Minimum-Entropy, PDF Approximation, and Kernel Selection for Measurement Estimation

The purpose of this paper is to investigate the selection of an appropriate kernel to be used in a recent robust approach called minimum-entropy estimator (MEE). This MEE estimator is extended to measurement estimation and pdf approximation when p(e) is unknown. The entropy criterion is constructed...

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Detalles Bibliográficos
Autores: De la Rosa Vargas, José Ismael, Fleury, Gilles, Davoust, Marie Eve
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:México
Institución:Universidad Autónoma de Zacatecas
Repositorio:Repositorio Institucional Caxcán
Idioma:inglés
OAI Identifier:oai:http://ricaxcan.uaz.edu.mx:20.500.11845/1646
Acceso en línea:http://ricaxcan.uaz.edu.mx/jspui/handle/20.500.11845/1646
https://doi.org/10.48779/7w3h-8v75
Access Level:acceso abierto
Palabra clave:INGENIERIA Y TECNOLOGIA [7]
Bootstrap
indirect measurement
Monte Carlo simulation
nonlinear regression
nonparametric PDF estimation
Descripción
Sumario:The purpose of this paper is to investigate the selection of an appropriate kernel to be used in a recent robust approach called minimum-entropy estimator (MEE). This MEE estimator is extended to measurement estimation and pdf approximation when p(e) is unknown. The entropy criterion is constructed on the basis of a symmetrized kernel estimate p_hat (e) of p(e). The MEE performance is generally better than the Maximum Likelihood (ML) estimator. The bandwidth selection procedure is a crucial task to assure consistency of kernel estimates. Moreover, recent proposed Hilbert kernels avoid the use of bandwidth, improving the consistency of the kernel estimate. A comparison between results obtained with normal, cosine and Hilbert kernels is presented.