On a sum form functional equation emerging from statistics and its applications

Year 2021, Volume: 4 Issue: 2, 65 - 76, 30.06.2021

Dhiraj Singh Shveta Grover

https://doi.org/10.53006/rna.843040

Abstract

In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.

Keywords

the entropies of type (\alpha; \beta), diversity index, expectation of a discrete random variable

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