Refinamentos de testes na classe dos modelos não-lineares simétricos heteroscedásticos

In this thesis, we deal with improvement for hypotheses tests in heteroscedastic symmetric nonlinear models. First, we derive Bartlett adjustments for likelihood ratio statistics and modified profile likelihood ratio statistics in order to improve likelihood ratio and modified profile likelihood rat...

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Detalles Bibliográficos
Autor: Mariana Correia de Araujo
Tipo de recurso: tesis doctoral
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Institución:Universidade Federal de Minas Gerais (UFMG)
Repositorio:Repositório Institucional da UFMG
Idioma:portugués
OAI Identifier:oai:repositorio.ufmg.br:1843/BUBD-A4NJ3G
Acceso en línea:http://hdl.handle.net/1843/BUBD-A4NJ3G
Access Level:acceso abierto
Palabra clave:Correção de Bartlett
Correção tipo-Bartlett
Poder local
Verossimilhança perfilada
Testes de hip
Modelos não-lineares simétricos heteroscedásticos
Verossimilhança perfilada modificada
Estatística gradiente
Estatística
Modelos não lineares (Estatistica)
Metodos do gradiente conjugado
Verossimilhança (Estatística)
Descripción
Sumario:In this thesis, we deal with improvement for hypotheses tests in heteroscedastic symmetric nonlinear models. First, we derive Bartlett adjustments for likelihood ratio statistics and modified profile likelihood ratio statistics in order to improve likelihood ratio and modified profile likelihood ratio tests, respectively. Next, we calculate a type-Bartlett adjustment to improve the gradient test, a new hypotheses test proposed by Terrell (2002) which is asymptotically equivalent to likelihood ratio, Wald and score tests. We also treat about the local power of likelihood ratio, Wald, score and gradient tests in heteroscedastic symmetric nonlinear models. For each approach, we develop a Monte Carlo simulation study in order to evaluate the performance of the tests in finite-size samples.