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


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Authors

  • Dhiraj Kumar Singh
  • Shveta Grover

Keywords:

Additive mapping; bounded mapping; linear mapping; logarithmic mapping; the entropies of type (α, β); diversity index; expectation of a discrete random variable.

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 signicance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.

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Published

2022-11-07

How to Cite

Dhiraj Kumar Singh, & Shveta Grover. (2022). On a sum form functional equation emerging from statistics and its applications. Results in Nonlinear Analysis, 4(2), 65–76. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/64

Issue

Vol. 4 No. 2 (2021): volume 4 issue 2

Section

Articles

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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