On cumulative residual Kullback–Leibler information

Sangun Park, Murali Rao and Dong Wan Shin

Statistics & Probability Letters, 2012, vol. 82, issue 11, 2025-2032

Abstract: Some extensions of entropy and KL information to the survival function have been recently proposed. We first compare some extensions of KL information and provide a criterion in choosing one among those extensions. Then we study moment constraints for maximum cumulative residual entropy distribution (Rao et al., 2004) in view of the relation between the cumulative residual entropy difference and cumulative residual Kullback–Leibler (KL) information. We further discuss the estimation methods and suggest a weighted cumulative residual entropy. Finally, we discuss the application of the estimated cumulative residual KL information as a goodness of fit test statistic with numerical examples.

Keywords: Entropy; Fisher information; Maximum entropy; Survival function (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (9)

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DOI: 10.1016/j.spl.2012.06.015

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