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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| Language: | English |
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Elsevier
2025-06-01
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| Series: | MethodsX |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215016125001049 |
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| author | 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 |
| author_facet | 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 |
| author_sort | Darnah |
| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-cb5ac0f1776649928d3e573606f4cc3b |
| institution | Kabale University |
| issn | 2215-0161 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | MethodsX |
| spelling | doaj-art-cb5ac0f1776649928d3e573606f4cc3b2025-08-20T03:30:29ZengElsevierMethodsX2215-01612025-06-011410325810.1016/j.mex.2025.103258Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression Darnah0Memi Nor Hayati1Sri Wahyuningsih2Iriyani Kamaruddin3 Suyitno4Andrea Tri Rian Dani5Rito Goejantoro6Desi Yuniarti7Fidia Deny Tisna Amijaya8Ika Purnamasari9Meiliyani Siringoringo10Surya Prangga11Ratna Kusuma12Rahmawati Munir13Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Indonesia; Corresponding author.Department of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Public Health, Faculty of Public Health, Mulawarman University, Samarinda, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Mulawarman University, IndonesiaDepartment of Biology, Faculty of Mathematics and Natural Sciences, Mulawarman University, Samarinda, IndonesiaDepartment of Physics, Faculty of Mathematics and Natural Sciences, Mulawarman University, Samarinda, IndonesiaWe 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 Kalimantanhttp://www.sciencedirect.com/science/article/pii/S2215016125001049Locally Kernel Weighted Maximum Likelihood Estimator for Local Linear Multi-predictor Poisson Regression |
| spellingShingle | 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 Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression MethodsX Locally Kernel Weighted Maximum Likelihood Estimator for Local Linear Multi-predictor Poisson Regression |
| title | Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression |
| title_full | Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression |
| title_fullStr | Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression |
| title_full_unstemmed | Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression |
| title_short | Locally kernel weighted maximum likelihood estimator for local linear multi-predictor poisson regression |
| title_sort | locally kernel weighted maximum likelihood estimator for local linear multi predictor poisson regression |
| topic | Locally Kernel Weighted Maximum Likelihood Estimator for Local Linear Multi-predictor Poisson Regression |
| url | http://www.sciencedirect.com/science/article/pii/S2215016125001049 |
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