3.3. The net inflow to a reservoir is well described by a Brownian motion. Because a reservoir...

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3.3. The net inflow to a reservoir is well described by a Brownian motion.

Because a reservoir cannot contain a negative amount of water, we suppose that the water level R(t) at time t is a reflected Brownian motion.

What is the probability that the reservoir contains more than 10 units of water at time t = 25? Assume that the reservoir has unlimited capacity and that R(0) = 5.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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Question Posted: Oct 31, 2024 06:00 AM

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3.3. The net inflow to a reservoir is well described by a Brownian motion. Because a reservoir...

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An Introduction To Stochastic Modeling

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