Foundations of the Prediction Process - Couverture rigide

Knight, Frank B.

Couverture rigide

ISBN 10 : 0198535937 ISBN 13 : 9780198535935

Editeur : Clarendon Press, 1992

Synopsis

This book aims to present a unified treatment of the prediction process approach to continuous time stochastic processes. The underlying idea is that there are two kinds of time: stationary physical time and the moving observer's time. By developing this theme, Professor Knight develops a theory of stochastic processes whereby two processes are considered rather than one, which coexist on the same probability space. In this way, the observer's process is strongly Markovian. Consequently, any measurable stochastic process of real parameter may be regarded as a homogeneous strong Markov process in an appropriate setting. This leads to a unifying principle for the representation of general processes in terms of martingales, which facilitates the prediction of their properties. Whilst the ideas are advanced, the methods are reasonably elementary and should be accessible to a reader having a basic knowledge of measure theory, functional analysis, stochastic integration, and probability, on the level of the convergence theorem for positive super-martingales.

Détails de l'édition

• Éditeur: Clarendon Press
• Date d'édition: 1992
• Langue: anglais
• ISBN 10: 0198535937
• ISBN 13: 9780198535935
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 260
• Coordonnées du fabricant: non disponible
• Personne responsable: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; 20090; Italie