[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2008.15.5.667

New Family of the t Distributions for Modeling Semicircular Data

Kim, Hyoung-Moon (Department of Applied Statistics, Konkuk University)

Publication Information

Communications for Statistical Applications and Methods / v.15, no.5, 2008 , pp. 667-674 More about this Journal

Abstract

We develop new family of the t distributions for modeling semicircular data. It has convenient mathematical features. It is extended to the l-axial t distribution and a generalized semicircular t distribution.

Keywords

Projection; axial data; heavy tail; transformation;

Citations & Related Records

Reference

1	Arellano-Valle, R. B. and Bolfarine, H. (1995). On some characterizations of the t-distribution, Statistics & Probability Letters, 25, 79-85 DOI ScienceOn
2	Guardiola, J. H. (2004). The Semicircular Normal Distribution, Ph. D. Dissertation. Baylor University, Institute of Statistics
3	Healy, M. J. R. (1968). Multivariate normal plotting, Applied Statistics, 17, 157-161 DOI ScienceOn
4	Jammalamadaka, S. R. and SenGupta, A. (2001). Topics in Circular Statistics, World Scientific Publishing, Singapore
5	Jones, T. A. (1968). Statistical analysis of orientation data, Journal of Sedimentary Research, 38, 61-67
6	Casella, G. and Berger, R. L. (2002). Statistical Inference, Duxbury Press, California
7	Fisher, N. I. (1993). Statistical Analysis of Circular Data, Cambridge University Press, Cambridge
8	Gradshteyn, I. S. and Ryzhik, I. M. (1994). Table of Integrals, Series and Products, (5th ed.) Ed. A. Jeffrey, Academic Press, San Diego
9	Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Dover Publications, New York
10	Mardia, K. V. and Jupp, P. (2000). Directional Statistics, John Wiley & Sons, New York