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Renyi's entropy for residual lifetime distribution

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Abstract

In the present paper, we introduce and study Renyi's information measure (entropy) for residual lifetime distributions. It is shown that the proposed measure uniquely determines the distribution. We present characterizations for some lifetime models. Further, we define two new classes of life distributions based on this measure. Various properties of these classes are also given.

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Authors and Affiliations

  1. Department of Statistics and Actuarial Sciences, University of Waterloo, N2L 3G1, Waterloo, ON, Canada

    B. Abraham

  2. Department of Statistics, Cochin University of Science and Technology, 682022, Cochin, India

    P. G. Sankaran

Authors
  1. B. Abraham
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  2. P. G. Sankaran
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Abraham, B., Sankaran, P.G. Renyi's entropy for residual lifetime distribution. Statistical Papers 47, 17–29 (2006). https://doi.org/10.1007/s00362-005-0270-y

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  • DOI: https://doi.org/10.1007/s00362-005-0270-y

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