Penalising Brownian Paths - E-book

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Penalising Brownian Paths - ENG

Bernard Roynette; Marc Yor

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Sinopsis

ISBN:	9783540896999
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Probabilidad y estadística general
Año de publicación:	2009-07-31

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.

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