Model Theory of Stochastic Processes: Lecture Notes in Logic 14, 1st Edition (Hardback) book cover

Model Theory of Stochastic Processes

Lecture Notes in Logic 14, 1st Edition

By Sergio Fajardo, H. Jerome Keisler

A K Peters/CRC Press

140 pages

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Hardback: 9781568811673
pub: 2002-01-01
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Description

This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis. The construction of spaces with certain richness properties, defined by insights from model theory, becomes easy using nonstandard methods, but remains difficult or impossible without them.

Subject Categories

BISAC Subject Codes/Headings:
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis