The unit generalized half-normal quantile regression model: formulation, estimation, diagnostics, and numerical applications

[ X ]

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

One New York Plaza

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, we propose and derive a new regression model for response variables defined on the open unit interval. By reparameterizing the unit generalized half-normal distribution, we get the interpretation of its location parameter as being a quantile of the distribution. In addition, we can evaluate effects of the explanatory variables in the conditional quantiles of the response variable as an alternative to the Kumaraswamy quantile regression model. The suitability of our proposal is demonstrated with two simulated examples and two real applications. For such data sets, the obtained fits of the proposed regression model are compared with that provided by a Kumaraswamy regression model.

Açıklama

Anahtar Kelimeler

Kumaraswamy distribution, Likelihood methods, Monte Carlo simulation, R software, Residual analysis, Unit generalized half-normal distribution

Kaynak

Soft Computing

WoS Q Değeri

Q2

Scopus Q Değeri

Cilt

Sayı

Künye

Mazucheli, J., Korkmaz, M. Ç., Menezes, A. F., & Leiva, V. (2022). The unit generalized half-normal quantile regression model: formulation, estimation, diagnostics, and numerical applications. Soft Computing, 1-17.