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Characterization results based on non-additive entropy of order statistics

Author

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  • Thapliyal, Richa
  • Taneja, H.C.
  • Kumar, Vikas

Abstract

We consider a non-additive generalization of the Shannon entropy measure using order statistics and show that this entropy measure characterizes the distribution function uniquely. Further we propose a residual non-additive entropy measure for order statistics and prove a characterization result for that also.

Suggested Citation

  • Thapliyal, Richa & Taneja, H.C. & Kumar, Vikas, 2015. "Characterization results based on non-additive entropy of order statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 297-303.
    • Handle: RePEc:eee:phsmap:v:417:y:2015:i:c:p:297-303
    DOI: 10.1016/j.physa.2014.09.047
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    References listed on IDEAS

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    1. Wilk, G. & Włodarczyk, Z., 2008. "Example of a possible interpretation of Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4809-4813.
    2. Tong, S. & Bezerianos, A. & Paul, J. & Zhu, Y. & Thakor, N., 2002. "Nonextensive entropy measure of EEG following brain injury from cardiac arrest," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(3), pages 619-628.
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    Cited by:

    1. Tahmasebi, S. & Longobardi, M. & Kazemi, M.R. & Alizadeh, M., 2020. "Cumulative Tsallis entropy for maximum ranked set sampling with unequal samples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Kumar, Vikas, 2016. "Some results on Tsallis entropy measure and k-record values," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 667-673.
    3. Ahmadi, J. & Fashandi, M., 2019. "Characterization of symmetric distributions based on some information measures properties of order statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 141-152.
    4. Kumar, Vikas & Rekha,, 2018. "A quantile approach of Tsallis entropy for order statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 916-928.
    5. Qiu, Guoxin, 2017. "The extropy of order statistics and record values," Statistics & Probability Letters, Elsevier, vol. 120(C), pages 52-60.
    6. Vikas Kumar & Nirdesh Singh, 2023. "Some Results on Quantile Version of R é $\acute {e}$ nyi Entropy of Order Statistics," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 248-273, February.

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