Penalising Brownian Paths
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 theor...
Clasificación: | Libro Electrónico |
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Autores principales: | , |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2009.
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Edición: | 1st ed. 2009. |
Colección: | Lecture Notes in Mathematics,
1969 |
Temas: | |
Acceso en línea: | Texto Completo |
Sumario: | 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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Descripción Física: | XIII, 275 p. online resource. |
ISBN: | 9783540896999 |
ISSN: | 1617-9692 ; |