Eryılmaz, Serkan2023-06-162023-06-1620091226-31921876-4231https://doi.org/10.1016/j.jkss.2008.07.002https://hdl.handle.net/20.500.14365/1291In this paper we consider mean of success run lengths appearing in a sequence of binary trials. We derive the exact and limiting distributions of mean success run length for i.i.d. Bernoulli trials. The exact distribution of the corresponding random variable is also derived for a sequence of Markov-dependent Bernoulli trials. In addition, a combinatorial formula for the distribution of any success run statistic defined on Markov-dependent trials is presented. (C) 2008 The Korean Statistical Society, Published by Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessLimiting distributionRun lengthsSample meanSuccess runsSequencePatternsArticle10.1016/j.jkss.2008.07.0022-s2.0-57749090578