A Likelihood Ratio Test for Homogeneity in Circular Data
- *Corresponding Author:
- Fernandez-Duran JJ
Department of Statistics
División Académica de Actuaría, Estadística y Matemáticas
Instituto Tecnológico Autónomo de México, Rio Hondo No. 1
Col. Progreso Tizapan, C.P.01080, México D.F., México
Tel: (5255) 56 28 38 39
Fax: (5255) 56 28 40 86
E-mail: [email protected]
Received Date: October 14, 2010; Accepted Date: November 22, 2010; Published Date: November 24, 2010
Citation: Fernandez-Duran JJ, Gregorio-Dominguez MM (2010) A Likelihood Ratio Test for Homogeneity in Circular Data. J Biomet Biostat 1:107. doi:10.4172/2155-6180.1000107
Copyright: © 2010 Fernandez-Duran JJ, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Testing for the homogeneity of density functions of circular random variables is useful in many settings including the study of wind patterns, paleocurrents trends, the seasonality in human-related events such as homicides and suicides and the seasonality in the appearance of diseases. In this paper, we considered that the density functions are members of the flexible family of circular distributions based on nonnegative trigonometric (Fourier) sums (series) developed by Fernandez-Duran . We constructed a test based on the likelihood ratio and we applied the proposed test to simulated and real datasets.