Probability Theory on Vector Spaces IV: Proceedings of a Conference, Held in Lancut, Poland, June 10-17, 1987

ISBN-13: 9783540515487 / Angielski / Miękka / 1989 / 430 str.

Stamatis Cambanis; Aleksander Weron

Spis treści

Une forme générale de la loi forte des grands nombres pour des variables aléatoires vectorielles.- On some sufficient conditions for the existence of a consistent test in noncommutative statistics.- Lévy-Kchinchine formula on vector spaces.- A problem on rearrangements of summands in normed spaces and rademacher sums.- An extreme-sum approximation to infinitely divisible laws without a normal component.- An operator approach to processes on Lie groups.- Régularité de fonctions aléatoires Gaussiennes stationnaires à valeurs vectorielles.- L p multipliers in the central limit theorem with p-stable limit.- A universal law of the iterated logarithm for trimmed and censored sums.- On the decomposability group of a convolution semigroup.- Strong laws of large numbers for orthogonal sequences in von Neumann algebras.- Strong laws of large numbers for several contractions in a von Neumann algebra.- Linear supports and absolute continuity of certain random integrals.- Conditional moments for coordinates of stable vectors.- Appendix Multidimensional infinitely divisible variables and processes. Part I: Stable case.- Real translates of complex measures.- Banach space-valued Gleason measures on von Neumann algebras.- On the p-Lévy-Baxter property and its applications.- Notes on infinite dimensional stationary sequences.- Admissible and singular translates of stable processes.- An outline of the integration theory of banach space valued measures.- Norm dependent positive definite functions and measures on vector spaces.- On the convergence of weighted sums of martingale differences.- Density of the norm of translated stable vectors in Banach spaces.- Martingale approach to Boltzmann's entropy and exact transformations.- On the martingale central limit theorem in Banach spaces.- On series expansions of stochastic integrals.- Master equation for quantum oscillator with infinitely divisible noise.- On the convergence of the series ?Kn(Un-U?n).- On admissible translates of subgaussian stable measures.- An L1 extention of stochastic dynamics for irreversible systems.- Vector valued fourier series and sample continuity of random processes.- Singular integrals and second-order stationary sequences.- On the difference of Gaussian measure of two balls in Hilbert spaces.- Brownian sheets in a locally pseudoconvex metric linear space.