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Decomposition of the Multivariate Beta Distribution with Applications

Published online by Cambridge University Press:  20 November 2018

D. G. Kabe  and
R. P. Gupta
D. G. Kabe
Affiliation:
St. Mary's University, Halifax, Nova Scotia
R. P. Gupta
Affiliation:
Dalhousie University, Halifax, Nova Scotia
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Summary

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Let L be a positive definite symmetric matrix having a noncentral multivariate beta density of an arbitrary rank, see, e.g. Hayakawa ([2, p. 12, Equation 38]). Then an explicit procedure is given for decomposing the density of L in terms of densities of independent beta variates.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 15 , Issue 2 , June 1972 , pp. 225 - 228
Copyright
Copyright © Canadian Mathematical Society 1972

References

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