Some Results Associated With the Longest Run Statistic in a Sequence of Markov Dependent Trials
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Date
2006
Authors
Eryılmaz, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Inc
Open Access Color
Green Open Access
No
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OpenAIRE Views
Publicly Funded
No
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Average
Influence
Top 10%
Popularity
Average
Abstract
We express the longest run statistic as the maximum of a sequence whose members are subject to a Markov chain condition. Via this setup some results for the exact expression and bounds for the distribution of the longest run in a sequence of Markov dependent trials are presented. Extension of the results to the second order Markov dependent trials are also provided. (c) 2005 Elsevier Inc. All rights reserved.
Description
ORCID
Keywords
Bernoulli trials, longest run, Markov chain, order statistic, N-F-Systems, Of-N, Success Runs, Reliability, Chain, Order statistic, Bernoulli trials, Longest run, Markov chain, Inequalities; stochastic orderings, Order statistics; empirical distribution functions, Exact distribution theory in statistics, Markov chains (discrete-time Markov processes on discrete state spaces)
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
12
Source
Applıed Mathematıcs And Computatıon
Volume
175
Issue
1
Start Page
119
End Page
130
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Citations
CrossRef : 9
Scopus : 16
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Mendeley Readers : 8
SCOPUS™ Citations
16
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Web of Science™ Citations
15
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