Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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New Family of the t Distributions for Modeling Semicircular Data

  • Published : 2008.09.30
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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.

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References

  1. Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Dover Publications, New York
  2. Arellano-Valle, R. B. and Bolfarine, H. (1995). On some characterizations of the t-distribution, Statistics & Probability Letters, 25, 79-85 https://doi.org/10.1016/0167-7152(94)00208-P
  3. Casella, G. and Berger, R. L. (2002). Statistical Inference, Duxbury Press, California
  4. Fisher, N. I. (1993). Statistical Analysis of Circular Data, Cambridge University Press, Cambridge
  5. Gradshteyn, I. S. and Ryzhik, I. M. (1994). Table of Integrals, Series and Products, (5th ed.) Ed. A. Jeffrey, Academic Press, San Diego
  6. Guardiola, J. H. (2004). The Semicircular Normal Distribution, Ph. D. Dissertation. Baylor University, Institute of Statistics
  7. Healy, M. J. R. (1968). Multivariate normal plotting, Applied Statistics, 17, 157-161 https://doi.org/10.2307/2985678
  8. Jammalamadaka, S. R. and SenGupta, A. (2001). Topics in Circular Statistics, World Scientific Publishing, Singapore
  9. Jones, T. A. (1968). Statistical analysis of orientation data, Journal of Sedimentary Research, 38, 61-67
  10. Mardia, K. V. and Jupp, P. (2000). Directional Statistics, John Wiley & Sons, New York