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Some Properties of Past Entropy and their Applications

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Abstract

In the context of information theory, measure of uncertainty in past lifetime distribution has been proposed by Di Crescenzo and Longobardi (J Appl Probab 39:434–440, 2002). In this paper, we study some ordering and aging properties in terms of past entropy (based on past lifetime) and develop some characterization results. Some discrete distribution results are also addressed here.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721 302, India

    Asok K. Nanda & Prasanta Paul

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  1. Asok K. Nanda
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  2. Prasanta Paul
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Correspondence to Asok K. Nanda.

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Nanda, A.K., Paul, P. Some Properties of Past Entropy and their Applications. Metrika 64, 47–61 (2006). https://doi.org/10.1007/s00184-006-0030-6

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  • DOI: https://doi.org/10.1007/s00184-006-0030-6

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