Empirical phi-divergence test statistics for the difference of means of two populations

Empirical phi-divergence test statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behavior of the classical likelihood ratio test statistic, as well as for model misspecification problems, in both cases for the one population problem. This...

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Detalles Bibliográficos
Autores: Balakrishnan, N., Martin, N., Pardo Llorente, Leandro
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:español
OAI Identifier:oai:docta.ucm.es:20.500.14352/17865
Acceso en línea:https://hdl.handle.net/20.500.14352/17865
Access Level:acceso abierto
Palabra clave:519.22
Empirical likelihood
Empirical phi-divergence test statistics
Phi-divergence measures
Power function
Estadística matemática (Matemáticas)
1209 Estadística
Descripción
Sumario:Empirical phi-divergence test statistics have demostrated to be a useful technique for the simple null hypothesis to improve the finite sample behavior of the classical likelihood ratio test statistic, as well as for model misspecification problems, in both cases for the one population problem. This paper introduces this methodology for two-sample problems. A simulation study illustrates situations in which the new test statistics become a competitive tool with respect to the classical z test and the likelihood ratio test statistic.