ABSTRACT

A chapter in Probability Theory deals with the decomposability of probability distributions. A relevant topic is constituted by infinitely decomposable (or divisible) distributions, introduced by de Finetti (1929) in order to characterize the class of the limit distributions in the general central limit problem. And is well known the property of some important types of distributions, as the normal the Poisson and the binomial ones, to be closed under decomposition.