Abstract
A general theorem on the limiting distribution of the generalizedt-distribution is obtained, many applications of this theorem to some subclasses of elliptically contoured distributions including multivariate normal and multivariatet distributions are discussed. Further, their limiting distributions by density function are derived.
Similar content being viewed by others
References
Cambanis, S., Huang, S. and Simons, G., On the Theory of Elliptically Contoured Distributions,J. Multivariate Analysis,11 (1981), 368–385.
Fan. J, Generalized non-centralt- F- andT-Distributions,J. Graduate School,2 (1984), 134–148 (in Chinese).
Fang K.T., Kotz, S. and K. W. Ng, Symmetric Multivariate and Related Distributions, Chapman and Hall Ltd., 1990.
Fang, K.T. and Zhang Y., Generalized Multivariate Analysis, Science Press and Springer-Verlag, 1990.
Johnson, M.E., Multivariate Statistical Simulation, Wiley, New York, 1987.
Keler, D., Distribution Theory of Spherical Distributions and A Location Scale Parameter Generalization,Sankhya A32 (1970), 419–430.
Kotz, S., Multivariate Distributions of Cross-road.In Statistical Distributions in Scientific Work,I (G.P. Patil, S. Kotz and J. K. Ord eds.), 1975.
Léve, M., Probability Theory (Second Edition), D. Van Nostrand Company, Inc., Princeton, 1960.
Muirhead, R. J., Aspects of Multivariate Statistical Theory, Wiley, New York, 1982.
Author information
Authors and Affiliations
Additional information
This project is supported by the National Natural Science Foundation of China and by Grant DA01070 from U.S. Public Health Service.
Rights and permissions
About this article
Cite this article
Fang, K., Yuan, K. The limiting distributions of some subclasses of the generalized non-centralt-distribution. Acta Mathematicae Applicatae Sinica 9, 71–81 (1993). https://doi.org/10.1007/BF02009634
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02009634