Title : ( Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy )
Authors: M. Sanei Tabass , Gholam Reza Mohtashami Borzadaran ,
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Abstract
Alencar and Francisco (1998) proved the absolute minimum and maximum value of a given probability mass function is related to the limit of the Renyi entropy. In this paper, we have determined the minimum or maximum of some probability mass function (PMF) using this point. In the following, it will be shown that the absolute minimum value of a given PMF is related to the limit of the Generalized Renyi entropy, as α ! −1 and β is fixed or (β ! −1 and α is fixed).The absolute maximum value of a PMF is related to the limit of the Generalized Renyi entropy, as α ! 1 and β is fixed or (β ! 1 and α is fixed).
Keywords
Shannon entropy; Renyi entropy; Generalized Renyi entropy; Absolute minimum; Absolute maximum.
@article{paperid:1075495,
author = {M. Sanei Tabass and Mohtashami Borzadaran, Gholam Reza},
title = {Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy},
journal = {Mathematical Sciences and Applications E-Notes},
year = {2019},
volume = {7},
number = {1},
month = {February},
issn = {2147-6268},
pages = {113--119},
numpages = {6},
keywords = {Shannon entropy; Renyi entropy; Generalized Renyi entropy; Absolute minimum; Absolute maximum.},
}
%0 Journal Article
%T Absolute Minimum and Maximum of the Probability Mass Functions and Limit of Generalized Renyi Entropy
%A M. Sanei Tabass
%A Mohtashami Borzadaran, Gholam Reza
%J Mathematical Sciences and Applications E-Notes
%@ 2147-6268
%D 2019
