Limit Results for Ordered Uniform Spacings
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Date
2010
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Journal Title
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Volume Title
Publisher
Springer
Open Access Color
Green Open Access
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Abstract
Let Delta (k:n) = X (k,n) - X (k-1,n) (k = 1, 2, . . . , n + 1) be the spacings based on uniform order statistics, provided X (0,n) = 0 and X (n+1,n) = 1. Obtained from uniform spacings, ordered uniform spacings 0 = Delta(0,n) < Delta(1,n) < . . . < Delta (n+1,n) , are discussed in the present paper. Distributional and limit results for them are in the focus of our attention.
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ORCID
Keywords
Uniform distribution, Order statistics, Spacings, Ordered spacings, Limit theorems, [MATH] Mathematics [math], [MATH]Mathematics [math], Extreme value theory; extremal stochastic processes, uniform distribution, ordered spacings, order statistics, spacings, limit theorems, Order statistics; empirical distribution functions
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
12
Source
Statıstıcal Papers
Volume
51
Issue
1
Start Page
227
End Page
240
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CrossRef : 12
Scopus : 15
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