Characterization of Bivariate Distributions Using Concomitants of Generalized (k) Record Values

In this paper we have derived some properties of concomitants of generalized (k) record values which characterize the generalized Morgenstern family of bivariate distributions. The role of concomitants of generalized (k) record values in the unique determination of the parent bivariate distribution...

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Bibliographic Details
Published in:Statistica (Bologna) 2014-01, Vol.74 (4), p.431-446
Main Authors: Thomas, Poruthiyudian Yageen, Philip, Anne, Thankachan, Geetha Veena
Format: Article
Language:English
Subjects:
Characterization of bivariate distributions
Concomitants of generalized (k) record values
Generalized Morgenstern family of bivariate distributions
Mathematical models
Random variables
Statistical analysis
Statistical methods
Statistics
Studies
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Summary:In this paper we have derived some properties of concomitants of generalized (k) record values which characterize the generalized Morgenstern family of bivariate distributions. The role of concomitants of generalized (k) record values in the unique determination of the parent bivariate distribution has been established. We have also illustrated how the concomitants of generalized (k) record values characterize the Morgenstern family of bivariate distributions.
ISSN:0390-590X
1973-2201
DOI:10.6092/issn.1973-2201/5503