Distribution of Runs in a Sequence of Exchangeable Multi-State Trials
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Date
2008-09
Authors
Eryılmaz, Serkan
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
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No
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Top 10%
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Top 10%
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Average
Abstract
Let {X-i}(i >= 1) be a all infinite sequence of exchangeable multi-state trials with in (m >= 2) possible values. The exact distributions of runs, particularly the total number of runs, longest and shortest runs, in (X-i)(i >= l) are derived. Applications associated with multi-color Polya urn sampling scheme and statistical process control are also provided. (C) 2008 Elsevier B.V. All rights reserved.
Description
ORCID
Keywords
Markov Dependent Trials, Control Charts, Quality-Control, Success Runs, Longest Run, Length, Patterns, Chain, Exchangeability for stochastic processes, Exact distribution theory in statistics, Applications of statistics in engineering and industry; control charts, control charts, Distribution theory
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q4
Scopus Q
Q3
OpenCitations Citation Count
20
Source
Statıstıcs & Probabılıty Letters
Volume
78
Issue
12
Start Page
1505
End Page
1513
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CrossRef : 15
Scopus : 16
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Mendeley Readers : 4
SCOPUS™ Citations
16
checked on Apr 28, 2026
Web of Science™ Citations
15
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5
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