The cumulative entropy is a new measure of information, alternative to the classical differential entropy. It has been recently proposed in analogy with the cumulative residual entropy studied by Wang et al. (2003a) and (2003b). After recalling its main properties, including a connection to reliability theory, we discuss estimates of random lifetimes based on the empirical cumulative entropy, which is suitably expressed in terms of the dual normalized sample spacings. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Di Crescenzo, A., & Longobardi, M. (2009). On cumulative entropies and lifetime estimations. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5601 LNCS, pp. 132–141). https://doi.org/10.1007/978-3-642-02264-7_15
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