Open Journal of Statistics
Volume 3, Issue 3 (June 2013)
ISSN Print: 2161-718X ISSN Online: 2161-7198
Google-based Impact Factor: 0.53 Citations
Strong Consistency of Kernel Regression Estimate ()
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ABSTRACT
In this paper, regression function estimation from independent and identically distributed data is considered. We establish strong pointwise consistency of the famous Nadaraya-Watson estimator under weaker conditions which permit to apply kernels with unbounded support and even not integrable ones and provide a general approach for constructing strongly consistent kernel estimates of regression functions.
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