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

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No
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Top 10%
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Top 10%
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Average

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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

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
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OpenCitations Citation Count
21

Source

Statıstıcal Papers

Volume

46

Issue

1

Start Page

117

End Page

128
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Citations

CrossRef : 21

Scopus : 22

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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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4.21793692

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