Reparameterized extended Maxwell regression: Properties, estimation and application

Article Statistics & Probability

Log-symmetric quantile regression models

Helton Saulo et al.

Summary: This article introduces a regression model based on the log-symmetric family of distributions, which is useful for dealing with continuous, positive, and asymmetrically distributed response variables. Through two Monte Carlo simulation studies, it was found that the maximum likelihood estimators perform well.

STATISTICA NEERLANDICA (2022)

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Article Operations Research & Management Science

Birnbaum-Saunders quantile regression and its diagnostics with application to economic data

Luis Sanchez et al.

Summary: The study introduces a class of quantile regression models based on the Birnbaum-Saunders distribution, providing wide flexibility in modeling positive and asymmetric data. The methodology includes thorough theoretical property study and diagnostic analytics evaluation, with numerical results indicating the adequacy of the approach for quantile regression. The BS distribution is shown to be a good modeling choice for data with positive support and asymmetry.

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY (2021)

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Article Engineering, Multidisciplinary

A novel generalized odd log-logistic Maxwell-based regression with application to microbiology

Fabio Prataviera et al.

Summary: This study introduces new regression methods for real data with common characteristics such as bimodality, heteroskedasticity, zero-inflation, and nonlinear effects, utilizing maximum likelihood estimation for parameter estimation. Through simulations with different fixed parameters, sample sizes, and percentages of zeros, the behavior of the estimators is assessed. Quantile residuals are defined for evaluating regression assumptions, with the method illustrated through an experiment on soil microbiology in a sugarcane field.

APPLIED MATHEMATICAL MODELLING (2021)

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Article Statistics & Probability