On Cumulative Entropies and Lifetime Estimations

  • Authors:
  • Antonio Crescenzo;Maria Longobardi

  • Affiliations:
  • Dipartimento di Matematica e Informatica, Università di Salerno, Fisciano (SA), Italy I-84084;Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Napoli, Italy I-80126

  • Venue:
  • IWINAC '09 Proceedings of the 3rd International Work-Conference on The Interplay Between Natural and Artificial Computation: Part I: Methods and Models in Artificial and Natural Computation. A Homage to Professor Mira's Scientific Legacy
  • Year:
  • 2009

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Abstract

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.