Article ID: MTJPAM-D-24-00034

Title: On entropies and Fisher information matrix for an extended Beta distribution


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00034; Volume 6 / Issue 3 / Year 2024, Pages 492-502

Document Type: Research Paper

Author(s): ‪Musharraf Ali a

aDepartment of Mathematics, G.F. College, Shahjahanpur 242001, India

Received: 29 February 2024, Accepted: 12 February 2025, Published: 14 July 2025

Corresponding Author: Musharraf Ali (Email address: drmusharrafali@gmail.com)

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Abstract

The extended beta-type 1 distribution has the probability density function proportional to , 0 < u < 1. In this exploratory article, the exact forms of Rényi and Shannon entropies for the extended beta-type 1 distribution are discussed. Furthermore, the Fisher information matrix of the above-mentioned distribution is pointed out systematically.

Keywords: Beta function, extended beta function, entropy, information matrix, probability distribution

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Cite this article

How to cite this article: M. Ali, On entropies and Fisher information matrix for an extended Beta distribution, Montes Taurus J. Pure Appl. Math. 6 (3), 492-502, 2024; Article ID: MTJPAM-D-24-00034.