Find the mean functions for the random processes given in Examples 10.1 and 10.2. Examples 10.1 You
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Find the mean functions for the random processes given in Examples 10.1 and 10.2.
Examples 10.1
You have 1000 dollars to put in an account with interest rate R, compounded annually. That is, if Xn is the value of the account at year n, then
The value of R is a random variable that is determined when you put the money in the bank, but it does not not change after that. In particular, assume that R ∼ Uniform(0.04, 0.05).
Examples 10.2
Let {X(t), t ∈ [0,∞)} be defined as X(t) = A +Bt, for all t ∈ [0,∞),
where A and B are independent normal N(1, 1) random variables.
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Xn 1000 (1 + R)", = for n = 0, 1, 2,...
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Related Book For
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
Question Posted:
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