Runs in an Ordered Sequence of Random Variables
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Date
2008
Authors
Eryılmaz, Serkan
Stepanov, Alexei
Journal Title
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Volume Title
Publisher
Springer Heidelberg
Open Access Color
Green Open Access
No
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Top 10%
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Abstract
Let X(1),..., X(n) be independent and identically distributed random variables with continuous distribution function. Denote by X(1:n) <= ... <= X(n:n) the corresponding order statistics. In the present paper, the concept of epsilon-neighbourhood runs, which is an extension of the usual run concept to the continuous case, is developed for the sequence of ordered random variables X(1:n) <= ... <= X(n:n).
Description
ORCID
Keywords
asymptotic results, dispersion, exchangeable random variables, order statistics, spacings, runs, longest run, Number, Records, Maximum, order statistics, spacings, Exchangeability for stochastic processes, runs, Order statistics; empirical distribution functions, dispersion, asymptotic results, longest run, exchangeable random variables
Fields of Science
0502 economics and business, 05 social sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
7
Source
Metrıka
Volume
67
Issue
3
Start Page
299
End Page
313
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Citations
CrossRef : 7
Scopus : 8
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