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On partial monotonic behaviour of some entropy measures

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  • Gupta, Nitin
  • Bajaj, Rakesh Kumar

Abstract

In the present communication, the conditional Tsallis and Kapur entropies have been studied for their monotonic behaviour. Further, the results on the convolutions of Tsallis and Renyi entropies have been provided.

Suggested Citation

  • Gupta, Nitin & Bajaj, Rakesh Kumar, 2013. "On partial monotonic behaviour of some entropy measures," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1330-1338.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:5:p:1330-1338
    DOI: 10.1016/j.spl.2013.02.001
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    References listed on IDEAS

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    1. Chen, Jiahua & van Eeden, Constance & Zidek, James, 2010. "Uncertainty and the conditional variance," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1764-1770, December.
    2. Shangari, Dhruv & Chen, Jiahua, 2012. "Partial monotonicity of entropy measures," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1935-1940.
    3. Burdett, Kenneth, 1996. "Truncated means and variances," Economics Letters, Elsevier, vol. 52(3), pages 263-267, September.
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    Cited by:

    1. Jona Lasinio, Giovanna & Pollice, Alessio & Fano, Elisa Anna, 2019. "Generalized biodiversity assessment by Bayesian nested random effects models with spyke-and-slab priors," Statistics & Probability Letters, Elsevier, vol. 144(C), pages 52-56.
    2. Xia, Wanwan, 2019. "Partial monotonicity of entropy revisited," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 248-253.

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