Stochastic or Itô Calculus
Jacques Janssen, Raimondo Manca, Ernesto Volpe di Prignano
Abstract
Jacques Janssen, Raimondo Manca, Ernesto Volpe di Prignano
Abstract
This chapter contains sections titled: Problem of stochastic integration Stochastic integration of simple predictable processes and semi-martingales General definition of the stochastic integral Itô's formula Stochastic integral with standard Brownian motion as integrator process Stochastic differentiation Back to Itô's formula Stochastic differential equations Diffusion processes
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This chapter contains sections titled: Problem of stochastic integration Stochastic integration of simple predictable processes and semi-martingales General definition of the stochastic integral Itô's formula Stochastic integral with standard Brownian motion as integrator process Stochastic differentiation Back to Itô's formula Stochastic differential equations Diffusion processes
Key concepts: Stochastic calculus, Stochastic differential equation, Stratonovich integral, Continuous-time stochastic process, Integrator, Mathematics, Malliavin calculus, Geometric Brownian motion