Length-biased data are a particular case of weighted data, which arise in many situations:
biomedicine, quality control or epidemiology among others. In this paper we study the …

In this paper we propose an automatic selection of the bandwidth of the recursive kernel
estimators of a probability density function defined by the stochastic approximation algorithm …

Starting from a real data example in fluorescence, the problem of nonparametric estimation
of a density in a biased data model is considered. Bias correction can be done in two ways …

The appearance of change-points in the biased density estimation process may worsen the
estimation effectiveness. To evaluate the density more accurately, we first detect the change …

In this paper, we consider the non-parametric estimation of the copula density under biased
data. The contributions are both theoretical and practical. In the first part, we propose and …

In this article, we present our method for multiwavelet estimation for a density function based
on random samples from a weighted distribution. First, we propose linear and nonlinear …

This paper develops a consistent estimator for coefficients of probability density functions
defined in Multiresolution Analysis Structures (MRD), and an algorithm based on the …

We propose a new wavelet-based method for density estimation when the data are size-
biased. More specifically, we consider a power of the density of interest, where this power …

The hazard rate order between two weighted distributions with a given weight function is
considered as a new stochastic order called weighted hazard rate order. The influences of …

Several adaptive methods to estimate a density from biased data are presented. Risk
bounds for the estimators are provided and an empirical study is performed to compare …