A class of random processes with invariant sample paths, that is, processes which yield (with probability one) probability distributions that are invariant under a given transformation group of interest, are introduced and their properties are studied. These processes, named Dirichlet Invariant...

Motivated by poor performance of standard estimation methods in our application, the problem of modeling the diffusion of a new service (or a product) is considered without the assumption of a homogeneous population. The model consists of a two-stage procedure where customers receive purchase...

We consider approximations for the moments of a well known birth process commonly used in a variety of applications involving diffusion of new products and services. This process also has applications in Epidemiology and Social Sciences. The available approximation for the mean function involves...

Patterns of customer purchases are often modeled as discrete behavioral events following some probability law. These stochastic models have been applied separately to the phenomena of product class purchase incidence and brand choice (conditional on the products being purchased). Most of these...