Abstract
In this chapter asymptotic properties of certain functions of non parametric estimators of a probability density of types 1.1.1 and 1.2.1 are studied. In particular in this and in the succeeding three sections we shall investigate properties of the non parametric estimators rn(x) of the regression curve r(x) which was introduced and studied by the author in [21]. Interest in this estimator has been constantly growing and many interesting results were obtained in the USSR as well as abroad (cf., for example, [10], [16], [22], [23], etc.).
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© 1989 Kluwer Academic Publishers
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Nadaraya, E.A. (1989). Nonparametric Estimation of Regression Curves and Components of a Convolution. In: Nonparametric Estimation of Probability Densities and Regression Curves. Mathematics and its Applications (Soviet Series), vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2583-0_5
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DOI: https://doi.org/10.1007/978-94-009-2583-0_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7667-8
Online ISBN: 978-94-009-2583-0
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