Modelos log-simétricos com fração de cura

Detalhes bibliográficos
Ano de defesa: 2018
Autor(a) principal: Rocha, Joyce Bezerra
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Brasil
UFRN
PROGRAMA DE PÓS-GRADUAÇÃO EM MATEMÁTICA APLICADA E ESTATÍSTICA
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: https://repositorio.ufrn.br/jspui/handle/123456789/25823
Resumo: Long-term models are of great interest in statistical modeling that involves time-to-event data in which a fraction of the population is immune to this event. For these models, also known as cure fraction models, there are in the literature several proposals considering parametric aproach. We propose and study properties of the long-term model considering that the distributions of lifetimes of the susceptible individuals belong to the logsymmetric class of distributions. This class is characterized by continuous, strictly positive and asymmetric distributions including distributions such as log-t-Student, log-logistic I, log-logistic II, log-normal-contaminated, log-exponential-power, log-slash, among others. The log-symmetric class is quite exible to include bimodal distributions and t dataset with outlying observations. In this model, here called the log-symmetric model with cure rate, the explanatory variables are included through the parameter associated with the cure fraction. We evaluate the performance of the proposed model through extensive simulation studies and consider an application to real data in a study to identify factors which in uence the immunity of leprosy reactions in patients with leprosy.