The modified odd Burr XII-G family of distributions: Properties and Applications

TL;DR

This paper introduces the modified odd Burr XII-G family of distributions, which can model complex data shapes like bimodal and bathtub, with properties derived from the exponentiated-G class, and demonstrates its practical utility through real data applications.

Contribution

It develops a new flexible distribution family capable of modeling diverse data shapes and introduces a regression model within this family, with parameter estimation and validation.

Findings

Parameters estimated accurately via maximum likelihood

Distribution effectively models bimodal and bathtub data shapes

Real data applications demonstrate practical usefulness

Abstract

The modified odd Burr XII-G family is developed, capable of incorporating bimodal and bathtub shapes in its baseline distributions, with properties derived from the exponentiated-G class. A regression model is developed within this family. The parameters are estimated by maximum likelihood, and simulations are performed to verify their consistency. The usefulness of the proposals is demonstrated by means of three real data sets.