Uniform in bandwidth consistency of kernel-type function estimators
classification
🧮 math.ST
stat.TH
keywords
bandwidthconsistencyestimatorsfunctionkernel-typeuniformestimatorconditional
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We introduce a general method to prove uniform in bandwidth consistency of kernel-type function estimators. Examples include the kernel density estimator, the Nadaraya-Watson regression estimator and the conditional empirical process. Our results may be useful to establish uniform consistency of data-driven bandwidth kernel-type function estimators.
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