (CV) method across several kernel functions, namely Epanechnikov, Gaussian, and Uniform. The results demonstrated that the Uniform kernel function yielded the smallest CV value with a bandwidth combination of h1=0.6, h2=0.2, h3=0.6, and h4=0.2. The Robust Uniform Kernel model delivered the best performance, with an MSE of 2.0556, RMSE of 1.4337, MAE of 0.6581, and of 0.9510. This study indicates that robust MM-estimator kernel nonparametric regression can produce stunting prevalence estimates that are more accurate, flexible, and stable in the presence of outliers.
Co-Authors A. Fahmi Indrayani Ahmad Amaludin Al Hujjah Asianingrum Al Hujjah Asianingrum Ananda, Saira Aulia Andreza Andreza Anggraini, Dewi Anna Islamiyati Ardiansyah Abubakar Delia Nur Haliza Dewi Anggraini Dewi Rahma Ente Dewi Sri Susanti Deyana Maulidya Rahmawan Hedi Kuswanto Herdiani, Erna Tri Nabilah, Dwi Anisatun Nur Salam Raihan Nuur Hakim Raupong, Raupong Reny Maharani Selvi Annisa Siswanto Siswanto Sri Astuti Thamrin Ulfa Rusyada