Modern Directional Statistics collects important advances in methodology and theory for
directional statistics over the last two decades. It provides a detailed overview and analysis …

Stochastic geometry is the branch of mathematics that studies geometric structures
associated with random configurations, such as random graphs, tilings and mosaics. Due to …

In this survey we collect some recent results regarding the Lipschitz–Killing curvatures
(LKCs) of the excursion sets of random eigenfunctions on the two-dimensional standard flat …

This paper deals with U-statistics of Poisson processes and multiple Wiener-It\^ o integrals
on the Poisson space. Via sharp bounds on the cumulants for both classes of random …

In this paper we obtain Berry–Esseén bounds on partial sums of functionals of heavy-tailed
moving averages, including the linear fractional stable noise, stable fractional ARIMA …

We prove tail and moment inequalities for multiple stochastic integrals on the Poisson space
and for Poisson $ U $-statistics. We use them to demonstrate the Law of the Iterated …

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 …

In this note, we prove a multidimensional counterpart of the central limit theorem on the free
Poisson chaos recently proved by Bourguin and Peccati (2014). A noteworthy property of …

In this paper, quantitative bounds in high-frequency central limit theorems are derived for
Poisson based $ U $-statistics of arbitrary degree built by means of wavelet coefficients over …

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 …