On sums of products of Bernoulli variables and random permutations

DOI10.1023/B:JOTP.0000020485.34082.8CzbMath1054.60013OpenAlexW2020858623MaRDI QIDQ1827473

Paul Popadiuk, Éric Marchand, Anatole Joffe, François Perron

Publication date: 6 August 2004

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jotp.0000020485.34082.8c

zbMATH Keywords

Poisson distributionBernoulli random variablesrandom permutationsmatching type problem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Related Items (11)

Joint Distributions of Counts of Strings in Finite Bernoulli Sequences ⋮ Connections Between Bernoulli Strings and Random Permutations ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Counts of Bernoulli success strings in a multivariate framework ⋮ Exact distributions of constrained \((k, \ell )\) strings of failures between subsequent successes ⋮ The Number of Two Consecutive Successes in a Hoppe-Pólya Urn ⋮ A note on records in a random sequence ⋮ On the number of runs for Bernoulli arrays ⋮ Counts of Failure Strings in Certain Bernoulli Sequences ⋮ Selecting the last consecutive record in a record process ⋮ A study of counts of Bernoulli strings via conditional Poisson processes

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