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Titlebook: Nonparametric Functional Estimation and Related Topics; George Roussas Book 1991 Springer Science+Business Media Dordrecht 1991 Estimator.

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Analysis of Samples of Curvesd its asymptotic performance is evaluated. Briefly, we describe an alternative method which tries to determine the underlying model from the data (“Self-modeling, nonlinear regression”). It is more difficult to apply, needing in particular more apriori knowledge.
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Bootstrap Methods in Nonparametric Regressionnd questions one has in mind. An interesting variant that we consider more closely is called the .. This technique has been used for construction of confidence bands and for comparison with competing parametric models.
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On the Influence Function of Maximum Penalized Likelihood Density Estimators.s a smoothing and p ∈ [0, 1] a non-linearity parameter. The strong consistency of these estimates, in various metrics — including a Sobolev, supremum over ℝ and Hellinger — can be established in a unified manner. The problem of the numerical evaluation of the estimates is also addressed.
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