Río Bueno , Manuel delDelicado, Pedro2023-06-202023-06-2019970361-092610.1080/03610929708832089https://hdl.handle.net/20.500.14352/57793In the fixed design regression model, additional weights are considered for the Nadaraya-Watson and Gasser-Muller kernel estimators. We study their asymptotic behavior and the relationships between new and classical estimators. For a simple family of weights, and considering the AIMSE as global loss criterion, we show some possible theoretical advantages. An empirical study illustrates the performance of the weighted kernel estimators in theoretical ideal situations and in simulated data sets. Also some results concerning the use of weights for local polynomial estimators are given.journal articlemetadata only access519.8Asymptotic behaviorFixed designKernel regressionLocal polynomial estimatorsSmoothingEstimatorsInvestigación operativa (Matemáticas)1207 Investigación Operativa