On the asymptotic properties of smoothed estimators of the classification error rate
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Publication:1102667
DOI10.1016/0031-3203(88)90010-6zbMath0644.62069OpenAlexW1973909898WikidataQ118592631 ScholiaQ118592631MaRDI QIDQ1102667
Publication date: 1988
Published in: Pattern Recognition (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0031-3203(88)90010-6
consistencyefficiencyasymptotic theorynormal distributionsVapnik-Chervonenkis classesresubstitution methodrelative deficiencyclassification error rate counting estimatesmoothed correction
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Cites Work
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- Smoothed additive estimators for non-error rates in multiple discriminant analysis
- Some special Vapnik-Chervonenkis classes
- Bounds for the uniform deviation of empirical measures
- Estimation of dependences based on empirical data. Transl. from the Russian by Samuel Kotz
- Additive estimators for probabilities of correct classification
- Central limit theorems for empirical measures
- Estimation of the probabilities of misclassification for a linear discriminant function in the univariate normal case
- Relative efficiency and deficiency of kernel type estimators of smooth distribution functions
- Almost sure convergence of classification procedures using Hermite series density estimates
- Common Structure of Smoothing Techniques in Statistics
- Assessing the performance of an allocation rule
- Necessary and sufficient conditions for Bayes risk consistency of a recursive kernel classification rule (Corresp.)
- On the Inequality of Cover and Hart in Nearest Neighbor Discrimination
- Bibliography on estimation of misclassification
- Nonparametric estimates of probability densities
- A distribution-free performance bound in error estimation (Corresp.)
- Distribution-free performance bounds with the resubstitution error estimate (Corresp.)
- Sample-based classification procedures related to empiric distributions
- Probability Inequalities for Sums of Bounded Random Variables
- Enumeration of Seven-Argument Threshold Functions
- Deficiency
- On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
- Relations between Weak and Uniform Convergence of Measures with Applications
