September 18, 2025

An Enhanced Burr Type III Distribution: Simulation Studies and Practical Applications Authors

Puntos clave

The NEBIII distribution exhibits versatile mathematical properties including hazard functions and moment generating function.
Maximum Likelihood Estimation demonstrates effective parameter estimation in simulated studies with varying sample sizes.
Applications of this distribution extend to four real-world datasets, highlighting its practical utility in diverse circumstances.
A mixture model involving exponential and exponentiated burr type III distributions showcases additional mathematical characteristics.

Resumen

In this paper, we introduce a new three-parameter distribution, the New Exponentiated Burr Type III distribution (NEBIII), which is a member of the Generalized (G)-family of continuous distributions. The mathematical features that are derived include the mode, actuarial measures, order statistics, the analytical forms of the density and hazard functions, and explicit formulations for the moment generating function (MGF). The Maximum Likelihood Estimation (MLE) approach is used to estimate the model parameters. A simulated research with different sample sizes is used to evaluate the estimation's efficacy. The versatility and adaptability of the proposed distribution family are demonstrated on four real-world data sets. Additionally, we examine a Mixture of the Exponential and Exponentiated Burr Type III Distributions, identifying various mathematical characteristics and demonstrating their application to actual data.

Me gusta

Guardar