Applications of Fuss-Catalan numbers to success runs of Bernoulli trials

DOI10.1155/2016/2071582zbMath1426.60008OpenAlexW2263124322WikidataQ59129337 ScholiaQ59129337MaRDI QIDQ1657992

S. R. Mane, Stephen Dilworth

Publication date: 14 August 2018

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/2071582

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (2)

Unnamed Item ⋮ On the Catalan numbers and some of their identities

Cites Work

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• On Ling's binomial and negative binomial distributions of order k
• On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)
• Specific formulae for some success run distributions
• On binomial distributions of order k
• A new class of negative binomial distributions of order k
• Simple expressions for success run distributions in Bernoulli trials
• On a waiting time distribution in a sequence of Bernoulli trials
• Success run waiting times and Fuss-Catalan numbers
• Generalized binomial and negative binomial distributions of order \(k\) by the \(\ell\)-overlapping enumeration scheme
• The Negative Binomial Distribution of Orderk and Some of Its Properties
• A unified approach to binomial-type distributions of order k
• Longest run of consecutive observations having a specified attribute
• Univariate Discrete Distributions
• Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order \(k\)
• Distributions of numbers of success runs of fixed length in Markov dependent trials

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