Exact distributions of constrained \((k, \ell )\) strings of failures between subsequent successes
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Publication:2392698
DOI10.1007/S00362-012-0462-1zbMath1307.62032OpenAlexW2006462892MaRDI QIDQ2392698
Frosso S. Makri, Zaharias M. Psillakis
Publication date: 2 August 2013
Published in: Statistical Papers (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00362-012-0462-1
Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05) Reliability and life testing (62N05) Exchangeability for stochastic processes (60G09)
Related Items (12)
On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence ⋮ Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ From runs to patterns ⋮ Computing waiting time probabilities related to \((k_1, k_2, \dots, k_l)\) pattern ⋮ The distributions of sum, minima and maxima of generalized geometric random variables ⋮ Distribution of patterns of constrained length in binary sequences ⋮ Generalizations of runs and patterns distributions for sequences of binary trials ⋮ Start-up demonstration tests with three-level classification ⋮ Moments of the count of a regular expression in a heterogeneous random sequence ⋮ Discrete time cold standby repairable system: Combinatorial analysis ⋮ Length of the minimum sequence containing repeats of success runs
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