The Poisson approximation for the number of matches of values of a discrete function on segments of a sequence of random variables

DOI10.1515/156939205774464512zbMath1113.60029OpenAlexW2086830383MaRDI QIDQ5491209

Publication date: 10 October 2006

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939205774464512

zbMATH Keywords

\(U\)-statistic polynomial scheme number of matching patterns \(s\)-tuples Stein-Chen-method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Stochastic processes (60G99)

Related Items (6)

Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain ⋮ Normal approximation for U- and V-statistics of a stationary absolutely regular sequence ⋮ Многократные повторения длинных цепочек в конечной цепи Маркова ⋮ The compound Poisson distribution of the number of matches of values of a discrete function of s-tuples in segments of a sequence of random variables ⋮ Структурно эквивалентные цепочки в равновероятной полиномиальной схеме ⋮ О числах множеств эквивалентных цепочек в последовательности независимых случайных величин

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