The Modified Odd Burr XII-G Family of Distributions: Properties and Applications

2025/10/20 by Ferreira, Alexsandro, Cordeiro, Gauss M.
Mathematics · #Advanced Statistical Methods and Models #COVID-19 #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference #Weilbull distribution #dengue #maximum likelihood estimation #regression model

paper · doi:10.57805/wwrst235

openalex publication_date 2025/10/20 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28

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.

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