8.5.2 The velocity of a certain particle follows an OrnsteinUhlenbeck process with 2 D 1 and D...

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8.5.2 The velocity of a certain particle follows an Ornstein–Uhlenbeck process with

2 D 1 and D 0:2. The particle starts at rest .v D 0/ from position S.0/ D 0.

What is the probability that it is more than one unit away from its origin at time t D 1. What is the probability at times t D 10 and t D 100?

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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