Type: Study Notes, Lecture Notes, e-book
Level: MSc(Math. Fin), Ph.D.(Fin)
These lecture notes for the course "Stochastic Calculus and Stochastic Control" from Ramon van Handel are an excellent coverage of the topic. The notes are very intuitive and thus are appropriate for readers with major other than mathematics. The lecture notes provide the necessary background, probability theory, stochastic processes, martingales, the wiener process (Brownian motion). Stochastic integrals, Itō's lemma and stochastic differential equatios (SDEs) are covered in later chapters. After the necessary background, optimal control and filtering theory are covered next. Optimal stopping is discussed in the final chapter.
Stochastic Calculus, Filtering, and Stochastic Control
Webpage:
http://www.princeton.edu/~rvan/
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