Considering a non-polynomial basis for local kernel regression problem

A common used as solution for local kernel nonparametric regression problem is given using polynomial regression. In this study, we demonstrated the estimator and properties using maximum likelihood estimator for a non-polynomial basis such B-spline to replacing the polynomial basis. This estimator...

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Main Authors: Silalahi, Divo Dharma, Midi, Habshah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57323/
http://psasir.upm.edu.my/id/eprint/57323/1/Considering%20a%20non-polynomial%20basis%20for%20local%20kernel%20regression%20problem.pdf
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author Silalahi, Divo Dharma
Midi, Habshah
author_facet Silalahi, Divo Dharma
Midi, Habshah
author_sort Silalahi, Divo Dharma
building UPM Institutional Repository
collection Online Access
description A common used as solution for local kernel nonparametric regression problem is given using polynomial regression. In this study, we demonstrated the estimator and properties using maximum likelihood estimator for a non-polynomial basis such B-spline to replacing the polynomial basis. This estimator allows for flexibility in the selection of a bandwidth and a knot. The best estimator was selected by finding an optimal bandwidth and knot through minimizing the famous generalized validation function.
first_indexed 2025-11-15T10:52:18Z
format Conference or Workshop Item
id upm-57323
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T10:52:18Z
publishDate 2016
publisher AIP Publishing
recordtype eprints
repository_type Digital Repository
spelling upm-573232017-09-26T04:04:41Z http://psasir.upm.edu.my/id/eprint/57323/ Considering a non-polynomial basis for local kernel regression problem Silalahi, Divo Dharma Midi, Habshah A common used as solution for local kernel nonparametric regression problem is given using polynomial regression. In this study, we demonstrated the estimator and properties using maximum likelihood estimator for a non-polynomial basis such B-spline to replacing the polynomial basis. This estimator allows for flexibility in the selection of a bandwidth and a knot. The best estimator was selected by finding an optimal bandwidth and knot through minimizing the famous generalized validation function. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57323/1/Considering%20a%20non-polynomial%20basis%20for%20local%20kernel%20regression%20problem.pdf Silalahi, Divo Dharma and Midi, Habshah (2016) Considering a non-polynomial basis for local kernel regression problem. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972168
spellingShingle Silalahi, Divo Dharma
Midi, Habshah
Considering a non-polynomial basis for local kernel regression problem
title Considering a non-polynomial basis for local kernel regression problem
title_full Considering a non-polynomial basis for local kernel regression problem
title_fullStr Considering a non-polynomial basis for local kernel regression problem
title_full_unstemmed Considering a non-polynomial basis for local kernel regression problem
title_short Considering a non-polynomial basis for local kernel regression problem
title_sort considering a non-polynomial basis for local kernel regression problem
url http://psasir.upm.edu.my/id/eprint/57323/
http://psasir.upm.edu.my/id/eprint/57323/
http://psasir.upm.edu.my/id/eprint/57323/1/Considering%20a%20non-polynomial%20basis%20for%20local%20kernel%20regression%20problem.pdf