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Peacocks and Associated Martingales, with Explicit Constructions

Peacocks and Associated Martingales, with Explicit Constructions
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Field name Details
Dewey Class 519.2
Title Peacocks and Associated Martingales, with Explicit Constructions ([Ebook]) / by Francis Hirsch, Christophe Profeta, Bernard Roynette, Marc Yor.
Author Hirsch, Francis
Added Personal Name Profeta, Christophe
Roynette, Bernard
Yor, Marc
Other name(s) SpringerLink (Online service)
Publication Milano : Springer Milan , 2011.
Physical Details XXXII, 388 pages : online resource.
Series B&SS -- Bocconi & Springer Series 2039-1471
ISBN 9788847019089
Summary Note We call peacock an integrable process which is increasing in the convex order; such a notion plays an important role in Mathematical Finance. A deep theorem due to Kellerer states that a process is a peacock if and only if it has the same one-dimensional marginals as a martingale. Such a martingale is then said to be associated to this peacock. In this monograph, we exhibit numerous examples of peacocks and associated martingales with the help of different methods: construction of sheets, time reversal, time inversion, self-decomposability, SDE, Skorokhod embeddings⦠They are developed in eight chapters, with about a hundred of exercises.:
Contents note Some Examples of Peacocks -- The Sheet Method -- The Time Reversal Method -- The Time Inversion Method -- The Sato Process Method -- The Stochastic Differential Equation Method -- The Skorokhod Embedding (SE) Method. Comparison of Multidimensional Marginals.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-88-470-1908-9
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