2. Suppose that Ya ut where the ut are iid Normal with mean zero and variance σ2, but that you mistakenly think Yt is difference stationary. You therefore construct a new series a) Are the Xt i.i.d.?...
Suppose Zt = 2 + Xt -2Xt-1+Xt-2, where {Xt} is zero-mean stationary series with autocovariance function. Calculate the autocovariance of Zt
2. Let (et) be a zero mean white noise process with variance 1. Suppose that the observed process is h ft + Xt where β is an unknown constant, and Xt-et- Explain why {X.) is stationary. Find its mean function μχ and autocorrelation function p for lk0,1,.. a. b. Show that {Yt3 is not stationary. C. Explain why w. = ▽h = h-K-1 is stationary. d. Calculate Var(Yt) Vt and Var(W) Vt . (Recall: Var(X+c)-Var(X) when c is a constant.)...
Exercise 6,7,8, and 9 use data from exercise 5 for exercise 6. use data from the graph for 7,8,9 d. LY, for some integer k> 0 5. The following table contains quarterly nominal GDP in U.S. (billions of dol- lars). Let Y, denote the GDP at time t and let y, = ln (Y). (Show your calculations in a spreadsheet, e.g., in Microsoft Excel.) a. Plot the time series (Y). Can the underlying stochastic process be weakly b. Calculate the...