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Darnah, Hayati MN, Wahyuningsih S, Kamaruddin I, Suyitno, Dani ATR, Goejantoro R, Yuniarti D, Amijaya FDT, Purnamasari I, Siringoringo M, Prangga S, Kusuma R, Munir R. Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression. MethodsX 2025; 14:103258. [PMID: 40201157 PMCID: PMC11978355 DOI: 10.1016/j.mex.2025.103258] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2024] [Accepted: 03/07/2025] [Indexed: 04/10/2025] Open
Abstract
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.
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Affiliation(s)
- Darnah
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Memi Nor Hayati
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Sri Wahyuningsih
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Iriyani Kamaruddin
- Department of Public Health, Faculty of Public Health, Mulawarman University, Samarinda, Indonesia
| | - Suyitno
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Andrea Tri Rian Dani
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Rito Goejantoro
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Desi Yuniarti
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Fidia Deny Tisna Amijaya
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Ika Purnamasari
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Meiliyani Siringoringo
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Surya Prangga
- Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia
| | - Ratna Kusuma
- Department of Biology, Faculty of Mathematics and Natural Sciences, Mulawarman University, Samarinda, Indonesia
| | - Rahmawati Munir
- Department of Physics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Samarinda, Indonesia
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