The Maximum of Independent Geometric Random Variables as the Time for Genomic Evolution

DOI10.1080/15326349.2014.868742zbMath1303.60041OpenAlexW2085445768MaRDI QIDQ5413857

Aristides V. Doumas, Vassilis G. Papanicolaou

Publication date: 2 May 2014

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349.2014.868742

zbMATH Keywords

maximumGumbel distributionmutationslimit distributionmoment asymptoticsindependent geometric random variablescoupon collector's problem (CCP)genomic word

Mathematics Subject Classification ID

Problems related to evolution (92D15) Extreme value theory; extremal stochastic processes (60G70) Limit theorems in probability theory (60F99)

Cites Work

• Asymptotics of the rising moments for the coupon collector's problem
• Yet another application of a binomial recurrence. Order statistics
• General asymptotic estimates for the coupon collector problem
• On the expectation of the maximum of IID geometric random variables
• The Coupon Collector's Problem Revisited: Asymptotics of the Variance
• Laws of Small Numbers: Extremes and Rare Events
• There’s plenty of time for evolution
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