On success runs of a fixed length in Bernoulli sequences: exact and asymptotic results

DOI10.1016/J.CAMWA.2010.12.023zbMath1217.60010OpenAlexW2090770461MaRDI QIDQ552212

Frosso S. Makri, Zaharias M. Psillakis

Publication date: 21 July 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.023

zbMATH Keywords

waiting timelimiting distributionBernoulli trialsexact distributionrunsexchangeable trials

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (9)

Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials ⋮ The distributions of sum, minima and maxima of generalized geometric random variables ⋮ Distribution of patterns of constrained length in binary sequences ⋮ On distributions of runs in the compound binomial risk model ⋮ On the mean and extreme distances between failures in Markovian binary sequences ⋮ Counting certain binary strings ⋮ Discrete time cold standby repairable system: Combinatorial analysis

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