If a random variable X follows the process below, dX; = -kX,dt + odWt, W is a standard Brownian motion. What are the expectation and variance of Xt+dt?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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If a random variable X follows the process below,
dX; = -kX;dt + odWt, W is a standard Brownian motion.
What are the expectation and variance of Xt+dt?
Transcribed Image Text:If a random variable X follows the process below, dX; = -kX;dt + odWt, W is a standard Brownian motion. What are the expectation and variance of Xt+dt?
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