Stochastic analysis in discrete and continuous settings : with normal martingales

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 si...

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Detalhes bibliográficos
Autor principal: Privault, Nicolas, 1965-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2009.
Colecção:Lecture Notes in Mathematics 1982
Assuntos:
Acesso em linha:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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Nota: Description d'après consultation du 30 mars 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Stochastic analysis in discrete and continuous settings, with normal martingales, Nicolas Privault, 2009, Berlin, Springer, 1 vol. (IX-310 p.), Lecture notes in mathematics, 978-3-642-02379-8
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250 |a 1st ed. 2009. 
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505 1 |a The Discrete Time Case Continuous Time Normal Martingales Gradient and Divergence Operators Annihilation and Creation Operators Analysis on the Wiener Space Analysis on the Poisson Space Local Gradients on the Poisson Space Option Hedging in Continuous Time. 
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520 |a 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. 
650 |a Théorie des jeux 
650 |a Probabilités 
650 |a Mathématiques 
650 |a Analyse stochastique 
650 |a Martingales (mathématiques) 
650 |a Calcul de Malliavin 
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