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The canonical decomposition of bivariate distributions

โœ Scribed by P.L Chesson


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
554 KB
Volume
6
Category
Article
ISSN
0047-259X

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## For the following mixed bivariate probability distribution between a discrete random variable X and a continuous random variable A: h(x, A) = (Pq)"p"A"-' exp {-A(@ +p)}LF'(-Aqq )/IYcw), where a, p>o, O<p=l-q<l, x=0,1,2 ,..., O<A<y and 21: h(x, A)dA = 1, a canonical expansion is obtained in term

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A unified treatment is given for mixtures of bivariate binomial distributions with respect to their index parameter(s). The use of probability generating functions is employed and a number of interesting properties including probabilities, factorial moments, factorial cumulants and conditional distr