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Further bivariate distributions associated with LAGRANGE expansion

✍ Scribed by Churchill, K. E. ;Jain, G. C.

Publisher: Wiley (John Wiley & Sons)
Year: 1976
Weight: 515 KB
Volume: 18
Category: Article
ISSN: 0006-3452
DOI: 10.1002/bimj.19760180807

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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