scientific article

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

characteristic functionals covariance operators Bochner and Levy theorems on characteristic functionals

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items

Decision-making for stock trading based on trading probability by considering whole market movement ⋮ Approximation of linear functionals on a Banach space with a Gaussian measure ⋮ Probabilistic setting of information-based complexity ⋮ Construction and basic properties of Gaussian measures on Fréchet spaces ⋮ Complexity of approximation with relative error criterion in worst, average, and probabilistic settings ⋮ On average case complexity of linear problems with noisy information ⋮ Parametric estimation for the mean of a Gaussian process by the method of sieves ⋮ Testing linear operators -- an average case study ⋮ On local \(U\)-statistic processes and the estimation of densities of functions of several sample variables ⋮ Testing linear operators ⋮ Non-sequential weak supercyclicity and hypercyclicity ⋮ On adaption with noisy information ⋮ Canonical analysis of two Euclidean subspaces and its applications ⋮ Discrete analytic functions, structured matrices and a new family of moment problems ⋮ A stochastic analog to Chebyshev centers and optimal average case algorithms ⋮ Finite dimensional approximation to solutions of minimization problems in functional spaces ⋮ Existence of the linear prediction for Banach space valued Gaussian processes ⋮ Characteristic functionals of probabilistic measures in DS-groups and related topics ⋮ Recent developments in information-based complexity ⋮ A goodness-of-fit test for the compound Poisson exponential model ⋮ Integral global optimization method for differential games with application to pursuit-evasion games ⋮ On approximation of band-limited signals ⋮ A new weighted integral goodness-of-fit statistic for exponentiality ⋮ A study on the average case error of composite Newton-Cotes quadratures. ⋮ An asymptotic \(\alpha\)-test for the expectation of random fuzzy variables ⋮ Gaussian mean boundedness of densely defined linear operators ⋮ Quaternion-valued positive definite functions on locally compact abelian groups and nuclear spaces ⋮ Operator-decomposability of Gaussian measures on separable Banach spaces ⋮ Disintegration of Gaussian measures and average-case optimal algorithms ⋮ Measures of uncertainty and information in computation ⋮ Complexity of verification and computation for IBC problems ⋮ Average case complexity of linear multivariate problems. I: Theory ⋮ Unconditional convergence of functional series in problems of probability theory ⋮ Lattice rule algorithms for multivariate approximation in the average case setting ⋮ Empirical Hankel transforms and its applications to goodness-of-fit tests ⋮ One-dimensional analogue of the global optimality criterion ⋮ Stochastic differential equations in a Banach space driven by the cylindrical Wiener process ⋮ Nonsmooth nonconvex global optimization in a Banach space with a basis ⋮ Random fuzzy variables of second order and applications to statistical inference ⋮ Approximation characteristics for diagonal operators in different computational settings ⋮ Central limit theorems for weighted sums of exchangeable random elements in banach spaces⁽¹⁾ ⋮ A probabilistic analysis of linear operator testing ⋮ Average complexity for linear operators over bounded domains ⋮ Observability for regular processes ⋮ Positive definite functions and dual pairs of locally convex spaces ⋮ Carathéodory functions in the Banach space setting ⋮ Asymptotic Behavior of Gaussian Samples in Fréchet Spaces ⋮ A new characterization of the Gamma distribution and associated goodness-of-fit tests ⋮ Two-sample tests based on empirical Hankel transforms ⋮ On the average complexity of multivariate problems ⋮ Information of varying cardinality ⋮ Polynomial-time algorithms for multivariate linear problems with finite-order weights: Average case setting ⋮ Joint estimation of the mean and the covariance of a banach valued gaussian vector ⋮ Delayed curse of dimension for Gaussian integration ⋮ Universal consistency of delta estimators ⋮ The conditional expectation as estimator of normally distributed random variables with values in infinitely dimensional Banach spaces ⋮ Asymptotic expansions in the integral and local limit theorems in Banach spaces with applications to \(\omega\)-statistics