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