Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Stopping Time Techniques for Analysts and Probabilists

Stopping Time Techniques for Analysts and Probabilists

Egghe, L.
Cassels, J. W. S.
Hitchin, N. J.

Paperback

Series: London Mathematical Society Lecture Note, Book 100

General MathematicsProbability & Statistics

ISBN10: 0521317150
ISBN13: 9780521317153
Publisher: Cambridge University Press
Published: Sep 27 1984
Pages: 368
Weight: 1.19
Height: 0.89 Width: 6.18 Depth: 9.04
Language: English
This book considers convergence of adapted sequences of real and Banach space-valued integrable functions, emphasizing the use of stopping time techniques. Not only are highly specialized results given, but also elementary applications of these results. The book starts by discussing the convergence theory of martingales and sub-( or super-) martingales with values in a Banach space with or without the Radon-Nikodym property. Several inequalities which are of use in the study of the convergence of more general adapted sequence such as (uniform) amarts, mils and pramarts are proved and sub- and superpramarts are discussed and applied to the convergence of pramarts. Most of the results have a strong relationship with (or in fact are characterizations of) topological or geometrical properties of Banach spaces. The book will interest research and graduate students in probability theory, functional analysis and measure theory, as well as proving a useful textbook for specialized courses on martingale theory.

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