The first descent in samples of geometric random variables and permutationsArticle
Authors: Arnold Knopfmacher 1; Helmut Prodinger 2
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Arnold Knopfmacher;Helmut Prodinger
1 The John Knopfmacher Centre for Applicable Analysis and Number Theory [Johannesburg]
2 Department of Mathematical Sciences [Matieland, Stellenbosch Uni.]
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.
Keywords: descents,geometric random variables,permutations,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Bibliographic References
1 Document citing this article
Margaret Archibald;Aubrey Blecher;Charlotte Brennan;Arnold Knopfmacher, 2015, Descents following maximal values in samples of geometric random variables, Statistics & Probability Letters, 97, pp. 229-240, 10.1016/j.spl.2014.11.023.