Limit distributions of generalized order statistics in a stationary Gaussian sequence |
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Authors: | EO Abo Zaid EM Nigm |
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Institution: | Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt |
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Abstract: | In this paper we study the limit distributions of extreme, intermediate and central m-generalized order statistics, as well as m-dual generalized order statistics, of a stationary Gaussian sequence under equi-correlated set up. Moreover, the result of extremes is extended to a wide subclass of generalized order statistics, as well as dual generalized order statistics, when the parameters γ1,n, γ2,n,?…?, γn,n are assumed to be pairwise different. |
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Keywords: | 60G70 62G30 |
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