Title | Probability in Banach Spaces, 9 [electronic resource] / edited by Jรธrgen Hoffmann-Jรธrgensen, James Kuelbs, Michael B. Marcus |
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Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0253-0 |
Descript | VII, 431 p. online resource |
Random Series, Exponential Moments, and Martingales -- Convergence a.s. of rearranged random series in Banach space and associated inequalities -- On the Rademacher series -- On separability of families of reversed submartingales -- Sharp exponential inequalities for the Martingales in the 2-smooth Banach spaces and applications to โscalarizingโ decoupling -- Strong Limit Theorems -- Random fractals generated by oscillations of processes with stationary and independent increments -- Some generalized Martingales arising from the strong law of large numbers -- Uniform ergodic theorems for dynamical systems under VC entropy conditions -- GB and GC sets in ergodic theory -- Weak Convergence -- On the central limit theorem for multiparameter stochastic processes -- Une caractรฉrisation des espaces de Frรฉchet nuclรฉaires -- A weighted central limit theorem for a function-indexed sum with random point masses -- On the rate of convergence in the CLT with respect to the Kantorovich metric -- Burgersโ topology on random point measures -- On the topological description of characteristic functionals in infinite dimensional spaces -- Large Deviations and Measure Inequalities -- Projective systems in large deviation theory II: some applications -- Some large deviation results for Gaussian measures -- A remark on the median and the expectation of convex functions of Gaussian vectors -- Comparison results for the small ball behavior of Gaussian random variables -- Some remarks on the Berg-Kesten inequality -- Gaussian Chaos and Wiener Measures -- On Girsanov type theorem for anticipative shifts -- A necessary condition for the continuity of linear functionals of Wick squares -- Multiple Wiener-Itรด integral processes with sample paths in Banach function spaces -- A remark on Sudakov minoration for chaos -- Topics in Empirical Processes, Spacing Estimates, and Applications to Maximum Likelihood Theory -- On the weak Bahadur-Kiefer representation for M-estimators -- Stochastic differentiability in maximum likelihood theory -- A uniform law of large numbers for set-indexed processes with applications to empirical and partial-sum processes -- Bahadur-Kiefer approximation for spatial quantiles -- Maximum spacing estimates: a generalization and improvement on maximum likelihood estimates I