Boularan, Joël; Ferré, Louis; Vieu, Philippe Location of particular points in non-parametric regression analysis. (English) Zbl 0838.62023 Aust. J. Stat. 37, No. 2, 161-168 (1995). 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. Cited in 7 Documents MSC: 62G07 Density estimation Keywords:smoothing; adaptive kernel methods; extrema; random-design nonparametric regression; stochastic modes of convergence; rate of convergence; zeros; nonparametric absolute calibration PDFBibTeX XMLCite \textit{J. Boularan} et al., Aust. J. Stat. 37, No. 2, 161--168 (1995; Zbl 0838.62023) Full Text: DOI