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Peacocks and Associated Martingales with Explicit Constructions Book PDF Summary

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.

Detail Book of Peacocks and Associated Martingales with Explicit Constructions PDF

Peacocks and Associated Martingales  with Explicit Constructions
  • Author : Francis Hirsch
  • Release : 24 May 2011
  • Publisher : Springer Science & Business Media
  • ISBN : 9788847019089
  • Genre : Mathematics
  • Total Page : 412 pages
  • Language : English
  • PDF File Size : 21,7 Mb

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