Mosayeb Ahmadi_and G. R. Mohtashami Borzadaran
Communications for Statistical Applications and Methods, Vol. 20, No. 1, 1–13
Publication year: 2013

Abstract

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.