Robust minimum information loss estimation

• Autores: Lind, John C.; Wiens, Douglas P.; Yohai, Victor Jaime
• Año de publicación: 2013
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Breakdown; Covariance Cross-Spectrum Matrix; Electroencephalogram Recording; Minimum Covariance Determinant; Trimmed Minimum Information Loss Estimate
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

Two robust estimators of a matrix-valued location parameter are introduced and discussed. Each is the average of the members of a subsample–typically of covariance or cross-spectrum matrices–with the subsample chosen to minimize a function of its average. In one case this function is the Kullback–Leibler discrimination information loss incurred when the subsample is summarized by its average; in the other it is the determinant, subject to a certain side condition. For each, the authors give an efficient computing algorithm, and show that the estimator has, asymptotically, the maximum possible breakdown point. The main motivation is the need for efficient and robust estimation of cross-spectrum matrices, and they present a case study in which the data points originate as multichannel electroencephalogram recordings but are then summarized by the corresponding sample cross-spectrum matrices.
Fil: Lind, John C.. Alberta Hospital Edmonton; Canadá
Fil: Wiens, Douglas P.. University of Alberta; Canadá
Fil: Yohai, Victor Jaime. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina