A characterization of Gaussian measures on Banach spaces
A Note on Functions Which Separate Gaussian Measures.
A survey on the general central limit problem in Banach spaces
Again on the weak law in martingale type p Banach spaces.
Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
Approximation of homogeneous measures in the 2-Wasserstein metric.
Atomes et lois indéfiniment divisibles dans un espace vectoriel
Bernstein inequality for the parameter of the pth order autoregressive process AR(p)
The autoregressive process takes an important part in predicting problems leading to decision making. In practice, we use the least squares method to estimate the parameter θ̃ of the first-order autoregressive process taking values in a real separable Banach space B (ARB(1)), if it satisfies the following relation: . In this paper we study the convergence in distribution of the linear operator for ||θ̃|| > 1 and so we construct inequalities of Bernstein type for this operator.
Caractérisation d’une classe d’ensembles convexes de ou
Caractérisation d'une solution optimale au problème de Monge-Kantorovitch
Complete convergence for weighted sums of arrays of random elements.
Complete convergence in mean for double arrays of random variables with values in Banach spaces
The rate of moment convergence of sample sums was investigated by Chow (1988) (in case of real-valued random variables). In 2006, Rosalsky et al. introduced and investigated this concept for case random variable with Banach-valued (called complete convergence in mean of order ). In this paper, we give some new results of complete convergence in mean of order and its applications to strong laws of large numbers for double arrays of random variables taking values in Banach spaces.
Complete convergence of weighted sums in Banach spaces and the bootstrap mean.
Completely stable measures on Hilbert spaces
Composition of independent stochastic variables
Concentration inequalities for s-concave measures of dilations of Borel sets and applications.
Conditions d'entropie assurant la continuité de certains processus et applications à l'analyse harmonique
Convergence des martingales pluri-sous-harmoniques vectorielles à deux indices
Convergent rearrangements of series of vector-valued functions.
Correction to the paper: "A theorem on joint probability distributions in stochastic locally convex linear topological spaces''