New Flexible Asymmetric Log-Birnbaum–Saunders Nonlinear Regression Model with Diagnostic Analysis

Vista sencilla de ítem
dc.contributor.authorGuillermo Martínez Flórez
dc.contributor.authorInmaculada Barranco Chamorro
dc.contributor.authorHéctor W. Gómez
dc.date.accessioned2026-03-25T13:53:17Z
dc.date.available2026-03-25T13:53:17Z
dc.date.issued2024
dc.description.abstractA nonlinear log-Birnbaum–Saunders regression model with additive errors is introduced. It is assumed that the error term follows a flexible sinh-normal distribution, and therefore it can be used to describe a variety of asymmetric, unimodal, and bimodal situations. This is a novelty since there are few papers dealing with nonlinear models with asymmetric errors and, even more, there are few able to fit a bimodal behavior. Influence diagnostics and martingale-type residuals are proposed to assess the effect of minor perturbations on the parameter estimates, check the fitted model, and detect possible outliers. A simulation study for the Michaelis–Menten model is carried out, covering a wide range of situations for the parameters. Two real applications are included, where the use of influence diagnostics and residual analysis is illustrated.
dc.description.sponsorshipSEMILLERO UA-2024 IOAP of the University of Seville, Spain FCB-06-22 Vice-rectorate for Research of the Universidad de Cordoba, Colombia FCB-06-22
dc.identifier.doi10.3390/axioms13090576
dc.identifier.issn20751680
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/676
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceAxioms
dc.titleNew Flexible Asymmetric Log-Birnbaum–Saunders Nonlinear Regression Model with Diagnostic Analysis
dc.typeArticle
oaire.citation.volume13
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
Archivos
Bloque original
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
Martinez-florez-2024-New-flexible-asymmetric-log-birnbau.pdf
Tamaño:
519.1 KB
Formato:
Adobe Portable Document Format
Descargar
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
1.71 KB
Formato:
Item-specific license agreed to upon submission
Descripción:
Descargar
Colecciones
Departamento de estadisticas y ciencia de datos