Baire category in spaces of probability measures
Baire category in spaces of probability measures, II
Barycentre canonique pour un espace métrique à courbure négative
Bernouilli and Gibbs Probabilities of Subgroups of {0, 1} s.
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.
Best possible sufficient conditions for strong law of large numbers for multi-indexed orthogonal random elements.
Betti numbers of random real hypersurfaces and determinants of random symmetric matrices
We asymptotically estimate from above the expected Betti numbers of random real hypersurfaces in smooth real projective manifolds. Our upper bounds grow as the square root of the degree of the hypersurfaces as the latter grows to infinity, with a coefficient involving the Kählerian volume of the real locus of the manifold as well as the expected determinant of random real symmetric matrices of given index. In particular, for large dimensions, these coefficients get exponentially small away from...
Billingsley-type tightness criteria for multiparameter stochastic processes
Bivariate copulas: Transformations, asymmetry and measures of concordance
The present paper introduces a group of transformations on the collection of all bivariate copulas. This group contains an involution which is particularly useful since it provides (1) a criterion under which a given symmetric copula can be transformed into an asymmetric one and (2) a condition under which for a given copula the value of every measure of concordance is equal to zero. The group also contains a subgroup which is of particular interest since its four elements preserve symmetry, the...
Bocce criterion and convergence in Pettis norme in . (Critère de Bocce et convergence en norm de Pettis dans .)
Bochner property in Banach spaces
Book Reviews - Decomposition and Invariance of Measures, and Statistical Transformation Models.
Boolean powers and stochastic spaces
Borel semigroups and probabilities.
Bornes inférieures pour les marches aléatoires sur les groupes p-adiques moyennables
Branching Semigroups on Banach Lattices.
Brownian motion and transient groups
In this paper I consider a covering of a Riemannian manifold . I prove that Green’s function exists on if any and only if the symmetric translation invariant random walks on the covering group are transient (under the assumption that is compact).
Brownian motion, approximation of functions, and Fourier analysis