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Brownian motion is the random motion of particles (eg atoms) that make up a gas. The math used to model Brownian motion is sometimes used in statistics to describe stochastic processes over time.

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Simulating a stochastic integral

To simulate the convergence, simulate the mean of the squared DIFFERENCE between the integral based on n steps and the integral based on 2n steps. Then the same for the difference between the integral …
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Simulating a stochastic integral

3.9.10 BdB.R integral B.dB rephrase exercise 3.9.10 as follows: delete line 5 and onward until line 8 sentence that starts with Repeat also delete sentence starting with Compare set.seed(123) …
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