On the convergence of sums of independent Banach space valued random variables
From MaRDI portal
Publication:2533828
zbMath0177.45102MaRDI QIDQ2533828
Publication date: 1968
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Related Items
Convergence of path measures arising from a mean field or polaron type interaction ⋮ Non-Gaussian complex random fields, their skeletons and path measures ⋮ Probabilistic characterization of certain Banach spaces ⋮ A possible definition of a stationary tangent. ⋮ Stochastic integration in quasi-Banach spaces ⋮ Mean value theorems for the noncausal stochastic integral ⋮ Some new representations in bivariate exchangeability ⋮ On distribution free Skorokhod-Malliavin calculus ⋮ Some results on strong limit theorems for (LB)-space-valued random variables ⋮ Large deviations of regression parameter estimator in continuous-time models with sub-Gaussian noise ⋮ Random rotations of the Wiener path ⋮ Finite dimensional models for random microstructures ⋮ On Strassen's version of the law of the iterated logarithm for Gaussian processes ⋮ Exponential integrability of sub-Gaussian vectors ⋮ On fractional Brownian motion and wavelets ⋮ Derivation formulas of noncausal finite variation processes from the stochastic Fourier coefficients ⋮ Uniform comparison of tails of (non-symmetric) probability measures and their symmetrized counterparts with applications ⋮ The microlocal irregularity of Gaussian noise ⋮ Donsker's theorem in Wasserstein-1 distance ⋮ Functional contour regression ⋮ On conditioning Brownian particles to coalesce ⋮ Infinitely divisible and stable laws in separable Banach spaces. I ⋮ Noncausal calculus approach to Wong-Zakai's theorem on the approximation of SDE by physically realizable model ⋮ Monte Carlo estimates of extremes of stationary/nonstationary Gaussian processes ⋮ Diffusive limits of Lipschitz functionals of Poisson measures ⋮ Harmonic analysis meets stationarity: a general framework for series expansions of special Gaussian processes ⋮ Four finite dimensional (FD) surrogates for continuous random processes ⋮ Existence of the linear prediction for Banach space valued Gaussian processes ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Some bounds for the expected number of level crossings of symmetric harmonizable p-stable processes ⋮ On the uniform convergence of random series in Skorohod space and representations of càdlàg infinitely divisible processes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A family of stable measures in some Banach spaces ⋮ Unnamed Item ⋮ Complex random energy model: zeros and fluctuations ⋮ Marcinkiewicz-type strong laws for partially exchangeable arrays ⋮ Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion ⋮ On infinite series of independent Ornstein-Uhlenbeck processes ⋮ Various topologies in the Wiener space and Lévy's stochastic area ⋮ Some aspects of strong inversion formulas of an SFT ⋮ The billard theorem for multiple random Fourier series ⋮ Comparison of location models for stochastic processes ⋮ Unconditional convergence of functional series in problems of probability theory ⋮ An application of \(\varphi\)-subgaussian technique to Fourier analysis ⋮ The Itô-Nisio theorem, quadratic Wiener functionals, and 1-solitons ⋮ Weak Poincaré inequalities on domains defined by Brownian rough paths ⋮ On the structure of a \(\sigma\)-algebra of Borel sets and the convergence of certain stochastic series in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Quadratic Wiener functionals and dynamics on Grassmannians ⋮ Gaussian characterizations of certain Banach spaces ⋮ Martingale convergence, series expansion of Gaussian elements, and strong law of large numbers in Frechet spaces ⋮ Stochastic processes with independent increments, taking values in a Hilbert space ⋮ Functional limit theorems for U-statistics in the degenerate case ⋮ On complete convergence in mean for double sums of independent random elements in Banach spaces ⋮ Measurable linear transformations on abstract Wiener spaces ⋮ Non-anticipative representations of Banach space valued Gaussian processes with respect to Brownian motion ⋮ Some remarks on the strong law of large numbers for Banach-space valued weakly integrable random variables ⋮ Bounds for the expected number of level crossings of certain harmonizable infinitely divisible processes ⋮ Representation Formulae for the Fractional Brownian Motion ⋮ Strong laws of large numbers for double sums of Banach space valued random elements ⋮ Gaussian quasimartingales ⋮ Convergence of products of independent random variables with values in a discrete semigroup ⋮ On functionals of the Wiener process in a Banach space ⋮ Decomposable processes and continuous products of probability spaces ⋮ On the uniform integrability of the Radon-Nikodym densities for Wiener measure ⋮ Compactness of probability measures and the uniform convergence of certain stochastic series ⋮ Quelques propriétés de l’intégrale stochastique du type noncausal ⋮ Quelques propriétés de l’intégrale stochastique du type noncausal ⋮ Probability inequalities and tail estimates for metric semigroups ⋮ Recycled two-stage estimation in nonlinear mixed effects regression models ⋮ The notion of convexity and concavity on Wiener space ⋮ A weak stochastic integral in Banach space with application to a linear stochastic differential equation ⋮ Estimates of the rate of convergence of sums of independent random variables in a Banach space. II ⋮ The strong consistency of M-estimators in linear models ⋮ The Clark-Ocone formula for vector valued Wiener functionals ⋮ Ratio tests under limiting normality ⋮ Analysis on Wiener spaces. I: Nonlinear maps ⋮ An integral representation for selfdecomposable banach space valued random variables ⋮ An alternative approach to multiply self-decomposable probability measures on Banach spaces ⋮ A strengthened Orlicz-Pettis theorem via Itô-Nisio ⋮ On the compactness criterion for probability measures on Banach spaces ⋮ Convergence of finite dimensional distributions of heat kernel measures on loop groups ⋮ On the Besov regularity of the bifractional Brownian motion