Dynamic Bridges

  • Umut Çetin
  • Albina Danilova
Part of the Probability Theory and Stochastic Modelling book series (PTSM, volume 90)


In this chapter we will extend the notion of a Markov bridge to the case when the final bridge condition or the length of the bridge is not known in advance but revealed via an observation of a related process. We will call such a process dynamic Markov bridge. We provide conditions under which such a process exists as a unique solution of an SDE. This construction will be fundamental in solving the Kyle–Back models considered in the second part of the book.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Umut Çetin
    • 1
  • Albina Danilova
    • 2
  1. 1.Department of StatisticsLondon School of EconomicsLondonUK
  2. 2.Department of MathematicsLondon School of EconomicsLondonUK

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