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The Correlated Bivariate Inverted Beta Distribution
Author(s) -
Lee P. A.
Publication year - 1981
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710230709
Subject(s) - bivariate analysis , joint probability distribution , mathematics , cumulative distribution function , statistics , gamma distribution , generalized gamma distribution , beta distribution , beta (programming language) , multivariate normal distribution , distribution (mathematics) , probability density function , statistical physics , multivariate statistics , mathematical analysis , physics , computer science , programming language
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.