General cumulative Kullback–Leibler information

Sangun Park, Hadi Alizadeh Noughabi, Ilmun Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1551-1560
Number of pages10
JournalCommunications in Statistics - Theory and Methods
Issue number7
Publication statusPublished - 2018 Apr 3

Bibliographical note

Funding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) grant funded by the Korea government (MOE) (No. 2015R1D1A1A01056578).

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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