Estimation in the partially nonlinear model by continuous optimization

Yükleniyor...
Küçük Resim

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor and Francis Ltd.

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

B-spline, Continuous optimization, Estimation, Nonlinear model, Nonparametric regression

Kaynak

Journal of Applied Statistics

WoS Q Değeri

Q3

Scopus Q Değeri

Q1

Cilt

48

Sayı

13-15

Künye

Özkurt, F. Y., Taylan, P. ve Tez, M. (2021). Estimation in the partially nonlinear model by continuous optimization. Journal of Applied Statistics, 48(13-15), 2826-2846.