Joint Distribution of Run Statistics in Partially Exchangeable Processes
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
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Abstract
Let {X-i}(i >= 1) be an infinite sequence of recurrent partially exchangeable random variables with two possible outcomes as either "1" (success) or "0" (failure). In this paper we obtain the joint distribution of success and failure run statistics in {X-i}(i >= 1). The results can be used to obtain the joint distribution of runs in ordinary Markov chains, exchangeable and independent sequences. (C) 2010 Elsevier B.V. All rights reserved.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
ORCID
Keywords
de Finetti representation, Exchangeability, Partial exchangeability, Runs, Start-up demonstration tests, de Finetti representation, start-up demonstration tests, partial exchangeability, runs, Probability distributions: general theory, Exact distribution theory in statistics, exchangeability
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Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q4
Scopus Q
OpenCitations Citation Count
13
Source
Statistics & Probability Letters
Volume
81
Issue
1
Start Page
163
End Page
168
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CrossRef : 7
Scopus : 11
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1.83440725
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9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
