Question

In: Statistics and Probability

2. Let {Zt , t = 0, ±1, ±2, ...} be a sequence of independent random...

2. Let {Zt , t = 0, ±1, ±2, ...} be a sequence of independent random variables, each with mean EZt = 0 and variance Var(Zt) = σ 2 . Define Xt = ZtZt−1 + Zt−2.

• Compute the mean and the covariance function for Xt .

• Is {Xt} weakly stationary? Explain why.

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