Open AccessInformational properties of transmuted distributions
Author(s) -
Omid Kharazmi,
N. Balakrishnan
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2113287k
Subject(s) - mathematics , fisher information , statistics , kullback–leibler divergence , entropy (arrow of time) , information theory , quantum mechanics , physics
In this paper, we establish some informational properties of transmuted distributions. Specifically, we derive Shannon entropy, Gini?s mean difference, and Fisher and Bayes Fisher information measures of a transmuted distribution. Two extensions of Shannon entropy and Gini?s mean difference information measures are also provided. Finally, the distances between transmuted distribution and its components based on the Kullback-Leibler, chi-square and energy distance divergences are all derived.