Riemann integral and Riemann stieltjes as well as their complications .

Discrete-time approach: Doob decomposition, Halting instances and Markov method.
Brownian movement: stochastic procedure, wiener procedure, halting time,
Apps of Brownian movement and stochastic method.
Stochastic integral, Girsanova theorem.
ITO Method: its dilemma and applications
Stochastic Differential equation.


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