Probability Theory on Vector Spaces

Proceedings, Trzebieszowice, Poland, September 1977

A. Weron (Herausgeber)

Buch | Softcover
VI, 274 Seiten
1978 | 1978
Springer Berlin (Verlag)
978-3-540-08846-2 (ISBN)

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Probability Theory on Vector Spaces -
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Some results concerning gaussian measures on metric linear spaces.- Singularity and absolute continuity of measures in infinite dimensional spaces.- A counter-example concerning CLT in banach spaces.- Random functions and orlicz's method regularity of paths and limit properties.- Remarks on positive definite operator valued functions in linear spacès.- Mixtures of gaussian cylinder set measures and abstract wiener spaces as models for detection of signals imbedded in noise.- On gaussian measures and the central limit theorem in certain f-spaces.- On the spectral mixing theorem for some classes of banach spaces and for the numerical contractions on hilbert spaces.- Intersection of the classes of s-selfdecomposable and s-semi-stable distributions.- Propagators and dilations.- On minimality of infinite dimensional stationary stochastic processes.- On the factorization of a nonnegative operator valued function.- Dissipative random processes.- Examples of non-stationary banach space valued stochastic processes of second order.- Prediction theory for non-stationary sequences of random vectors.- An inequality for the semi-martingales application to stochastic differential equations.- The order of approximation in the random central limit theorem.- Banach-space valued stationary processes with absolutely continuous spectral function.- Apropos of professor Masani's talk.- Boundedness and convergence of banach lattice valued submartingales.- Multiplicity theory for random fields using quantum mechanical methods.

Erscheint lt. Verlag 1.6.1978
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo VI, 274 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 408 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte abstract Wiener space • Gaussian measure • Martingale • Mixing • Probability • Probability Theory • random function • Stochastic process • Stochastic Processes • Vector • Vektorraum • Wahrscheinlichkeitsrechnung
ISBN-10 3-540-08846-6 / 3540088466
ISBN-13 978-3-540-08846-2 / 9783540088462
Zustand Neuware
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