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General cumulative Kullback-Leibler information
Park, Sangun,Noughabi, Hadi Alizadeh,Kim, Ilmun Informa UK (TaylorFrancis) 2018 Communications in Statistics Vol.47 No.7
<P>The cumulative residual Kullback-Leibler information is defined on the semi-infinite (non negative) interval. In this paper, we extend the cumulative residual Kullback-Leibler information to the whole real line and propose a general cumulative Kullback-Leibler information. We study its application to a test for normality in comparison with some competing test statistics based on the empirical distribution function including the well-known tests applied in practice like Kolmogorov-Smirnov, Cramer-von Mises, Anderson-Darling, and other existing tests.</P>