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Partial monotonicity of entropy revisited

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  • Xia, Wanwan

Abstract

In this short note, we revisit the partial monotonicity of the differential entropy, and point out some errors in Shangari and Chen (2012) and Gupta and Bajaj (2013). The partial monotonicity of the Shannon entropy is also established.

Suggested Citation

  • Xia, Wanwan, 2019. "Partial monotonicity of entropy revisited," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 248-253.
    • Handle: RePEc:eee:stapro:v:145:y:2019:i:c:p:248-253
    DOI: 10.1016/j.spl.2018.09.015
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    References listed on IDEAS

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    1. Shangari, Dhruv & Chen, Jiahua, 2012. "Partial monotonicity of entropy measures," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 1935-1940.
    2. Belzunce, F. & Candel, J. & Ruiz, J. M., 1996. "Dispersive orderings and characterization of ageing classes," Statistics & Probability Letters, Elsevier, vol. 28(4), pages 321-327, August.
    3. Pellerey, Franco & Shaked, Moshe, 1997. "Characterizations of the IFR and DFR aging notions by means of the dispersive order," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 389-393, May.
    4. Gupta, Nitin & Bajaj, Rakesh Kumar, 2013. "On partial monotonic behaviour of some entropy measures," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1330-1338.
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