9.9 Let fBt; t $ 0g be a standard Brownian motion and define the process Yt 5

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9.9 Let fBðtÞ; t $ 0g be a standard Brownian motion and define the process YðtÞ 5 e2t Bðe2t Þ; t $ 0; that is, fYðtÞ; t $ 0g is the OU process.

a. Show that YðtÞ is a Gaussian process.

b. Find the covariance function of the process.

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