Estimation in the Partially Nonlinear Model by Continuous Optimization

dc.authorscopusid 36015912400
dc.authorscopusid 23974021700
dc.authorscopusid 27968083600
dc.contributor.author Yerlikaya-Ozkurt, Fatma
dc.contributor.author Taylan, Pakize
dc.contributor.author Tez, Mujgan
dc.contributor.other Industrial Engineering
dc.date.accessioned 2024-07-05T15:19:27Z
dc.date.available 2024-07-05T15:19:27Z
dc.date.issued 2021
dc.department Atılım University en_US
dc.department-temp [Yerlikaya-Ozkurt, Fatma] Atilim Univ, Dept Ind Engn, Ankara, Turkey; [Taylan, Pakize] Dicle Univ, Dept Math, Diyarbakir, Turkey; [Tez, Mujgan] Marmara Univ, Dept Stat, Istanbul, Turkey en_US
dc.description.abstract A useful model for data analysis is the partially nonlinear model where response variable is represented as the sum of a nonparametric and a parametric component. In this study, we propose a new procedure for estimating the parameters in the partially nonlinear models. Therefore, we consider penalized profile nonlinear least square problem where nonparametric components are expressed as a B-spline basis function, and then estimation problem is expressed in terms of conic quadratic programming which is a continuous optimization problem and solved interior point method. An application study is conducted to evaluate the performance of the proposed method by considering some well-known performance measures. The results are compared against parametric nonlinear model. en_US
dc.identifier.citationcount 1
dc.identifier.doi 10.1080/02664763.2020.1864816
dc.identifier.endpage 2846 en_US
dc.identifier.issn 0266-4763
dc.identifier.issn 1360-0532
dc.identifier.issue 13-15 en_US
dc.identifier.pmid 35707065
dc.identifier.scopus 2-s2.0-85098011447
dc.identifier.startpage 2826 en_US
dc.identifier.uri https://doi.org/10.1080/02664763.2020.1864816
dc.identifier.uri https://hdl.handle.net/20.500.14411/1954
dc.identifier.volume 48 en_US
dc.identifier.wos WOS:000601344400001
dc.identifier.wosquality Q2
dc.institutionauthor Yerlikaya Özkurt, Fatma
dc.language.iso en en_US
dc.publisher Taylor & Francis Ltd en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 2
dc.subject Nonlinear model en_US
dc.subject nonparametric regression en_US
dc.subject estimation en_US
dc.subject B-spline en_US
dc.subject continuous optimization en_US
dc.title Estimation in the Partially Nonlinear Model by Continuous Optimization en_US
dc.type Article en_US
dc.wos.citedbyCount 2
dspace.entity.type Publication
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relation.isOrgUnitOfPublication.latestForDiscovery 12c9377e-b7fe-4600-8326-f3613a05653d

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