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On Some Characteristics of the Joint Distribution of Sample Variances


M. Hafidz Omar, Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia  and

Anwar H. Joarder, Department of Computer Science and Engineering, Faculty of Science and Engineering, Northern University of Business and Technology Khulna, Khulna-9100, Bangladesh

The joint distribution of correlated sample variances and their product moments have been derived. Finite expressions have been derived for product moments of sample variances of integer orders. Marginal and conditional distributions, conditional moments, coefficient of skewness and kurtosis of conditional distribution of a sample variance given the other variance have also been discussed. Shannon entropy of the distribution is also derived. When the variables are uncorrelated, the resulting characteristics match with the independent case of sample variances.

Keywords: Joint Distribution of Sample Variances; Bivariate Distribution; Bivariate Normal Distribution, Correlated Chi-Square Variables; Product Moments

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How to Cite

MLA 9th Edition

Omar, M. Hafidz, and Anwar H. Joarder. “On Some Characteristics of the Joint Distribution of Sample Variances.” BL COLLEGE JOURNAL, vol. 4, no. 1, July 2022, pp. 126–39.

APA 7th Edition

Omar, M. H., & Joarder, A. H. (2022). On Some Characteristics of the Joint Distribution of Sample Variances. BL COLLEGE JOURNAL4(1), 126–139.


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