TY  - BOOK
AU  - Egghe,L.
TI  - Stopping time techniques for analysts and probabilists
T2  - London Mathematical Society lecture note series
SN  - 9781107361324
AV  - QA274.5 .E37 1984eb
U1  - 519.2/87 22
PY  - 1984///
CY  - Cambridge [Cambridgeshire], New York
PB  - Cambridge University Press
KW  - Martingales (Mathematics)
KW  - Convergence
KW  - MATHEMATICS
KW  - Probability & Statistics
KW  - General
KW  - bisacsh
KW  - fast
KW  - Funktionalanalysis
KW  - gnd
KW  - Konvergenz
KW  - Martingal
KW  - Wahrscheinlichkeitsrechnung
KW  - Waarschijnlijkheid (statistiek)
KW  - gtt
KW  - Convergentie (wiskunde)
KW  - Martingales (mathématiques)
KW  - ram
KW  - Convergence (mathématiques)
KW  - swd
KW  - Electronic books
N1  - Includes bibliographical references (pages 333-343) and index
N2  - 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
UR  - http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552458
ER  -