In this paper we carry out analysis and geometry for a class of infinite dimensional manifolds, namely, compound configuration spaces as a natural generalization of the work [AKR98a]. More precisely a differential geometry is constructed on the compound configuration space ΩX over a Riemannian manifold X. This geometry is obtained as a natural lifting of the Riemannian structure on X. In partic...

The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. In this note, we give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood. Most of the properties given are hitherto unknown.

This paper presents a method for the evaluation of the compound Generalized Poisson distribution, based on the recursive evaluation of two other distributions.

Consider the sequences fX i g m i=1 and fY i g n j=1 of independent random variables , which take values in a nite alphabet, and assume that the variables X 1 ; X 2 ; : : : and Y 1 ; Y 2 ; : : : follow the distributions and , respectively. Two variables X i and Y j are said to match if X i = Y j. Let the number of matching subsequences of length k between the two sequences, when r, 0 r < k, mis...