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Bivariate generalized cumulative residual entropy

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Abstract

The Generalized Cumulative Entropy for residual life time (GCRE), introduced by Kumar and Taneja (Statist Probab Lett 81:1072–1077, 2011), is viewed as a dynamic measure of uncertainty. The present paper addresses the question of extending this measure to higher dimensions and study its properties. It is shown that the proposed measure uniquely determines the distribution. We use this measure to characterize some bivariate lifetime models. Further, we define a new classes of life distributions using this measure and various properties of these classes are also studied.

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Authors and Affiliations

  1. Department of Statistics, DB College, Parumala, 689 626, India

    G. Rajesh

  2. Department of Statistics, University of Kerala, Thiruvananthapuram, 695 581, India

    E. I. Abdul-Sathar & K. V. Reshmi

  3. Department of Statistics, Cochin University of Science and Technology, Cochin, 22, India

    K. R. Muraleedharan Nair

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  1. G. Rajesh
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  2. E. I. Abdul-Sathar
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  3. K. V. Reshmi
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  4. K. R. Muraleedharan Nair
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Correspondence to E. I. Abdul-Sathar.

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Rajesh, G., Abdul-Sathar, E.I., Reshmi, K.V. et al. Bivariate generalized cumulative residual entropy. Sankhya A 76, 101–122 (2014). https://doi.org/10.1007/s13171-013-0031-2

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  • DOI: https://doi.org/10.1007/s13171-013-0031-2

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