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Abstract:

In this paper we generalize Huber's (1967) results to include the nonregular case. Resistant estimators which turn out to be asymptotically unbiased in a neighbourhood of the model are given for some univariate models. Their order of consistency achieves the rate of the maximum likelihood estimates. Moreover, some of the estimates are asymptotically efficient under the central model, in the sense that they have the same asymptotic distribution as the maximum likelihood estimate. © 1988 Biometrika Trust.

Registro:

Documento: Artículo
Título:On the asymptotic behaviour of general maximum likelihood estimates for the nonregular case under nonstandard conditions
Autor:Boente, G.; Fraiman, R.
Filiación:Conicet and Departamento de Matemática, Ciudad Universitaria, Buenos Aires, Argentina
Palabras clave:Asymptotic distribution; Maximum likelihood; Nonregular distribution; Order of consistency; Robust estimation
Año:1988
Volumen:75
Número:1
Página de inicio:45
Página de fin:56
DOI: http://dx.doi.org/10.1093/biomet/75.1.45
Título revista:Biometrika
Título revista abreviado:Biometrika
ISSN:00063444
CODEN:BIOKA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00063444_v75_n1_p45_Boente

Citas:

---------- APA ----------
Boente, G. & Fraiman, R. (1988) . On the asymptotic behaviour of general maximum likelihood estimates for the nonregular case under nonstandard conditions. Biometrika, 75(1), 45-56.
http://dx.doi.org/10.1093/biomet/75.1.45
---------- CHICAGO ----------
Boente, G., Fraiman, R. "On the asymptotic behaviour of general maximum likelihood estimates for the nonregular case under nonstandard conditions" . Biometrika 75, no. 1 (1988) : 45-56.
http://dx.doi.org/10.1093/biomet/75.1.45
---------- MLA ----------
Boente, G., Fraiman, R. "On the asymptotic behaviour of general maximum likelihood estimates for the nonregular case under nonstandard conditions" . Biometrika, vol. 75, no. 1, 1988, pp. 45-56.
http://dx.doi.org/10.1093/biomet/75.1.45
---------- VANCOUVER ----------
Boente, G., Fraiman, R. On the asymptotic behaviour of general maximum likelihood estimates for the nonregular case under nonstandard conditions. Biometrika. 1988;75(1):45-56.
http://dx.doi.org/10.1093/biomet/75.1.45