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This paper introduces an extended version of k-records. Kullback-Leibler (K-L) information between two generalized distributions arising from k-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 k-records, is studied. The exact expressions for K-L information between distributions of order statistics and upper (lower) k-records are obtained and some special cases are provided.

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