Estimates of Hellinger integrals of infinitely divisible distributions
Estimation and tests of the discrete probability law based on the empirical generating function, (two dimensional case).
Estimations de la fonction maximale de Hardy-Littlewood
On montre que la fonction maximale de Hardy-Littlewood est de type sur certains groupes de Lie et variétés de Cartan-Hadamard.
Étude de deux évolutions markoviennes de processus ponctuels sur R par des méthodes d'association
Étude du renouvellement sur le groupe affine de la droite réelle
Étude probabiliste des transformées de Riesz et de l’espace sur les sphères
Euclidean distances on signed measures and application to Berry-Esséen theorems. (Distances euclidiennes sur les mesures signées et application à des théorèmes de Berry-Esséen.)
Examples of convergence and non-convergence of Markov chains conditioned not to die.
Exemples de théorèmes locaux sur les groupes résolubles
Existence of Conditional Probabilities.
Existence of Sufficient Regular Conditional Probabilities.
Expectation, conditional expectation and martingales in local fields.
Exponentielle stochastique et intégrale multiplicative discontinues
Extremal and optimal solutions in the transshipment problem
The paper yields an investigation of the set of all finite measures on the product space with given difference of marginals. Extremal points of this set are characterized and constructed. Sets of uniqueness are studied in the relation to marginal problem. In the optimization problem the support of the optimal measure is described for a class of cost functions. In an example the optimal value is reached by an unbounded sequence of measures.
Extremal solutions of a general marginal problem
The characterization of extremal points of the set of probability measures with given marginals is given in the general context of a marginal system. The sets of marginal uniqueness are studied and an example is added to illustrate the theory.
Factorisation d'opérateurs aléatoires, d'après Benyamini et Gordon
Factorization of the Green's operator and weak-type estimates for a random walk on a tree.
Factorization through Hilbert space and the dilation of L(X,Y)-valued measures
We present a general necessary and sufficient algebraic condition for the spectral dilation of a finitely additive L(X,Y)-valued measure of finite semivariation when X and Y are Banach spaces. Using our condition we derive the main results of Rosenberg, Makagon and Salehi, and Miamee without the assumption that X and/or Y are Hilbert spaces. In addition we relate the dilation problem to the problem of factoring a family of operators through a single Hilbert space.
Factors and Roots of Large Measures on Connected Lie Groups.
Factors, Roots and Embeddability of Measures on Lie Groups.