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Exploring reproducing kernel hilbert space and its application to survival data.

Abdul Manaf, Nur'azah and Ibragimov, Gafurjan and Abu Bakar , Mohd Rizam and Aljawadi, Bader (2011) Exploring reproducing kernel hilbert space and its application to survival data. Australian Journal of Basic and Applied Sciences, 5 (11). pp. 1268-1274. ISSN 1991-8178

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Abstract

In this paper, we will construct a kernel K(x,y) and verify that it is a reproducing kernel in Hilbert space (RKHS). The basic facts and important properties of an RKHS will be reviewed. Diagonal matrices will be used in the construction of the reproducing kernel. We will construct a reproducing kernel and extend the kernel Cox regression model for the survival data of HIV patients by estimating the risk or loss function. The results from analysis indicate that the kernel method is efficient and helpful in predicting the risk or survival of patients.

Item Type:Article
Keyword:Positive definite kernel; Reproducing kernel Hilbert space; Cox regression model.
Faculty or Institute:Institute for Mathematical Research
Publisher:American-Eurasian Network for Scientific Information
ID Code:25156
Deposited By: Nur Farahin Ramli
Deposited On:19 May 2014 16:55
Last Modified:29 Sep 2015 11:59

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