Generalized-order statistics with random indices

In this paper, we study the asymptotic behavior of general sequence of extreme, intermediate and central generalized-order statistics (gos), as well as dual generalized-order statistics (dgos), which are connected asymptotically with some regularly varying functions. Moreover, the limit distribution...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2018-06, Vol.47 (12), p.2859-2868
Main Authors: Barakat, H. M., Elgawad, M. A. Abd, Yan, Ting
Format: Article
Language:English
Subjects:
Asymptotic methods
Distribution functions
Statistics
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Summary:In this paper, we study the asymptotic behavior of general sequence of extreme, intermediate and central generalized-order statistics (gos), as well as dual generalized-order statistics (dgos), which are connected asymptotically with some regularly varying functions. Moreover, the limit distribution functions of gos, as well as dgos, with random indices, are obtained under general conditions.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2017.1342837