On Limited Length Binary Strings with an Application in Statistical Control

F.S. Makri () and Z.M. Psillakis
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F.S. Makri: Department of Mathematics, University of Patras, 26500 Patras, Greece
Z.M. Psillakis: Department of Physics, University of Patras, 26500 Patras, Greece

The Open Statistics and Probability Journal, 2017, vol. 8, issue 1, 1-6

Abstract: In a 0 - 1 sequence of Markov dependent trials we consider a statistic which counts strings of a limited length run of 0s between subsequent 1s. Its probability mass function is used to determine the chance that a stochastic process remains or not in statistical control. Illustrative numerics are presented.

Keywords: Binary strings; runs; overlapping counting; Markov chain; Statistical control. (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ben:tostpj:v:8:y:2017:i:1:p:1-6

DOI: 10.2174/1876527001708010001

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