Suppose that (Wn: n 2 0) is an autoregressive sequence of order 1, so that for n 2 0, where the Z...
Suppose 21, 22, 23, 24 ~ N(0, 1) where 21, 22, 23, 24 are all independent. Let X1 = zi + z2 42 = 22 + 23 23 = 23 + 24 Notice that Cov(21,13) = 0 so that Xi and X3 are independent. Which of the following is true? Var (21 | 22) = Var (21 | 22, 23) Var (x1 | x2) > Var (21 | 22, 23) Var (21 | x2) < Var (21 | 22, 23)
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....