70 citations · 72 across the 3 of their papers we have counts for
4 papers
Quantifying the cost of simultaneous non-parametric approximation of several samples
A. Kovac, P. L. Davies
We consider the standard non-parametric regression model with Gaussian errors but where the data consist of different samples. The question to be answered is whether the samples ca…
Approximating Data with weighted smoothing Splines
P. L. Davies, M. Meise
Given a data set (t_i, y_i), i=1,..., n with the t_i in [0,1] non-parametric regression is concerned with the problem of specifying a suitable function f_n:[0,1] -> R such that the…
Nonparametric Regression, Confidence Regions and Regularization
P. L. Davies, A. Kovac, M. Meise
In this paper we offer a unified approach to the problem of nonparametric regression on the unit interval. It is based on a universal, honest and non-asymptotic confidence region w…
Densities, spectral densities and modality
P. Laurie Davies, Arne Kovac
This paper considers the problem of specifying a simple approximating density function for a given data set (x_1,...,x_n). Simplicity is measured by the number of modes but several…