A Note on Embedding Certain Bernoulli Sequences in Marked Poisson Processes

DOI10.1239/JAP/1231340241zbMath1154.60009OpenAlexW2015190479MaRDI QIDQ5504169

Lars Holst

Publication date: 21 January 2009

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

Full work available at URL: https://doi.org/10.1239/jap/1231340241

zbMATH Keywords

random permutationconditional limit theoremrecordBernoulli trialPoisson limitsums of indicators

Mathematics Subject Classification ID

Special processes (60K99) Combinatorial probability (60C05)

Related Items (7)

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 ⋮ Exact distributions of constrained \((k, \ell )\) strings of failures between subsequent successes ⋮ Counting certain binary strings ⋮ A note on records in a random sequence ⋮ On Consecutive Records in Certain Bernoulli Sequences

Cites Work

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• Logarithmic combinatorial structures: A probabilistic approach
• The Number of Two Consecutive Successes in a Hoppe-Pólya Urn
• A study of counts of Bernoulli strings via conditional Poisson processes
• Counts of Failure Strings in Certain Bernoulli Sequences

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