Journal
SYMMETRY-BASEL
Volume 13, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/sym13040682
Keywords
Birnbaum– Saunders distributions; data science; Monte Carlo simulations; R software; statistical modeling
Categories
Funding
- Fundacao Araucaria (Fundacao Araucaria), Brazil [064/2019-UEM]
- FONDECYT from the National Agency for Research and Development (ANID) of the Chilean government under the Ministry of Science, Technology, Knowledge and Innovation [1200525]
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This work introduces a regression model based on the unit Birnbaum-Saunders distribution for continuous variables bounded to the unit interval, offering better performance compared to existing quantile regression models.
Quantile regression provides a framework for modeling the relationship between a response variable and covariates using the quantile function. This work proposes a regression model for continuous variables bounded to the unit interval based on the unit Birnbaum-Saunders distribution as an alternative to the existing quantile regression models. By parameterizing the unit Birnbaum-Saunders distribution in terms of its quantile function allows us to model the effect of covariates across the entire response distribution, rather than only at the mean. Our proposal, especially useful for modeling quantiles using covariates, in general outperforms the other competing models available in the literature. These findings are supported by Monte Carlo simulations and applications using two real data sets. An R package, including parameter estimation, model checking as well as density, cumulative distribution, quantile and random number generating functions of the unit Birnbaum-Saunders distribution was developed and can be readily used to assess the suitability of our proposal.
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