Runs on a circle

DOI10.2307/3215295zbMath0824.60071OpenAlexW2326442313MaRDI QIDQ4842815

George K. Papadopoulos, Markos V. Koutras, Stavros G. Papastavridis

Publication date: 10 September 1995

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

Full work available at URL: https://doi.org/10.2307/3215295

zbMATH Keywords

Markov chainsBernoulli trialsChen-Stein methodPoisson convergencecircular success runsbinomial distributions of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Approximations to statistical distributions (nonasymptotic) (62E17) Limit theorems in probability theory (60F99)

Related Items (19)

Criteria for Poisson process convergence with applications to inhomogeneous Poisson-Voronoi tessellations ⋮ Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Compound geometric distribution of order \(k\) ⋮ On a waiting time distribution in a sequence of Bernoulli trials ⋮ Circular consecutive \(k\)-out-of-\(n\) systems with exchangeable dependent components ⋮ Markov binomial distribution of order \(k\) and its applications ⋮ Bivariate Fibonacci polynomials of order \(k\) with statistical applications ⋮ Distributions associated with \((k_1,k_2)\) events on semi-Markov binary trials ⋮ Approximations for discrete scan statistics on the circle ⋮ Shortest and longest length of success runs in binary sequences ⋮ On Occurrences of F-S Strings in Linearly and Circularly Ordered Binary Sequences ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ On the conditional and unconditional distributions of the number of success runs on a circle with applications ⋮ Success run statistics defined on an urn model ⋮ Poisson approximation with applications to stochastic geometry ⋮ Discrete distributions related to success runs of lengthk in aulti-state markov chain ⋮ Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences ⋮ On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)

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