A characterization of gamma, Meixner hypergeometric and negative binomial distributions based on canonical measures

Canonical Expansion of a Mixed Bivariate

Canonical Expansion of a Mixed Bivariate Distribution with Negative Binomial and Gamma Marginals

✍ P.A. Lee 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 441 KB

## 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