Suppose that Xt , t Z are i.i.d. and real-valued, whose components are also i.i.d. with
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Suppose that Xt , t ∈ Z are i.i.d. and real-valued, whose components are also i.i.d. with mean 0, variance 1, and finite fourth moment. Show that this is a special case of the linear process (16.71), for which C(0) = Ip and C(u) = 0 for u > 0, where C(u) = E(Xt+uX
t ) is the (matrix-valued) autocovariance function.
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