A simple model (in degrees Celsius) for the daily temperature process C(t) of Example 13.3 is where

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A simple model (in degrees Celsius) for the daily temperature process C(t) of Example 13.3 is
A simple model (in degrees Celsius) for the daily temperature

where X1, X2, .... is an iid random sequence of Gaussian (0, 1) random variables.
(a) What is E[Cn]?
(b) Find the auto-covariance function CC[m, k].
(c) Why is this model overly simple?

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