Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 843676, 10 pages
http://dx.doi.org/10.1155/2012/843676
Research Article

Cauchy-Matern Model of Sea Surface Wind Speed at the Lake Worth, Florida

Ming Li,1 S. C. Lim,2 and Wei Zhao3

1School of Information Science & Technology, East China Normal University, Shanghai 200241, China
2Faculty of Engineering, Multimedia University, 63100 Cyberjaya, Selangor, Malaysia
3Department of Computer and Information Science, University of Macau, Avenida Padre Tomas Pereira, Taipa, Macau, China

Received 4 November 2012; Accepted 5 December 2012

Academic Editor: Sheng-yong Chen

Copyright © 2012 Ming Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the Cauchy-Matern (CM) process with long-range dependence (LRD). The closed form of its power spectrum density (PSD) function is given. We apply it to model the autocovariance function (ACF) and the PSD of the sea surface wind speed (wind speed for short) observed in the Lake Worth, Florida, over the 1984–2006 period. The present results exhibit that the wind speed at the Lake Worth over 1984–2006 is of LRD. The present results exhibit that the CM process may yet be a novel model to fit the wind speed there.