Majorization Bounds for Distribution Functions
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Date
2012
Authors
Bairamov Ismihan
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
Yes
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Publicly Funded
No
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Average
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Abstract
For a univariate distribution function (cdf) the upper and lower bounds expressed in terms of mixtures of cdfs of order statistics are obtained. For a bivariate cdf, similar bounds, expressed in terms of mixtures of joint cdf's of order statistics and their concomitants, are given. It is shown that these bounds converge to the corresponding cdf. (C) 2012 Elsevier B.V. All rights reserved.
Description
ORCID
Keywords
Order statistics, Concomitants, Majorization, Order-Statistics, Concomitants, 62G30, FOS: Mathematics, Mathematics - Statistics Theory, Statistics Theory (math.ST), order statistics, concomitants, majorization, Inequalities; stochastic orderings, Probability distributions: general theory
Fields of Science
0502 economics and business, 05 social sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q4
Scopus Q
Q3
OpenCitations Citation Count
2
Source
Statıstıcs & Probabılıty Letters
Volume
82
Issue
10
Start Page
1799
End Page
1806
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CrossRef : 2
Scopus : 2
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Mendeley Readers : 4
SCOPUS™ Citations
2
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Web of Science™ Citations
3
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4
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