Bounds for some entropies and special functions
Classical Analysis and ODEs
2018-01-17 v1
Abstract
We consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of coincidence satisfies a Heun differential equation and is a logarithmically convex function. Combining these facts we get bounds for the index of coincidence, and consequently for R\'{e}nyi and Tsallis entropies of order .
Cite
@article{arxiv.1801.05003,
title = {Bounds for some entropies and special functions},
author = {Adina Barar and Gabriela Raluca Mocanu and Ioan Rasa},
journal= {arXiv preprint arXiv:1801.05003},
year = {2018}
}
Comments
Accepted to be published in Carpathian Journal of Mathematics, 1/2018