New bandwidth selectors for kernel density estimation with directional data are presented in
this work. These selectors are based on asymptotic and exact error expressions for the …

This paper provides quantitative Central Limit Theorems for nonlinear transforms of
spherical random fields, in the high-frequency limit. The sequences of fields that we consider …

We consider the problem of estimating the covariance function of an isotropic Gaussian
stochastic field on the unit sphere using a single observation at each point of the discretized …

The purpose of the present paper is to investigate a class of spherical functional
autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage …

We investigate here a generalized construction of spherical wavelets/needlets which admits
extra-flexibility in the harmonic space, ie, it allows the corresponding support in multipole …

In this paper, quantitative central limit theorems for U-statistics on the q-dimensional torus
defined in the framework of the two-sample problem for Poisson processes are derived. In …

The aim of this paper is to establish rates of convergence to Gaussianity for wavelet
coefficients on circular Poisson random fields. This result is established by using the Stein …

The aim of this paper is to study nonparametric regression estimators on the sphere based
on needlet block thresholding. The block thresholding procedure proposed here follows the …

The aim of this paper is to define a nonlinear least squares estimator for the spectral
parameters of a spherical autoregressive process of order 1 in a parametric setting …

This paper is concerned with the estimation of the partial derivatives of a probability density
function of directional data on the d-dimensional torus within the local thresholding …