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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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