On success runs of a fixed length in Bernoulli sequences: Exact and asymptotic results

Frosso S. Makri, Zaharias M. Psillakis

Type: Article

Publication Date: 2011-01-15

Citations: 26

DOI: https://doi.org/10.1016/j.camwa.2010.12.023

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Computers & Mathematics with Applications - View

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+	On Distributions of Runs in the Compound Binomial Risk Model	2012	Serkan Eryılmaz
+	Central Limit Theorem Approximations for the Number of Runs in Markov-dependent Multi-type Sequences	2014	George C. Mytalas Michael A. Zazanis
+ PDF Chat	Counting Runs of Ones with Overlapping Parts in Binary Strings Ordered Linearly and Circularly	2013	Frosso S. Makri Zaharias M. Psillakis Anastasios N. Arapis
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+	Review of reliability bounds for consecutive-k-out-of-n systems	2014	Valeriu Beiu Leonard Dăuş
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+ PDF Chat	Lower and Upper Reliability Bounds for Consecutive-<formula formulatype="inline"><tex Notation="TeX">$k $</tex></formula>-Out-of-<formula formulatype="inline"><tex Notation="TeX">$ n $</tex></formula>:<formula formulatype="inline"><tex Notation="TeX">${\rm F}$</tex></formula> Systems	2015	Leonard Dăuş Valeriu Beiu
+	On the mean and extreme distances between failures in Markovian binary sequences	2011	Serkan Eryılmaz Femin Yalçın
+ PDF Chat	Joint distribution of k-tuple statistics in zero-one sequences of Markov-dependent trials	2017	Anastasios N. Arapis Frosso S. Makri Zaharias M. Psillakis

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+	Ch. 12. Applications of markov chains to the distribution theory of runs and patterns	2003	Markos V. Koutras
+	None	2002	James C. Fu Wendy Lou Zhidong Bai Gang Li
+	Programming with Pascal	1987	Byron S. Gottfried
+	On runs of length exceeding a threshold: normal approximation	2009	Frosso S. Makri Zaharias M. Psillakis
+	Run statistics in a sequence of arbitrarily dependent binary trials	2008	Sevcan Demir Serkan Eryılmaz
+ PDF Chat	Run Statistics Defined on the Multicolor URN Model	2008	Serkan Eryılmaz
+	On the Normal Approximation for the Distribution of the Number of Simple or Compound Patterns in a Random Sequence of Multi-state Trials	2007	James C. Fu Wendy Lou
+	Problems and Snapshots from the World of Probability	1994	Gunnar Blom Lars Holst Dennis Sandell
+ PDF Chat	Two Moments Suffice for Poisson Approximations: The Chen-Stein Method	1989	Richard Arratia Larry Goldstein Louis Gordon
+	Distribution Theory of Runs: A Markov Chain Approach	1994	James C. Fu Markos V. Koutras