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Characterizations using past entropy measures

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Listed:
  • G. Asha
  • C. Rejeesh

Abstract

It is reasonable to presume that in many realistic situations uncertainty is not necessarily related to the future but can also refer to the past. A measure of uncertainty in this context is the cumulative entropy defined for a non-negative random variable. In this paper we extend this definition to the case of a distributions with support in $$\mathbb {R}$$ R . Conditions for the existence of this measure and its properties are also considered. Apart from this, certain characterization results based on past entropy measures are also discussed. Copyright Sapienza Università di Roma 2015

Suggested Citation

  • G. Asha & C. Rejeesh, 2015. "Characterizations using past entropy measures," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 119-134, April.
    • Handle: RePEc:spr:metron:v:73:y:2015:i:1:p:119-134
    DOI: 10.1007/s40300-014-0053-0
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    References listed on IDEAS

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    1. Felix Belzunce & Jorge Navarro & José M. Ruiz & Yolanda del Aguila, 2004. "Some results on residual entropy function," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 59(2), pages 147-161, May.
    2. Asha, G. & Rejeesh, C. John, 2009. "Characterizations using the generalized reversed lack of memory property," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1480-1487, June.
    3. Asok Nanda & Prasanta Paul, 2006. "Some Properties of Past Entropy and their Applications," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(1), pages 47-61, August.
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