Work

Power Truncated Positive Normal Distribution: A Quantile Regression Approach Applied to Health Databases

Year: 2024

Type: article

Abstract: In this paper we present a new extension of the truncated positive normal (TPN) model, called power truncated positive normal. This extension incorporates a shape parameter that provides more flexibility to the model. In addition, this new extension was reparameterized based on the p-th quantile of the distribution in order to perform quantile regression. The initial values were calculated from a modification of the moment estimators, which allowed the maximum likelihood estimators to be obtained. A simulation study was carried out which suggests good behavior of the maximum likelihood estimators in finite samples. Finally, two applications using health databases are presented.

Source: Axioms

DOI: 10.3390/axioms13120811

Authors: Karol I. Santoro, Héctor J. Gómez, Isaac E. Cortés, Tiago M. Magalhães, Diego I. Gallardo

Institutions: Universidad de Antofagasta, Universidad Católica de Temuco, Arturo Prat University, Universidade Federal de Juiz de Fora, University of Bío-Bío

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: gold

Estimated APC paid: $2,728