Generalized Order Statistics with Random Indices in a Stationary Gaussian Sequence

Authors

Haroon M. Barakat, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFollow
El-Sayed M. Nigm, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFollow
Esraa O. Abo Zaid, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFollow

Author Country (or Countries)

Egypt

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 (rv’s).

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100326

Recommended Citation

M. Barakat, Haroon; M. Nigm, El-Sayed; and O. Abo Zaid, Esraa (2016) "Generalized Order Statistics with Random Indices in a Stationary Gaussian Sequence," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 26.
DOI: http://dx.doi.org/10.18576/amis/100326
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/26