Minimum quadratic distance density estimation using nonparametric mixtures
| Autor: | Chew-Seng Chee, Yong Wang |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Statistics and Probability
Applied Mathematics Nonparametric statistics Estimator Density estimation Multivariate kernel density estimation Nonparametric regression Computational Mathematics Computational Theory and Mathematics Variable kernel density estimation Kernel (statistics) Statistics Statistics::Methodology Mixture distribution Mathematics |
| Zdroj: | Computational Statistics & Data Analysis. 57:1-16 |
| ISSN: | 0167-9473 |
| DOI: | 10.1016/j.csda.2012.06.004 |
| Popis: | Quadratic loss is predominantly used in the literature as the performance measure for nonparametric density estimation, while nonparametric mixture models have been studied and estimated almost exclusively via the maximum likelihood approach. In this paper, we relate both for estimating a nonparametric density function. Specifically, we consider nonparametric estimation of a mixing distribution by minimizing the quadratic distance between the empirical and the mixture distribution, both being smoothed by kernel functions, a technique known as double smoothing. Experimental studies show that the new mixture-based density estimators outperform the popular kernel-based density estimators in terms of mean integrated squared error for practically all the distributions that we studied, thanks to the substantial bias reduction provided by nonparametric mixture models and double smoothing. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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