Michael Monticino, How to Construct a Random Probability Measure, International Statistical Review / Revue Internationale de Statistique, Vol. 69, No. 1 (Apr., 2001), pp. 153-167 ...

A simple random sample is a subset of a statistical population where each member of the population is equally likely to be chosen.

The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then applied to the theory of branching processes with random ...

Ten random coin flips can result in any of 1024 possibilities, all of which have equal probability.

It begins with questions of pure probability, leading up to the discussion of problems of random migration and kindred topics that are of interest to the modern physicist.