Profile-kernel likelihood inference with diverging number of parameters

Lam, Clifford ORCID: 0000-0001-8972-9129 and Fan, Jianqing (2008) Profile-kernel likelihood inference with diverging number of parameters. Annals of Statistics, 36 (5). pp. 2232-2260. ISSN 0090-5364

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Abstract

The generalized varying coefficient partially linear model with growing number of predictors arises in many contemporary scientific endeavor. In this paper we set foot on both theoretical and practical sides of profile likelihood estimation and inference. When the number of parameters grows with sample size, the existence and asymptotic normality of the profile likelihood estimator are established under some regularity conditions. Profile likelihood ratio inference for the growing number of parameters is proposed and Wilk’s phenomenon is demonstrated. A new algorithm, called the accelerated profile-kernel algorithm, for computing profile-kernel estimator is proposed and investigated. Simulation studies show that the resulting estimates are as efficient as the fully iterative profile-kernel estimates. For moderate sample sizes, our proposed procedure saves much computational time over the fully iterative profile-kern one and gives stabler estimates. A set of real data is analyzed using our proposed algorithm.

Item Type:	Article
Official URL:	http://imstat.org/aos/
Additional Information:	© 2008 Institute of Mathematical Statistics
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	21 Jan 2011 14:23
Last Modified:	11 Dec 2024 23:22
URI:	http://eprints.lse.ac.uk/id/eprint/31548

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