Estimation of covariance with functional data

Lee, Sik-Yum and Zhang, Wenyang and Song, Xin-Yuan (2002) Estimation of covariance with functional data. British Journal of Mathematical and Statistical Psychology, 55 (2). pp. 247-261. ISSN 0007-1102. (The full text of this publication is not available from this repository)

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This paper describes a two-step procedure for estimating the covariance function and its eigenvalues and eigenfunctions in situations where the data are curves or functions, The first step produces initial estimates of eigenfunctions using a standard principal components analysis. At the second step, these initial estimates are smoothed via local polynomial fitting, with the bandwidth in the kernel function being selected by a data-driven procedure. The results of a simulation study and three real examples are presented to illustrate the performance of the proposed methodology.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Judith Broom
Date Deposited: 03 Oct 2008 16:53
Last Modified: 25 Apr 2014 12:06
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