Moments and Identities Involving Inverted Wishart Distribution

Author:

Latif Raja Mohammad1,Joarder Anwar H.2

Affiliation:

1. Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664 Al Khobar, KINGDOM OF SAUDI ARABIA

2. Faculty of Science and Engineering, Northern University of Business and Technology Khulna, BANGLADESH

Abstract

Moments of multivariate Wishart Distribution are known up to fourth order. But in many contexts, moments of some functions of Wishart distribution and Inverted Wishart Distribution have been found useful in risk theoretic estimation of covariance matrix and its characteristics. In this paper we review moments of some important functions of Wishart and Inverted Distributions.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference16 articles.

1. Anderson, T.W. (2003). An Introduction to Multivariate Statistical Analysis. John Wiley and Sons. New York.

2. de Wal and Nel, D.J. (1973). On some expectations with respect to Wishart matrices. outh African Statistics Journal, 7, 61-67.

3. Fisher, R.A. (1915). Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population. Biometrika, 10, 507-521.

4. Ghosh, B.K. (1966). Asymptotic expansions for the moments of the distribution of correlation coefficient. Biometrika, 53, 258-262.

5. Gupta, A.K. and Nagar, D.K. (2000). Matrix Variate Distributions. Chapman and Hall, New York.

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