Behavior of the Wasserstein distance between the empirical and the marginal distributions of stationary α-dependent sequences

Inspired by Friedrich Engels’ 1844 book, The Condition of the Working Class in England, our film attempted to explore the continuing relevance of Engels’ class analysis for

Abstract: We established the rate of convergence in the central limit theorem for stopped sums of a class of martingale difference sequences.. Sur la vitesse de convergence dans le

Since every separable Banach space is isometric to a linear subspace of a space C(S), our central limit theorem gives as a corollary a general central limit theorem for separable

We established the rate of convergence in the central limit theorem for stopped sums of a class of martingale difference sequences..  2004

and identically distributed B-valued random variables where (B, ~ ~.. CENTRAL LIMIT THEOREM FOR EMPIRICAL PROCESSES 417. Then 6. 3 follows from collecting the almost

The results and the proof will be given in the two settings of a smooth Riemannian manifold and of a more general metric measure space, more precisely in the setting introduced in [ 6

In Section 7 we study the asymptotic coverage level of the confidence interval built in Section 5 through two different sets of simulations: we first simulate a

Proposition 5.1 of Section 5 (which is the main ingredient for proving Theorem 2.1), com- bined with a suitable martingale approximation, can also be used to derive upper bounds for