Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

THE UNIFORM MIXTURE OF GENERALIZED ARC-SINE DISTRIBUTIONS

  • JONES M.C. (Department of Statistics, The Open University, Walton Hall)
  • Published : 2005.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

A single, tractable, special case of the problem of continuous mixtures of beta distributions over their parameters is considered. This is the uniform mixture of generalized arc-sine distributions which, curiously, turns out to be linked by transformation to the Cauchy distribution.

Keywords

References

  1. BERTIN, E. M. J., CUCULESCU, I. AND THEODORESCU, R. (1997). Unimodality of Probability Measures, Dordrecht: Kluwer
  2. CACOULLOS, T. (1965). 'A relation between t and F distributions', Journal of the American Statistical Association, 60, 528-531, Corrigenda, 60, 1249 https://doi.org/10.2307/2282687
  3. CHEN, S. X. (1999). 'Beta kernel estimators for density functions', Computational Statistics and Data Analysis, 31,131-145 https://doi.org/10.1016/S0167-9473(99)00010-9
  4. JOHNSON, N. L. (1949). 'Systems of frequency curves generated by methods of translation', Biometrika, 36, 149-176
  5. TADIKAMALLA, P. K. AND JOHNSON, N. L. (1982). 'Systems of frequency curves generated by transformations of logistic variables', Biometrika, 69, 461-465 https://doi.org/10.1093/biomet/69.2.461