论文信息 - Statistics for a New Test of Discordance in Circular Data

Statistics for a New Test of Discordance in Circular Data

This article considers the derivation of approximate distributions for two types of statistics that can be used in developing new tests of discordance in circular samples from the von Mises distribution. An alternative test of discordance is proposed based on the circular distance between sample points. The advantage of the test is that it allows users to detect possible outliers in both univariate and bivariate circular data. For illustration, the test is applied to two real circular data sets.

[1] L. Wyatt,et al. A linear functional relationship model for circular data with an application to the assessment of ocean wave measurements , 2003 .

[2] Ali Esmaili,et al. Probability and Random Processes , 2005, Technometrics.

[3] K. Mardia. Statistics of Directional Data , 1972 .

[4] D E Ferguson,et al. Sun compass orientation of the northern cricket frog, Acris crepitans. , 1967, Animal behaviour.

[5] Ronald Ranvaud,et al. Analysis of Circular Longitudinal Data Based on Generalized Estimating Equations , 2000 .

[6] I. B. Mohamed,et al. A New Test of Discordancy in Circular Data , 2009, Commun. Stat. Simul. Comput..

[7] D. Collett,et al. Outliers in Circular Data , 1980 .

[8] Alan J. Lee,et al. Regression Models for an Angular Response , 1992 .

[9] Irwin Guttman,et al. Spuriosity and outliers in directional data , 1990 .

[10] S. R. Jammalamadaka,et al. Topics in Circular Statistics , 2001 .

[11] Grace S. Shieh,et al. A CIRCULAR-CIRCULAR REGRESSION MODEL , 2008 .