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Book
Continuous exponential martingales and BMO
Author:
ISBN: 3540580425 0387580425 9783540580423 9780387580425 3540484213 Year: 1994 Volume: 1579 Publisher: Berlin ; Heidelberg ; New York Springer Verlag


Book
Probability theory : independence, interchangeability, martingales
Authors: ---
ISBN: 0387966951 3540966951 1468405063 1468405047 9780387966953 9783540966951 Year: 1988 Publisher: New York : Springer-Verlag,

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Introduction to stochastic integration
Authors: ---
ISBN: 0817633863 3764333863 1461288371 1461244803 Year: 1990 Publisher: Boston : Birkhäuser,

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Marked point processes on the real line : the dynamic approach
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ISBN: 0387945474 9780387945477 Year: 1995 Publisher: Berlin : Springer-Verlag,

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Book
Stochastic analysis in discrete and continuous settings : with normal martingales
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ISBN: 9783642023804 9783642023798 Year: 2009 Publisher: Berlin : Springer,

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Abstract

This volume gives a unified presentation of stochastic analysis for continuous and discontinuous stochastic processes, in both discrete and continuous time. It is mostly self-contained and accessible to graduate students and researchers having already received a basic training in probability. The simultaneous treatment of continuous and jump processes is done in the framework of normal martingales; that includes the Brownian motion and compensated Poisson processes as specific cases. In particular, the basic tools of stochastic analysis (chaos representation, gradient, divergence, integration by parts) are presented in this general setting. Applications are given to functional and deviation inequalities and mathematical finance.

Probability with martingales
Author:
ISBN: 0521406056 052140455X 9780521406055 9780521404556 9787506292511 7506292513 Year: 1991 Publisher: Cambridge New York Melbourne Cambridge University Press


Book
Continuous martingales and brownian motion
Authors: ---
ISBN: 0387521674 3540521674 3662217287 3662217260 9783540521679 9780387521671 Year: 1991 Volume: 293 Publisher: Berlin Heidelberg Paris Springer-Verlag

Théorie probabiliste du contrôle des diffusions
Author:
ISBN: 0821818678 Year: 1976 Volume: 167 Publisher: Providence, R.I. : American Mathematical Society,

Limit theorems for null recurrent Markov processes
Authors: ---
ISBN: 082183231X Year: 2003 Publisher: Providence (R.I.): American Mathematical Society

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