On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials

DOI10.1007/BF02762038zbMath1072.60056OpenAlexW2089812370MaRDI QIDQ1767306

Serkan N. Eryılmaz

Publication date: 8 March 2005

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762038

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (18)

On the concentration of runs of ones of length exceeding a threshold in a Markov chain ⋮ Some results associated with the longest run statistic in a sequence of Markov dependent trials ⋮ Weak runs in sequences of binary trials ⋮ Success runs in a sequence of exchangeable binary trials ⋮ Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials ⋮ Runs based on records: their distributional properties and an application to testing for dispersive ordering ⋮ Limit theorems for runs based on `small spacings' ⋮ Distributions related to weak runs with a minimum and a maximum number of successes: a unified approach ⋮ On runs of length exceeding a threshold: normal approximation ⋮ Run statistics in a sequence of arbitrarily dependent binary trials ⋮ Shortest and longest length of success runs in binary sequences ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ On success runs of length exceeded a threshold ⋮ A note on runs of geometrically distributed random variables ⋮ Mean Residual Lifetimes of Consecutive-k-out-of-n Systems ⋮ Runs in an ordered sequence of random variables ⋮ Runs Based on the Ratios of Consecutive Order Statistics ⋮ On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)

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