Modified ridge type estimator in partially linear regression models and numerical comparisons

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

American Scientific Publishers

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this article, we introduce a modified ridge type estimator for the vector of parameters in a partially linear model. This estimator is a generalization of the well-known Speckman's approach and is based on smoothing splines method. Most important in the implementation of this method is the choice of the smoothing parameter. Many Criteria of selecting smoothing parameters such as improved version of Akaike information criterion (AICc), generalized cross-validation (GCV), crossvalidation (CV), Mallows' Cp criterion, risk estimation using classical pilots (REC) and Bayes information criterion (BIC) are developed in literature. In order to illustrate the ideas in the paper, a real data example and a Monte Carlo simulation study are carried out. Thus, the appropriate selection criteria are provided for a suitable smoothing parameter selection. © Copyright 2016 American Scientific Publishers All rights reserved.

Açıklama

Anahtar Kelimeler

Cross-validation, Generalized cross-validation, Partially linear model, Ridge type estimator, Smoothing parameter, Smoothing splines

Kaynak

Journal of Computational and Theoretical Nanoscience

WoS Q Değeri

Scopus Q Değeri

Q4

Cilt

13

Sayı

10

Künye