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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Detalhes bibliográficos
Autores: Gómez Villegas, Miguel Ángel, Main Yaque, Paloma, Sanz San Miguel, Luis, Navarro Veguillas, Hilario
Formato: artículo
Fecha de publicación:2004
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/49765
Acesso em linha:https://hdl.handle.net/20.500.14352/49765
Access Level:acceso abierto
Palavra-chave:5219.22
Hazard rate
p-value
Point null hypothesis
Tail-orderings
Estadística aplicada
Descrição
Resumo: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.