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Some properties of cumulative Tsallis entropy of order $$\alpha $$ α

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  • G. Rajesh

    (Cochin University of Science and Technology)

  • S. M. Sunoj

    (Cochin University of Science and Technology)

Abstract

Tsallis entropy of order $$\alpha $$ α (see Tsallis in J Stat Phys 52(1–2):479–487, 1988) plays an important role in the measurement uncertainty of random variables. Recently, Sati and Gupta (J Probab Stat, doi: 10.1155/2015/694203 , 2015) introduced a cumulative Tsallis entropy of order $$\alpha $$ α and studied its various properties in the context of reliability modeling. In this paper, we introduce an alternate measure of cumulative Tsallis entropy of order $$\alpha $$ α and study its properties. Unlike the cumulative Tsallis entropy due to Sati and Gupta (J Probab Stat, doi: 10.1155/2015/694203 , 2015), the proposed measure has some additional features and has simple relationships with other important information and reliability measures.

Suggested Citation

  • G. Rajesh & S. M. Sunoj, 2019. "Some properties of cumulative Tsallis entropy of order $$\alpha $$ α," Statistical Papers, Springer, vol. 60(3), pages 933-943, June.
    • Handle: RePEc:spr:stpapr:v:60:y:2019:i:3:d:10.1007_s00362-016-0855-7
    DOI: 10.1007/s00362-016-0855-7
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    References listed on IDEAS

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    1. V. Zardasht & S. Parsi & M. Mousazadeh, 2015. "On empirical cumulative residual entropy and a goodness-of-fit test for exponentiality," Statistical Papers, Springer, vol. 56(3), pages 677-688, August.
    2. Madan Mohan Sati & Nitin Gupta, 2015. "Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-8, October.
    3. Abbasnejad, M. & Arghami, N.R. & Morgenthaler, S. & Mohtashami Borzadaran, G.R., 2010. "On the dynamic survival entropy," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1962-1971, December.
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    Cited by:

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    3. Baishuai Zuo & Chuancun Yin, 2024. "Worst-cases of distortion riskmetrics and weighted entropy with partial information," Papers 2405.19075, arXiv.org.
    4. Mohamed S. Mohamed & Haroon M. Barakat & Salem A. Alyami & Mohamed A. Abd Elgawad, 2022. "Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    5. Mohamed Said Mohamed, 2020. "On Cumulative Tsallis Entropy and Its Dynamic Past Version," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1903-1917, December.

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