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Limit theory for bivariate extreme generalized order statistics and dual generalized order statistics

ALEA, Lat. Am. J. Probab. Math. Stat. • 2014
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Publication Information
Authors H. M. Barakat ,E. M. Nigm and M.A.Abd Elgawad
Keywords Generalized order statistics, Dual generalized order statistics, Extreme generalized order statistics.
Journal ALEA, Lat. Am. J. Probab. Math. Stat.
Publisher Latin American Journal of Probability and Mathematical Statistics
Volume 11(1)
Issue Not Available
Pages 331-340
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
In Kamps (1995) generalized order statistics (gos) have been introduced as a unifying theme for several models of ascendingly ordered random variables (rv's). Following Kamps (1995), Burkschat et al. (2003) have introduced
the concept of dual generalized order statistics (dgos) to unify several models that produce ordered rv's. In this paper we study the asymptotic bivariate df of the (lower-lower), (upper-upper) and (lower-upper) extreme m-gos and m-dgos