caa a22 4500 46575189X CHVBK 20180323111836.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02241658 doi (NATIONALLICENCE)springer-10.1007/BF02241658 Yet another application of a binomial recurrence order statistics [Elektronische Daten] [W. Szpankowski, V. Rego] Eine weitere Anwendung binomischer Rekurrenz. Orderstatistik We investigate the moments of the maximum of a set of i.i.d geometric random variables. Computationally, the exact formula for the moments (which does not seem to be available in the literature) is inhibited by the presence of an alternating sum. A recursive expression for the moments is shown to be superior. However, the recursion can be both computationally intensive as well as subject to large round-off error when the set of random variables is large, due to the presence of factorial terms. To get around this difficulty we develop accurate asymptotic expressions for the moments and verify our results numerically. Springer-Verlag, 1990 geometric distribution nationallicence order statistics nationallicence binomial recurrence nationallicence asymptotic approximation nationallicence program unification nationallicence concurrency enhancement nationallicence Szpankowski W. Department of Computer Sciences, Purdue University, 47906, West Lafayette, IN, USA aut Rego V. Department of Computer Sciences, Purdue University, 47906, West Lafayette, IN, USA aut Computing Springer-Verlag 43/4(1990-12-01), 401-410 0010-485X 43:4<401 1990 43 607 https://doi.org/10.1007/BF02241658 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02241658 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Szpankowski W. Department of Computer Sciences, Purdue University, 47906, West Lafayette, IN, USA aut NATIONALLICENCE 700 1- Rego V. Department of Computer Sciences, Purdue University, 47906, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- Computing Springer-Verlag 43/4(1990-12-01), 401-410 0010-485X 43:4<401 1990 43 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer