Generalized-order statistics with random indices |
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| Authors: | H M Barakat Ting Yan |
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| Institution: | 1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt;2. School of Mathematics and Statistics, Central China Normal University, Wuhan, China |
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| 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. |
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| Keywords: | Dual generalized-order statistics generalized-order statistics random sample size regularly varying functions weak convergence |
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