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Abstract:

In this paper, we propose estimators based on the minimum distance for the unknown parameters of a parametric density on the unit sphere. We show that these estimators are consistent and asymptotically normally distributed. Also, we apply our proposal to develop a method that allows us to detect potential atypical values. The behavior under small samples of the proposed estimators is studied using Monte Carlo simulations. Two applications of our procedure are illustrated with real data sets. © Springer-Verlag Berlin Heidelberg 2017.

Registro:

Documento: Artículo
Título:Minimum distance method for directional data and outlier detection
Autor:Sau, M.F.; Rodriguez, D.
Filiación:Ciclo Básico Común, Universidad de Buenos Aires, Buenos Aires, Argentina
Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
CONICET, Buenos Aires, Argentina
Palabras clave:Asymptotic properties; Directional data; Outlier detection; Robust estimation; Data handling; Intelligent systems; Normal distribution; Statistics; Asymptotic properties; Directional data; Minimum distance; Outlier Detection; Real data sets; Robust estimation; Small samples; Unit spheres; Monte Carlo methods
Año:2018
Volumen:12
Número:3
Página de inicio:587
Página de fin:603
DOI: http://dx.doi.org/10.1007/s11634-017-0287-9
Título revista:Advances in Data Analysis and Classification
Título revista abreviado:Adv. Data Anal. Classif.
ISSN:18625347
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18625347_v12_n3_p587_Sau

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Citas:

---------- APA ----------
Sau, M.F. & Rodriguez, D. (2018) . Minimum distance method for directional data and outlier detection. Advances in Data Analysis and Classification, 12(3), 587-603.
http://dx.doi.org/10.1007/s11634-017-0287-9
---------- CHICAGO ----------
Sau, M.F., Rodriguez, D. "Minimum distance method for directional data and outlier detection" . Advances in Data Analysis and Classification 12, no. 3 (2018) : 587-603.
http://dx.doi.org/10.1007/s11634-017-0287-9
---------- MLA ----------
Sau, M.F., Rodriguez, D. "Minimum distance method for directional data and outlier detection" . Advances in Data Analysis and Classification, vol. 12, no. 3, 2018, pp. 587-603.
http://dx.doi.org/10.1007/s11634-017-0287-9
---------- VANCOUVER ----------
Sau, M.F., Rodriguez, D. Minimum distance method for directional data and outlier detection. Adv. Data Anal. Classif. 2018;12(3):587-603.
http://dx.doi.org/10.1007/s11634-017-0287-9