Two-Parameter Martingales and Their Quadratic Variation

This book has two-fold aims. In a first part it gives an introductory, thorough and essentially self-contained treatment of the general theory of two-parameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. The se...

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প্রধান লেখক: Imkeller, Peter, 1951-
বিন্যাস: Livre numérique
ভাষা:Anglais
প্রকাশিত: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
মালা:Lecture notes in mathematics 1308
বিষয়গুলি:
অনলাইন ব্যবহার করুন:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
টীকা: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Two-parameter martingales and their quadratic variation, Peter Imkeller, 1988, Berlin, Springer-Verlag, 1 volume (IV-177 pages), Lecture notes in mathematics, 0-387-19233-6
• Two-Parameter Martingales and Their Quadratic Variation, Texte imprimé, 9783662172698
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245 1 0 |a Two-Parameter Martingales and Their Quadratic Variation   |c Peter Imkeller. 
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505 0 |a Notations and conventions -- Basics; processes depending on a parameter -- Two-parameter processes -- Jumps of martingales and their compensation -- Quadratic variation and structure of martingales. 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a This book has two-fold aims. In a first part it gives an introductory, thorough and essentially self-contained treatment of the general theory of two-parameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. The second part presents the results of recent research by the author on martingale theory and stochastic calculus for two-parameter processes. Both the results and the methods of these two chapters are almost entirely new, and are of particular interest. They provide the fundamentals of a general stochastic analysis of two-parameter processes including, in particular, so far inaccessible jump phenomena. The typical rader is assumed to have some basic knowledge of the general theory of one-parameter martingales. The book should be accessible to probabilistically interested mathematicians who a) wish to become acquainted with or have a complete treatment of the main features of the general theory of two-parameter processes and basics of their stochastic calculus, b) intend to learn about the most recent developments in this area. 
650 |a Martingales (mathématiques) 
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