Academic Journal
Parametric Quantile Beta Regression Model
| العنوان: | Parametric Quantile Beta Regression Model |
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| المؤلفون: | Bourguignon, Marcelo, Gallardo, Diego I., Saulo, Helton |
| المساهمون: | Conselho Nacional de Desenvolvimento Científico e Tecnológico |
| المصدر: | International Statistical Review ; volume 92, issue 1, page 106-129 ; ISSN 0306-7734 1751-5823 |
| بيانات النشر: | Wiley |
| سنة النشر: | 2024 |
| المجموعة: | Wiley Online Library (Open Access Articles via Crossref) |
| الوصف: | Summary In this paper, we develop a fully parametric quantile regression model based on the generalised three‐parameter beta (GB3) distribution. Beta regression models are primarily used to model rates and proportions. However, these models are usually specified in terms of a conditional mean. Therefore, they may be inadequate if the observed response variable follows an asymmetrical distribution. In addition, beta regression models do not consider the effect of the covariates across the spectrum of the dependent variable, which is possible through the conditional quantile approach. In order to introduce the proposed GB3 regression model, we first reparameterise the GB3 distribution by inserting a quantile parameter, and then we develop the new proposed quantile model. We also propose a simple interpretation of the predictor–response relationship in terms of percentage increases/decreases of the quantile. A Monte Carlo study is carried out for evaluating the performance of the maximum likelihood estimates and the choice of the link functions. Finally, a real COVID‐19 dataset from Chile is analysed and discussed to illustrate the proposed approach. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| DOI: | 10.1111/insr.12564 |
| الاتاحة: | http://dx.doi.org/10.1111/insr.12564 https://onlinelibrary.wiley.com/doi/pdf/10.1111/insr.12564 |
| Rights: | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| رقم الانضمام: | edsbas.E9029090 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1111/insr.12564 |
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