Characterization of continuous symmetric distributions using information measures of records

Ahmadi, Jafar

doi:10.1007/s00362-020-01206-z

Cited by 4 publications

(1 citation statement)

References 42 publications

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“…Additionally, the mentioned paper examines the residual Tsallis entropy of k-record statistics in a summary context. Drawing on the information measures of record data obtained from independent and identically distributed continuous RVs, Ahmadi [13] offers new characterizations for continuous symmetric distributions based on the cumulative residual (past) entropy, Shannon entropy, Renyi entropy, Tsallis entropy, and common Kerridge inaccuracy measures. Xiong et al [14] present the symmetric property of the extropy of record values and provide characterizations of exponential distributions.…”

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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Section: Introductionmentioning

confidence: 99%