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Penalising Brownian Paths: 1969 (Lecture Notes in Mathematics, 1969) - Softcover

Roynette, Bernard; Yor, Marc

 
9783540896982: Penalising Brownian Paths: 1969 (Lecture Notes in Mathematics, 1969)

Synopsis

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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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.

"About this title" may belong to another edition of this title.

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9783540897316: Penalising Brownian Paths

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ISBN 10:  3540897313 ISBN 13:  9783540897316
Publisher: Springer, 2009
Softcover