A Class of Exponentiated Regression Model for Non Negative Censored Data with an Application to Antibody Response to Vaccine

In this paper, an asymmetric regression model for censored non-negative data based on the centred exponentiated log-skew-normal and Bernoulli distributions mixture is introduced. To connect the discrete part with the continuous distribution, the logit link function is used. The parameters of the mod...

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Bibliographic Details
Main Authors: Guillermo Martínez-Flórez, Sandra Vergara-Cardozo, Roger Tovar-Falón
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/8/1419
Description
Summary:In this paper, an asymmetric regression model for censored non-negative data based on the centred exponentiated log-skew-normal and Bernoulli distributions mixture is introduced. To connect the discrete part with the continuous distribution, the logit link function is used. The parameters of the model are estimated by using the likelihood maximum method. The score function and the information matrix are shown in detail. Antibody data from a study of the measles vaccine are used to illustrate applicability of the proposed model, and it was found the best fit to the data with respect to an others models used in the literature.
ISSN:2073-8994