Limit theory for joint generalized order statistics

* In Kamps [7] generalized order statistics (gos) have been introduced as a unifying theme for several models of ascendingly ordered random variables (rv's). The main aim of this paper is to study the limit joint distribution function (df) of any two statistics in a wide subclass of the gos mod...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Revstat 2014-11, Vol.12 (3), p.199
Hauptverfasser: Barakat, H.M, Nigm, E.M, Elgawad, M.A. Abd
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:* In Kamps [7] generalized order statistics (gos) have been introduced as a unifying theme for several models of ascendingly ordered random variables (rv's). The main aim of this paper is to study the limit joint distribution function (df) of any two statistics in a wide subclass of the gos model known as m-gos. This subclass contains many important practical models of gos such as ordinary order statistics (oos), order statistics with non-integer sample size, and sequential order statistics (sos). The limit df's of lower-lower extreme, upper-upper extreme, lower-upper extreme, centralcentral and lower-lower intermediate m-gos are obtained. It is revealed that the convergence of the marginals m-gos implies the convergence of the joint df. Moreover, the conditions, under which the asymptotic independence between the two marginals occurs, are derived. Key-Words: * generalized order statistics; generalized extreme order statistics; generalized central order statistics; generalized intermediate order statistics. AMS Subject Classification: * 60F05, 62E20, 62E15, 62G30.
ISSN:1645-6726
2183-0371
DOI:10.57805/revstat.v12i3.151