Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression

We introduce a new multi-predictor regression model based on the Poisson distribution using a local linear approach called the local linear multi-predictor Poisson regression. The optimal bandwidth in this study was selected based on the maximum likelihood cross-validation (MLCV) value. The locally...

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Main Authors: Darnah, Memi Nor Hayati, Sri Wahyuningsih, Iriyani Kamaruddin, Suyitno, Andrea Tri Rian Dani, Rito Goejantoro, Desi Yuniarti, Fidia Deny Tisna Amijaya, Ika Purnamasari, Meiliyani Siringoringo, Surya Prangga, Ratna Kusuma, Rahmawati Munir
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:MethodsX
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Online Access:http://www.sciencedirect.com/science/article/pii/S2215016125001049
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Summary:We introduce a new multi-predictor regression model based on the Poisson distribution using a local linear approach called the local linear multi-predictor Poisson regression. The optimal bandwidth in this study was selected based on the maximum likelihood cross-validation (MLCV) value. The locally kernel-weighted maximum likelihood estimator is used to estimate the regression curve at a given point. Parameter estimation was performed using the Newton-Raphson iteration method. The superior points in this research are: • A new model in regression to model multi-predictor case Poisson regression problems using a local liner approach • Optimal bandwidth selection using MCLV • Application of multi predictor case Poisson regression problems using a local liner approach to health data; namely the stunting case in East Kalimantan
ISSN:2215-0161