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A Basic Result on the Consistency of Maximum Likelihood Estimators
GRACIELA MARIA DE LOS DOLORES GONZALEZ FARIAS
Acceso Abierto
Atribución-NoComercial
Estimación
A sequence fXig of independent and identically distributed random objects is considered. The common distribution of the X i's is absolutely continuous with respect to a givenmeasure, and the corresponding density is not completely speciØed but depends on an unknown parameter. Under mild topological and continuity requirements, a necessary and su±cient crite- rion for the consistency of a sequence of maximum likelihood estimators is obtained. When this characterization is applied to the case in which the parameter belongs to a Ønite dimensional Euclidean space, the conclusion is that the sequence is consistent if and only if it is bounded with probability .1.
Centro de Investigación en Matemáticas AC
08-05-2007
Reporte
Inglés
Investigadores
ANÁLISIS MULTIVARIANTE
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Reportes Técnicos - Probabilidad y Estadística

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