Some characterizations of continuous symmetric distributions based on extropy of record values

Gupta, Nitin; Chaudhary, Santosh Kumar

doi:10.1007/s00362-022-01392-y

Cited by 6 publications

(1 citation statement)

References 39 publications

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“…Furthermore, they discuss the monotone property of the residual extropy for both upper and lower k-records. Further contributions in this area can be found in the following papers: Paul et al [16], Cali et al [17], Zamani et al [18], Gupta et al [19], Paula et al [20], Zarezadeh [21], Baratpour et al [22], and Qiu [23]. These papers, along with their references, provide additional insights and developments related to the topic.…”

Section: Introductionmentioning

confidence: 99%

Residual Tsallis Entropy and Record Values: Some New Insights

Shrahili,

Kayid

2023

Symmetry

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Recently, the uncertainty aspects of record values have been increasingly studied in the literature. In this paper, we study the residual Tsallis entropy of upper record values coming from random samples. In the continuous case, we define the Tsallis entropy quantity for the residual lifetime of upper record values in general distributions as the residual Tsallis entropy of upper record values coming from a uniform distribution. We also obtain a lower bound on the residual Tsallis entropy of upper data set values originating from an arbitrary continuous probability distribution. We also discuss the monotonic property of the residual Tsallis entropy of upper data sets.

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