Comparison of optimal bandwidths for some density estimators

Density estimation is a classic problem and has been extensively studied in Statistics. In this paper we briefly review some usual density estimators as the histogram, the Averaged Shifted Histograms (ASH) and the kernel density estimator (Kde). We care in particular on the choice of the ba...

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Bibliographic Details
Author: Bourel, Mathias
Format: article
Status:Published version
Publication Date:2013
Country:Uruguay
Institution:Universidad de Montevideo
Repository:REDUM
Language:Spanish
OAI Identifier:oai:redum.um.edu.uy:20.500.12806/2512
Online Access:http://revistas.um.edu.uy/index.php/ingenieria/article/view/357
https://hdl.handle.net/20.500.12806/2512
Access Level:Open access
Keyword:Estimación densidad
Histograma
Estimación por núcleo
Density Estimation
Histogram
Kernel Density Estimation
Description
Summary:Density estimation is a classic problem and has been extensively studied in Statistics. In this paper we briefly review some usual density estimators as the histogram, the Averaged Shifted Histograms (ASH) and the kernel density estimator (Kde). We care in particular on the choice of the bandwidth of Kde which is a fundamental parameter of the model and greatly influences the prediction. We finished our work with a simulation comparing the described methods on a common set of densities.