This is a preview. Log in through your library . Abstract The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then ...

This is a preview. Log in through your library . Abstract Gontcharov obtained the joint probability generating function for the numbers of runs of all lengths, both of successes and failures, in a ...

As is well known, the normal distribution is a key tool in probability and statistics. It can be described as a distribution that obeys a universal rule derived from one of the most important theorems ...