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Q175Section III (Statistics)175 of 190

Only one candidate MSE formula wrongly tacks on an extra μ2\mu^2 term

Let {Xt}\{X_t\} be a stationary time series model given by: Xt=μ+ϕXt−1+Zt,Zt∼iidX_t=\mu+\phi X_{t-1}+Z_t, Z_t\sim iid normal (0,σ2)(0,\sigma^2). Then, which of the following statements is not true if PXt(Xt+k)P_{X_t}(X_{t+k}) is the forecast of Xt+kX_{t+k}. Given X1,X2…XtX_1,X_2\dots X_t?

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