Abstract
In this note we derive some useful expectations of some functions of the Wishart matrix based on the multivariatet-model. The results are generalizations of similar expectations of the usual Wishart matrix. Some applications are outlined.
Similar content being viewed by others
References
Anderson, T.W. (1958). An Introduction to Multivariate Statistical Analysis, 1st edn. Wiley, New York.
Joarder, A.H. (1992). Estimation of the scale matrix of a multivariatet-model. Unpublished Ph.D. dissertation, University of Western Ontario, London, Canada.
Joarder, A.H. and Ali, M.M. (1992). On some generalized Wishart expectations. Commun. Statist.—Theor. Meth., 21, 283–294.
Joarder, A.H. and Ahmed, S.E. (1996). Estimation of the characteristic roots of the scale matrix. To appear in Metrika.
Kelejian, H.H. and Prucha, I.R. (1985). Independent or uncorrelated disturbances in linear regression: An illustration of the difference. Economic Letters, 19, 35–38.
Lange, K.L., Little, R.J.A. and Taylor, J.M.G. (1989). Robust statistical modelling using thet distribution. J. Amer. Statist. Assoc., 84, 881–896.
Osiewalski, J. and Steel, M.F.J. (1993). Robust Bayesian inference in elliptical regression models. J. Econometrics, 57, 345–363.
Sutradhar, B.C. and Ali, M.M. (1989). A generalization of the Wishart distribution for elliptical model and its moments for the multivariatet model. J. Mult. Anal., 29, 155–162.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Joarder, A.H. Some useful Wishart expectations based on the multivariatet-model. Statistical Papers 39, 223–229 (1998). https://doi.org/10.1007/BF02925409
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02925409