Waiting Times and Number of Appearances of Runs: A Unified Approach

DOI10.1081/STA-120021560zbMath1140.60306OpenAlexW2062046437MaRDI QIDQ4484614

Demetrios L. Antzoulakos

Publication date: 12 June 2003

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sta-120021560

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Characterization and structure theory of statistical distributions (62E10)

Related Items (9)

A UNIFIED APPROACH TO GENERATING FUNCTIONS BASED ON BELL POLYNOMIALS ⋮ Weak runs in sequences of binary trials ⋮ 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 ⋮ Distributions of patterns of two successes separated by a string of \(k-2\) failures ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs ⋮ 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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