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

Authors : Dhiraj SİNGH, Shveta GROVER

Pages : 65-76

Doi:10.53006/rna.843040

View : 15 | Download : 10

Publication Date : 2021-06-30

Article Type : Research Paper

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, eta, diversity index, expectation of a discrete random variable