We study the properties of the called log-beta Weibull distribution defined by the logarithm of the beta Weibull random variable (Famoye et al. in J Stat Theory Appl 4:121–136, <CitationRef CitationID="CR7">2005</CitationRef>; Lee et al. in J Mod Appl Stat Methods 6:173–186, <CitationRef CitationID="CR16">2007</CitationRef>). An advantage of the new distribution is that it...</citationref></citationref>

The extensions of the entropy and Kullback–Leibler (KL) information to the cumulative distribution function have been recently studied because they are well defined on the empirical distribution function. In this paper, we generalize the extended KL information to the censored case and propose...