Generalized-order statistics with random indices

H. M. Barakat, M. A. Abd Elgawad and Ting Yan

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 12, 2859-2868

Abstract: 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.

Date: 2018
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DOI: 10.1080/03610926.2017.1342837

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