A Comparison of Cross-Validation Techniques in Density Estimation
نویسندگان
چکیده
منابع مشابه
@bullet a Comparison of Cross-validation Techniques in Density Estimation! (comparison in Density Estimation)
• • ~~~~~~ In the setting of nonparametric multivariate density estimation, theorems are established which allow a comparison of the Kullback-Leibler and the Least Squares cross-validation methods of smoothing parameter selection. The family of delta sequence estimators (including kernel, orthogonal series, histogram and histospline estimators) is considered. These theorems also show that eithe...
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The problem of model selection by cross-validation is addressed in the density estimation framework. Extensively used in practice, cross-validation (CV) remains poorly understood, especially in the non-asymptotic setting which is the main concern of this work. A recurrent problem with CV is the computation time it involves. This drawback is overcome here thanks to closed-form expressions for th...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1987
ISSN: 0090-5364
DOI: 10.1214/aos/1176350258