Mikailalsys Journal of Mathematics and Statistics
Vol 4 No 2 (2026): Mikailalsys Journal of Mathematics and Statistics

Some Entropies Derivation for Entropy Transformed Exponential Distribution with Application to Health Data

H. A., Tugga (Unknown)
I. J.,, David (Unknown)
O. D., Adubisi (Unknown)



Article Info

Publish Date
16 May 2026

Abstract

This study aims to estimate and comparatively evaluate the performance of four entropy measures—Havrda–Charvat, Kapur, Verma, and Mathai–Haubold—in modeling newborn weight. A quantitative approach was adopted through analytical derivations and Monte Carlo simulation techniques. The performance of each entropy measure was assessed across varying sample sizes using bias, mean squared error (MSE), and root mean squared error (RMSE) as evaluation criteria. The findings indicate that the Havrda–Charvat entropy measure demonstrates superior accuracy, consistency, and convergence toward the true entropy values, thereby exhibiting robust performance under the entropy-transformed exponential distribution (ETED). These results contribute to the theoretical development of entropy-based modeling by extending current understanding of estimator performance within ETED and providing comparative evidence on the suitability of alternative entropy measures for newborn weight modeling.

Copyrights © 2026






Journal Info

Abbrev

MJMS

Publisher

Subject

Engineering Mathematics Mechanical Engineering

Description

The journal contains scientific articles covering topics such as mathematical theory, statistical methods, the application of mathematics in various disciplines, and statistical data analysis. The primary objective of this journal is to promote a better understanding of mathematical and statistical ...