James Kuelbs
University of Wisconsin-Madison
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Publication
Featured researches published by James Kuelbs.
Journal of Multivariate Analysis | 1973
James Kuelbs
We extend the invariance principle to triangular arrays of Banach space valued random variables, and as an application derive the invariance principle for lattices of random variables. We also point out how the q-dimensional time parameter Yeh-Wiener process is naturally related to a one dimensional time Wiener process with an infinite dimensional Banach space as a state space.
Probability Theory and Related Fields | 1994
James Kuelbs; Wenbo V. Li; Werner Linde
SummaryLet μ be a centered Gaussian measure on a Hilbert spaceH and let
Probability Theory and Related Fields | 1991
Victor Goodman; James Kuelbs
Journal of Theoretical Probability | 1995
James Kuelbs; Wenbo V. Li; Qi-Man Shao
B_R \subseteq H
Probability Theory and Related Fields | 1983
A. Acosta; James Kuelbs
Journal of Functional Analysis | 1973
James Kuelbs
be the centered ball of radiusR>0. Fora∈H and
Journal of Theoretical Probability | 1993
James Kuelbs; Wenbo V. Li
Journal of Theoretical Probability | 1991
Victor Goodman; James Kuelbs
\mathop {\lim }\limits_{t{\mathbf{ }} \to {\mathbf{ }}\infty } {\mathbf{ }}R(t)/t< {\mathbf{ }}||a||
Probability Theory and Related Fields | 1987
James Kuelbs; M. Ledoux
Annals of Statistics | 2010
James Kuelbs; Anand N. Vidyashankar
, we give the exact asymptotics of μ(BR(t)+t·a) ast→∞. Also, upper and lower bounds are given when μ is defined on an arbitrary separable Banach space. Our results range from small deviation estimates to large deviation estimates.