\(g\)-geometric and \(g\)-binomial distributions of order image

DOI10.1016/J.CAM.2014.03.025zbMath1327.60043OpenAlexW2048647244MaRDI QIDQ2517481

Femin Yalcin, Serkan N. Eryılmaz

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.025

zbMATH Keywords

runs\(q\)-distributionsdistributions of order \(k\)

Mathematics Subject Classification ID

Probability distributions: general theory (60E05)

Related Items (10)

On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence ⋮ On runs of ones defined on a \(q\)-sequence of binary trials ⋮ On monotonicity of expected values of some run-related distributions ⋮ Binomial distribution of order \(k\) in a modified binary sequence ⋮ On success runs in a sequence of dependent trials with a change point ⋮ Distributions of \((k_1,k_2,\dots ,k_m)\)-runs with multi-state trials ⋮ A compound negative binomial distribution with mutative termination conditions based on a change point ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ Unnamed Item ⋮ Length of the minimum sequence containing repeats of success runs

Cites Work

• Unnamed Item
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• Counting certain binary strings
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• Estimation of parameters in the discrete distributions of order k
• Specific formulae for some success run distributions
• The \(q\)-Bernstein basis as a \(q\)-binomial distribution
• A generalized geometric distribution and some of its properties
• Probability distribution functions of succession quotas in the case of Markov dependent trials
• Non-parametric randomness tests based on success runs of fixed length
• \(q\)-Bernstein polynomials and Bézier curves
• Success runs of length \(k\) in Markov dependent trials
• On Occurrences of F-S Strings in Linearly and Circularly Ordered Binary Sequences
• Lengths of runs and waiting time distributions by using Pólya-Eggenberger sampling scheme
• Success run statistics defined on an urn model
• Estimation of Parameters in a Transient Markov Chain Arising in a Reliability Growth Model
• Successes, runs and longest runs

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