Penalising Brownian Paths
Author | : Bernard Roynette |
Publisher | : Springer |
Total Pages | : 291 |
Release | : 2009-07-31 |
ISBN-10 | : 9783540896999 |
ISBN-13 | : 3540896996 |
Rating | : 4/5 (996 Downloads) |
Download or read book Penalising Brownian Paths written by Bernard Roynette and published by Springer. This book was released on 2009-07-31 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one. We are presenting a number of examples of such penalisations in the Brownian and Bessel processes framework. The Martingale theory plays a crucial role. A general principle for penalisation emerges from these examples. In particular, it is shown in the Brownian framework that a positive sigma-finite measure takes a large class of penalisations into account.