- Results in Nonlinear Analysis
- Vol: 4 Issue: 2
- On a sum form functional equation emerging from statistics and its applications
On a sum form functional equation emerging from statistics and its applications
Authors : Dhiraj Singh, Shveta Grover
Pages : 65-76
Doi:10.53006/rna.843040
View : 13 | Download : 8
Publication Date : 2021-06-30
Article Type : Research
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