Counts of Bernoulli success strings in a multivariate framework

DOI10.1016/J.SPL.2016.07.009zbMath1375.60030OpenAlexW2479498571MaRDI QIDQ333988

François Perron, Éric Marchand, Djilali Ait Aoudia

Publication date: 31 October 2016

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2016.07.009

zbMATH Keywords

Poisson distributionarraysrunsbinomial momentsDirichletPoisson mixtures

Mathematics Subject Classification ID

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

Related Items (1)

Multivariate discrete distributions via sums and shares

Uses Software

• DLMF

Cites Work

• Discrete Schur-constant models
• On runs, bivariate Poisson mixtures and distributions that arise in Bernoulli arrays
• Poisson process approximations for the Ewens sampling formula
• On sums of products of Bernoulli variables and random permutations
• Joint Distributions of Counts of Strings in Finite Bernoulli Sequences
• The Number of Two Consecutive Successes in a Hoppe-Pólya Urn
• On the number of runs for Bernoulli arrays
• A study of counts of Bernoulli strings via conditional Poisson processes
• Distribution of the number of consecutive records
• Counts of Failure Strings in Certain Bernoulli Sequences
• A problem of the Allocation of Particles in Cells and Cycles of Random Permutations
• On a Simple Construction of a Bivariate Probability Function With a Common Marginal
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