Abstract
Tsallis entropy of order \(\alpha \) (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 \(\alpha \) 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 \(\alpha \) 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.
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12 September 2019
Unfortunately, due to a technical error, the articles published in issues 60:2 and 60:3 received incorrect pagination. Please find here the corrected Tables of Contents. We apologize to the authors of the articles and the readers.
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Acknowledgements
The authors wish to thank the support of University Grants Commission, India, under Special Assistance Programme. The authors wish to thank the editor and referees for their constructive comments.
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Rajesh, G., Sunoj, S.M. Some properties of cumulative Tsallis entropy of order \(\alpha \). Stat Papers 60, 933–943 (2019). https://doi.org/10.1007/s00362-016-0855-7
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DOI: https://doi.org/10.1007/s00362-016-0855-7