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

G. Rajesh () and S. M. Sunoj ()
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G. Rajesh: Cochin University of Science and Technology
S. M. Sunoj: Cochin University of Science and Technology

Statistical Papers, 2019, vol. 60, issue 3, No 14, 933-943

Abstract: 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.

Keywords: Tsallis entropy; Cumulative residual entropy; Reliability measures; 94A17; 62N05 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s00362-016-0855-7

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