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Generalized Order Statistics with Random Indices in a Stationary Gaussian Sequence |
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PP: 1081-1090 |
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doi:10.18576/amis/100326
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Author(s) |
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Haroon M. Barakat,
El-Sayed M. Nigm,
Esraa O. Abo Zaid,
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Abstract |
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In this paper we study the limit distributions of extreme, intermediate and central m-generalized order statistics (gos), as well
as m-dual generalized order statistics (dgos), of a stationary Gaussian sequence (sGs) under equi-correlated set up, when the random
sample size is assumed to converge weakly. Moreover, the result of extremes is extended to a wide subclass of gos (as well as dgos)
which contains the most important models of ordered random variables (rv’s). |
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