Statistical Papers

, Volume 60, Issue 3, pp 933–943 | Cite as

Some properties of cumulative Tsallis entropy of order \(\alpha \)

  • G. Rajesh
  • S. M. SunojEmail author
Regular Article


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.


Tsallis entropy Cumulative residual entropy Reliability measures 

Mathematics Subject Classification

94A17 62N05 



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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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of StatisticsCochin University of Science and TechnologyCochinIndia

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