Staff Members - Benha University
Limit Theory for Bivariate Central and Bivariate Intermediate Dual Generalized order Statistics
PROBABILITY AND MATHEMATICAL STATISTICS • 2015
Publication Information
Authors
H.M. Barakat , E.M. Nigm and M.A. Abd Elgawad
Keywords
Dual generalized order statistics, dual generalized
central order statistics, dual generalized intermediate order statistics.
Journal
PROBABILITY AND MATHEMATICAL STATISTICS
Publisher
Not Available
Volume
Vol. 35, Fasc. 2 (2015), pp. 267–284
Issue
Not Available
Pages
267-284
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract. Burkschat et al. (2003) have introduced the concept of dual
generalized order statistics (dgos) to unify several models that produce descendingly
ordered random variables (rv’s) like reversed order statistics,
lower k-records and lower Pfeifer records. In this paper we derive the limit
distribution functions (df’s) of bivariate central and bivariate intermediate
m-dgos. It is revealed that the convergence of the marginals of the m-dgos implies the convergence of the joint df. Moreover, we derive the conditions under which the asymptotic independence between the two marginals occurs.
generalized order statistics (dgos) to unify several models that produce descendingly
ordered random variables (rv’s) like reversed order statistics,
lower k-records and lower Pfeifer records. In this paper we derive the limit
distribution functions (df’s) of bivariate central and bivariate intermediate
m-dgos. It is revealed that the convergence of the marginals of the m-dgos implies the convergence of the joint df. Moreover, we derive the conditions under which the asymptotic independence between the two marginals occurs.