Moment bounds and central limit theorems for Gaussian subordinated arrays

in the (much simpler) case of random fields defined on the circle [19], Section 3, the condi- tions for the central limit theorem could be expressed in terms of convolutions of

These results can be obtained by using the regeneration method constructed via the splitting technique on returns to small sets. These methods typically require bounds for

Keywords: Mean central limit theorem; Wasserstein distance; Minimal distance; Martingale difference sequences; Strong mixing; Stationary sequences; Weak dependence; Rates

Keywords: Berry-Esseen bounds, Central Limit Theorem, non-homogeneous Markov chain, Hermite-Fourier decomposition, χ 2 -distance.. Mathematics Subject Classification (MSC2010):

The rate of convergence in Theorem 1.1 relies crucially on the fact that the inequality (E r ) incorporates the matching moments assumption through exponent r on the

We give two main results, which are necessary tools for the study of stability in section 3: we prove uniqueness, up to an additive constant, of the optimal transport

It is possible to develop an L 2 (µ) approach result similar to Corollary 3.4. Preliminary results for the kernel estimation.. Statistical applications: kernel estimation for

ont montré dans une étude portant sur 695 malades ayant eu une colectomie totale avec anastomose iléorectale, que le risque de décès par cancer du rectum était de 12,5 % à l’âge