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01-Applied Mathematics & Information Sciences
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Volumes > Volume 10 > No. 3

 
   

Generalized Order Statistics with Random Indices in a Stationary Gaussian Sequence

PP: 1081-1090
doi:10.18576/amis/100326
Author(s)
Haroon M. Barakat, El-Sayed M. Nigm, Esraa O. Abo Zaid,
Abstract
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 (rvís).

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