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Location of particular points in non-parametric regression analysis. (English) Zbl 0838.62023

Summary: In the random-design nonparametric regression model, the locations of particular values of the regression function or its derivatives are estimated. This paper investigates several stochastic modes of convergence and finds their rate of convergence under regularity assumptions, for a wide class of nonparametric estimators. The approach finds two natural fields of application: estimation of zeros/extrema and nonparametric absolute calibration.

MSC:

62G07 Density estimation
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