The first descent in samples of geometric random variables and permutations
Arnold Knopfmacher (1), Helmut Prodinger (2) (3)
(1) The John Knopfmacher Centre for Applicable Analysis and Number Theory [Johannesburg]
(2) Department of Mathematical Sciences [Matieland, Stellenbosch Uni.]
(3) Department of Mathematical Sciences [Stellenbosch University]
Abstract
For words of length n, generated by independent geometric random variables, we study the average initial and end heights of the first descent in the word. In addition we compute the average initial and end height of the first descent for a random permutation of n letters.
