2. Consider y = X8+€, where X and € are matrixes whose entries are random variables, and 8 which is a vector of real num
Posted: Sun Sep 05, 2021 5:03 pm
2. Consider y = X8+€, where X and € are matrixes whose entries are random variables, and 8 which is a vector of real numbers. Assume X'X is always invertible. Consider the following vector of random variables B = (X'X)-?x'y. (a) Show that if X and e are independent, and E[c] = 0; then Elf) = B. (b) Show that if E[XcX] 0, then E[ BX] = B. Can we conclude that E ) = 8?