International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 8  (August 2017), Pages:  167-174

Title: Smoothing parameter selection in semiparametric regression models with censored data

Author(s):  Dursun Aydin *, Ersin Yilmaz

Affiliation(s):

Department of Statistics, Mugla Sitki Kocman University, Mugla, Turkey

https://doi.org/10.21833/ijaas.2017.08.024

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Abstract:

In this paper, we introduce penalized spline estimators for the unknown function and a parameter vector in a semiparametric regression model with right censored data. In order to obtain this estimator accurately and efficiently, we used penalized spline method based on three important selection criteria such as corrected Akaike’s information criterion (AIC), generalized cross-validation (GCV) and Mallows’ Cp criterion (MCp). The purpose of the study is to illustrate the performance of penalized regression spline method for estimating the right-censored data and also comparing the mentioned three selection methods in selection of smoothing parameter. The ideas that expressed in this study are demonstrated in a real cancer patients’ data and a Monte Carlo simulation using different censoring levels and sample sizes. Thus, the appropriate selection criteria are provided for a suitable smoothing parameter selection. Cp gave satisfying results for this study. 

© 2017 The Authors. Published by IASE.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Right-censored data, Semi-parametric regression, Penalized spline, Kaplan-meier estimation

Article History: Received 2 May 2017, Received in revised form 21 July 2017, Accepted 26 July 2017

Digital Object Identifier: 

https://doi.org/10.21833/ijaas.2017.08.024

Citation:

Aydin D and Yilmaz E (2017). Smoothing parameter selection in semiparametric regression models with censored data. International Journal of Advanced and Applied Sciences, 4(8): 167-174

http://www.science-gate.com/IJAAS/V4I8/Aydin.html

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