On the Distribution and Expectation of Success Runs in Nonhomogeneous Markov Dependent Trials
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Date
2005
Authors
Eryılmaz, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
Abstract
The number of success runs for nonhomogeneous markov dependent trials are represented as the sum of Bernoulli trials and the expected value of runs are obtained by using this representation. The distribution and bounds for the distribution of the longest run are derived for markov dependent trials.
Description
ORCID
Keywords
success run, Markov chain, Bernoulli trials, expected value, Length, Inequalities; stochastic orderings, 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
Q3
Scopus Q
Q2

OpenCitations Citation Count
21
Source
Statıstıcal Papers
Volume
46
Issue
1
Start Page
117
End Page
128
PlumX Metrics
Citations
CrossRef : 21
Scopus : 22
Captures
Mendeley Readers : 5
SCOPUS™ Citations
22
checked on Feb 13, 2026
Web of Science™ Citations
21
checked on Feb 13, 2026
Page Views
2
checked on Feb 13, 2026
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