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The Correlated Bivariate Inverted Beta Distribution

✍ Scribed by Prof. P. A. Lee

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
425 KB
Volume
23
Category
Article
ISSN
0323-3847

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✦ Synopsis

Abstract

The correlated bivariate inverted beta distribution is constructed from the bivariate mixture of two independent gamma random variables whose scale parameters follow Kibble's correlated gamma distribution. Explicit expressions have been derived for the form of the joint probability density function, the joint cumulative distributive function and other statistical properties of interest. These results confirm and extend some of the conjectures of HUTCHINSON in connection with generalizations of probabilistic models of severity distribution arising from injuries sustained in two‐vehicle head on collison.

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