A note on records in a random sequence

DOI10.1007/S11512-010-0131-3zbMath1254.60017OpenAlexW2010774229MaRDI QIDQ691158

Lars Holst

Publication date: 29 November 2012

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-010-0131-3

zbMATH Keywords

marked Poisson processstrings of two subsequent records

Mathematics Subject Classification ID

Combinatorial probability (60C05) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Joint Distributions of Counts of Strings in Finite Bernoulli Sequences ⋮ 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 ⋮ Non-Markovian random walks with memory lapses ⋮ Counting certain binary strings

Cites Work

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• Poisson process approximations for the Ewens sampling formula
• Logarithmic combinatorial structures: A probabilistic approach
• On sums of products of Bernoulli variables and random permutations
• On Consecutive Records in Certain Bernoulli Sequences
• The Number of Two Consecutive Successes in a Hoppe-Pólya Urn
• A study of counts of Bernoulli strings via conditional Poisson processes
• Distribution of the number of consecutive records
• Limit distribution of the number of consecutive records
• Counts of Failure Strings in Certain Bernoulli Sequences
• A Note on Embedding Certain Bernoulli Sequences in Marked Poisson Processes

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