Asymptotic relationships between posterior probabilities and p-values using the hazard rate

In this paper the asymptotic relationship between the classical p-value and the infimum (over all unimodal and symmetric distributions) of the posterior probability in the point null hypothesis testing problem is analyzed. It is shown that the ratio between the infimum and the classical p-value has...

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Detalles Bibliográficos
Autores: Gómez Villegas, Miguel Ángel, Main Yaque, Paloma, Sanz San Miguel, Luis, Navarro Veguillas, Hilario
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49765
Acceso en línea:https://hdl.handle.net/20.500.14352/49765
Access Level:acceso abierto
Palabra clave:5219.22
Hazard rate
p-value
Point null hypothesis
Tail-orderings
Estadística aplicada
Descripción
Sumario:In this paper the asymptotic relationship between the classical p-value and the infimum (over all unimodal and symmetric distributions) of the posterior probability in the point null hypothesis testing problem is analyzed. It is shown that the ratio between the infimum and the classical p-value has an equivalent asymptotic behavior to the hazard rate of the sample model.