Consecutive records in geometrically distributed words

DOI10.1007/s13370-011-0027-9zbMath1263.60006OpenAlexW2166427378MaRDI QIDQ1945310

Kamilla Oliver, Prodinger, Helmut

Publication date: 8 April 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-011-0027-9

zbMATH Keywords

asymptotics\(q\)-seriesalternating sumRice's methodHeine's transformation

Mathematics Subject Classification ID

Combinatorial probability (60C05) Asymptotic enumeration (05A16)

Cites Work

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• Mellin transforms and asymptotics: Finite differences and Rice's integrals
• The average position of the \(d\)th maximum in a sample of geometric random variables
• Asymptotic behavior of permutation records
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• Yet another application of a binomial recurrence. Order statistics
• A result in order statistics related to probabilistic counting
• Combinatorics of geometrically distributed random variables: Left-to-right maxima
• Generalized approximate counting revisited
• Moments of a class of discrete \(q\)-distributions
• Approximate counting : an alternative approach
• Records in geometrically distributed words: Sum of positions

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