Combinatorics of geometrically distributed random variables: run statistics
For words of length n, generated by independent geometric random variables, we consider the mean and variance, and thereafter the distribution of the number of runs of equal letters in the words. In addition, we consider the mean length of a run as well as the length of the longest run over all words of length n. (C) 2002 Elsevier Science B.V. All rights reserved.
runs geometric random variables generating function limiting distribution quasi-power theorem