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Kullback-Leibler Information in View of an Extended Version of κ-Records

  • Ahmadi, Mosayeba (Department of Statistics, OSDCE, Ferdowsi University of Mashhad) ;
  • Mohtashami Borzadaran, G.R. (Department of Statistics, OSDCE, Ferdowsi University of Mashhad)
  • Received : 2011.12.08
  • Accepted : 2012.11.01
  • Published : 2013.01.31

Abstract

This paper introduces an extended version of ${\kappa}$-records. Kullback-Leibler (K-L) information between two generalized distributions arising from ${\kappa}$-records is derived; subsequently, it is shown that K-L information does not depend on the baseline distribution. The behavior of K-L information for order statistics and ${\kappa}$-records, is studied. The exact expressions for K-L information between distributions of order statistics and upper (lower) ${\kappa}$-records are obtained and some special cases are provided.

Keywords

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