Methodology in robust and nonparametric statistics

Nonparametric Statistics

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Deconvolution in nonparametric statistics

In this tutorial paper we give an overview of deconvolution problems in nonparametric statistics. First, we consider the problem of density estimation given a contaminated sample. We illustrate that the classical Rosenblatt-Parzen kernel density estimator is unable to capture the full shape of the density while the presented method experiences almost no problems. Second, we use the previous est...

Nonparametric Regression in Environmental Statistics

This article provides an introduction to the major types of nonparametric regression techniques, including kernel, spline and orthogonal projection methods. Practical aspects of the methods and their applicability in environmental statistics are emphasized through examples and discussion. Topics covered include bandwidth selection, non-parametric regression in multiple dimensions, and methods f...

Nonparametric statistics on manifolds

This article presents certain recent methodologies and some new results for the statistical analysis of probability distributions on manifolds. An important example considered in some detail here is the 2-D shape space of k-ads, comprising all configurations of k planar landmarks (k > 2)-modulo translation, scaling and rotation.

Nonparametric Statistics, ENAR