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A stochastic process is a collection of random variables usually indexed by a totally ordered set.

1 vote
1 answer
2k views

Covariance of the product of a stochastic integral and riemann integral

Right now, I want to figure out the covariance of a stochastic integral and a riemann integral in the following form: $$E\left(\int_{0}^{t}\exp[B(t)-B(s)]ds \cdot \int_{0}^{t}\exp[B(t)-B(s)]dW(s)\rig …
Tom's user avatar
  • 135
2 votes
2 answers
11k views

How to Calculate the Expectation and Variance for Stochastic Integral with correlated Browni...

Right now I dont know how to find the expectation and the variance for the following stochastic integral: $$\int_{0}^t B(s) dW(s)$$ where $B(t)$ and $W(t)$ are correlated standard Brownian Motions wit …
Tom's user avatar
  • 135