Valuación de la influencia local en un modelo lineal generalizado mediante el operador de horma

In this paper we develop an algorithm for assessing the effect of small perturbations of the data on the validity of a postulated generalized linear model. The procedure is based on the geometric notion of shape operator, a single mathematical object that gathers together all the normal curvatures of a given influence graph or hypersurface. In addition to introducing relevant theoretical notions and explaining the foundations of the local influence assessment method in a generalized linear model with a canonical link, we provide a detailed example of application together with the explicit $R$ code implementing the algorithm.

• Autores: Solanilla, Leonardo; Clavijo, Jairo; Sánchez, Alfonso; Zambrano, Alex J.
• Fecha de publicación: 2015
• Institución: Universidad Santo Tomás
• Repositorio: Universidad Santo Tomás
• Idioma: eng
• OAI Identifier: oai:repository.usta.edu.co:11634/39598
• Acceso en línea: https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1431; http://hdl.handle.net/11634/39598
• Palabra clave: diagnóstico; gráfica de influencia; influencia local; operador de horma; perturbación de los datos.
• License: http://purl.org/coar/access_right/c_abf2