Titlebook: Probability in Banach Spaces, 8: Proceedings of the Eighth International Conference; Richard M. Dudley,Marjorie G. Hahn,James Kuelbs Confe

蒸发

行业

Conditional Versions of the Strassen-Dudley TheoremLet . be a random variable with values in a Polish space . and defined on a rich enough probability space (Ω, ., .). (This will be clarified later.) Let . and G be sub-σ-fields of . and let .(|.) be a regular conditional distribution on ., defined on (Ω, ., .) and measurable with respect to .

APEX

串通

轻推

https://doi.org/10.1007/978-1-4612-0367-4Brownian motion; Gaussian measure; Gaussian process; Markov process; Martingale; Random variable; distribu

思想灵活

CRACK

Sharp Bounds on the LP Norm of a Randomly Stopped Multilinear form with an Application to Wald’s Equationry we obtain optimal conditions for Wald’s equation for this multilinear form to hold. The bound obtained generalizes earlier work of (.) and (.). The techniques used include decoupling inequalities and the argument of subsequences.

暂时休息

The Poisson Counting Argument: A Heuristic for Understanding What Makes a Poissonized Sum Largeonstruct a function . (.) such that for some constant C. > 0 (independent of ., ., and .) and all real ., . Furthermore, . (.) is the usual exponential bound for . modified by a single datadriven truncation. Thus, for arbitrary Z, ., and ., the correct order of magnitude of . is obtainable essentially to within a factor of 2.

指耕作

Harridan

On Large Deviations of Gaussian Measures in Banach Spaces)γ(.), and a scalar product <, >. on . by . The completion of . with respect to the norm ∥.;∥. = √<. >. is denoted by H. and called the reproducing kernel Hilbert space of γ. Since .. can and will be viewed as a subset of . For details on the construction and properties of the reproducing kernel Hilbert space we refer the reader to [.] or [.].