Tunable Approximations for the Mean and Variance of the Maximum of Heterogeneous Geometrically Distributed Random Variables

Analysis of the maximum of n independent geometrically distributed random variables arises in a variety of applications in computer science and engineering. Evaluating the mean and variance of the maximum when n is large presents considerable computational challenges. Although approximate formulas h...

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Veröffentlicht in:	The American statistician 2004-11, Vol.58 (4), p.322-327
Hauptverfasser:	Jeske, Daniel R, Blessinger, Todd
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications Approximation Broadcasting industry Computational statistics Distribution theory Exact sciences and technology Expected value Expected values Extreme value Geometric probability. Stochastic geometry. Random sets Mathematical moments Mathematics Negative binomial Probabilities Probability and statistics Probability theory and stochastic processes Random variables Reliability, life testing, quality control Sciences and techniques of general use Statistical Computing and Graphics Statistical variance Statistics Sufficient conditions System throughput Transmitters
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