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Více informací o knize Levy Processes and Stochastic Calculus

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• Anotace
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Anotace knihy

Lévy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. Here, the author ties these two subjects together, beginning with an introduction to the general theory of Lévy processes, then leading on to develop the stochastic calculus for Lévy processes in a direct and accessible way. This fully revised edition now features a number of new topics. These include: regular variation and subexponential distributions; necessary and sufficient conditions for Lévy processes to have finite moments; characterisation of Lévy processes with finite variation; Kunita's estimates for moments of Lévy type stochastic integrals; new proofs of Ito representation and martingale representation theorems for general Lévy processes; multiple Wiener-Lévy integrals and chaos decomposition; an introduction to Malliavin calculus; an introduction to stability theory for Lévy-driven SDEs.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Applied mathematics

• Plný název: Levy Processes and Stochastic Calculus
• Autor: David Applebaum
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 492
• EAN: 9780521738651
• ISBN: 0521738652
• ID: 04378770
• Nakladatelství: Cambridge University Press
• Hmotnost: 740 g
• Rozměry: 229 × 151 × 26 mm
• Datum vydání: 30. April 2009

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