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Model Theory of Stochastic Processes (Lecture Notes in Logic #14)

Sergio Fajardo H. Jerome Keisler



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A K Peters
01 January 2002
Probability & statistics; Stochastics
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.
By:   Sergio Fajardo, H. Jerome Keisler
Imprint:   A K Peters
Country of Publication:   United States
Volume:   No. 14
Dimensions:   Height: 229mm,  Width: 152mm, 
Weight:   363g
ISBN:   9781568811673
ISBN 10:   1568811675
Pages:   140
Publication Date:   01 January 2002
Audience:   College/higher education ,  Primary
Format:   Hardback
Publisher's Status:   Active
Dedication, Introduction, Chapter 1: Adapted Distributions, Chapter 2: Hyperfinite Adapted Spaces, Chapter 3: Saturated Spaces, Chapter 4: Comparing Stochastic Processes, Chapter 5: Definability in Adapted Spaces, Chapter 6: Elementary Extensions, Chapter 7: Rich Adapted Spaces, Chapter 8: Adapted Neometric Spaces, Chapter 9: Enlarging Saturated Spaces, References

Fajardo\, Sergio; Keisler\, H. Jerome

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