Stopping Times and Directed Processes - Couverture souple

Edgar, G

Couverture souple

ISBN 10 : 0521135087 ISBN 13 : 9780521135085

Editeur : Cambridge University Press, 2010

Synopsis

The notion of 'stopping times' is a useful one in probability theory; it can be applied to both classical problems and fresh ones. This book presents this technique in the context of the directed set, stochastic processes indexed by directed sets, and many applications in probability, analysis and ergodic theory. Martingales and related processes are considered from several points of view. The book opens with a discussion of pointwise and stochastic convergence of processes, with concise proofs arising from the method of stochastic convergence. Later, the rewording of Vitali covering conditions in terms of stopping times clarifies connections with the theory of stochastic processes. Solutions are presented here for nearly all the open problems in the Krickeberg convergence theory for martingales and submartingales indexed by directed set. Another theme of the book is the unification of martingale and ergodic theorems.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0521135087
• ISBN 13: 9780521135085
• Reliure: Broché
• Nombre de pages: 444
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France