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Quantile-Based Entropy of Order Statistics

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Abstract

Recently, quantile-based study of entropy measures found greater interest among researchers as an alternative method of measuring uncertainty of a random variable. The quantile-based entropy measures possess some unique properties than its distribution function approach. Motivated by this, in the present paper, we introduce a quantile-based entropy of order statistics and study its properties. We also propose a quantile-based residual entropy of order statistics, an alternative method to measure the uncertainty of ordered observations for used items. Unlike distribution function approach, we derive an explicit relationship between the quantile density function and quantile-based residual entropy of order statistics.

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Authors and Affiliations

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

    S. M. Sunoj, Aswathy S. Krishnan & P. G. Sankaran

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  1. S. M. Sunoj
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  2. Aswathy S. Krishnan
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  3. P. G. Sankaran
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Correspondence to P. G. Sankaran.

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Sunoj, S.M., Krishnan, A.S. & Sankaran, P.G. Quantile-Based Entropy of Order Statistics. J Indian Soc Probab Stat 18, 1–17 (2017). https://doi.org/10.1007/s41096-016-0014-4

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  • DOI: https://doi.org/10.1007/s41096-016-0014-4

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