Probability in Banach Spaces: Proceedings of the First International Conference on Probability in Banach Spaces, 20–26 July 1975, Oberwolfach

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Edition: 1

Series: Lecture Notes in Mathematics 526

ISBN: 9780387077932, 0-387-07793-6

Size: 2 MB (2038769 bytes)

Pages: 296/286

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Charles R. Baker (auth.), Anatole Beck (eds.)9780387077932, 0-387-07793-6


Table of contents :
Absolute continuity and applications to information theory….Pages 1-11
Cancellation in Banach spaces….Pages 13-20
On sequences invariant under spreading in Banach spaces….Pages 21-31
Vector-valued martingales and their applications….Pages 33-51
Algebraic models for Gaussian measures on Banach spaces….Pages 53-65
Evaluations de drocessus Gaussiens composes….Pages 67-83
Functional central limit theorems in Banach spaces….Pages 85-88
Strong laws of large numbers for independent sequences of Banach space-valued random variables….Pages 89-99
Some remarks on the central limit theorem in C(S)….Pages 101-106
What second-order lipschitz conditions imply the CLT?….Pages 107-111
Central limit theorem in a Banach space….Pages 113-130
The law of the iterated logarithm for Banach space valued random variables….Pages 131-142
Distribution theory on Banach space….Pages 143-156
A theorem on the rademacher series with vector valued coefficients….Pages 157-158
Central limit problem on L p (p≥2) I. Lévy-Khinchine representation….Pages 159-166
Some new results on central limit theorems for C(S)-valued random variables….Pages 167-186
Almost sure convergence of weighted sums of random elements in Banach spaces….Pages 187-202
Sur la loi du logarithme itere dans les espaces de Banach….Pages 203-210
Invariance principle for Banach space valued random variables and under random partitions….Pages 211-219
Banach support of a probability measure in a locally convex space….Pages 221-226
Weak laws of large numbers in Banach spaces and their extensions….Pages 227-242
Decomposability properties of probability measures on Banach spaces….Pages 243-251
A strong law of large numbers for orthogonal Banach space-valued random variables….Pages 253-262
On weak second order and Gaussian random elements….Pages 263-272
Asymptotic behavior of martingales in Banach spaces….Pages 273-284
Problems….Pages 285-290

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