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The Index of Coincidence for the Binomial Distribution Is Log-convex by Rasa, Ioan is a scholarly article available to read on EtoBox.

What is The Index of Coincidence for the Binomial Distribution Is Log-convex about?

We consider the binomial distribution with parameters $n$ and $x$, and show that the sum of the squared probabilities is a log-convex function of $x$. This completes the proof of a conjecture formulated in 2014. Applications to R\'{e}nyi and Tsallis entropies are given.

Author

Rasa, Ioan

Published

2017

Language

EN