LAW OF ITERATED EXPECTATIONS Law of Iterated Expectations Theorem 1 Law of iterated expectation.s The notation Er[ indicates the expectation over the value of a Example
Review Conditional pdf Let(Y1,., YN) have joint pdf f(31,.. JN). Let f(3J+1, .. yN)be the marginal pdf of(y+1,……,YN). The conditional pdf of y1,…, Y, given y+1,…, YN is defined by
Chapter 5 Large sample properties of the LSE 5.1 Stochastic convergence Suppose that Xn} is a sequence of random varia bles with a corresponding sequence of distribution functions{Fn} If Fn(x)(x) at every continuity point x of F, Fn is said to converge weakly to F, written FnF. In this case,{xn} is said to converge in distribution to where
Chapter 3 Least Squares Methods for Estimating B Methods for estimat ing B Least squares estimation Maximum like lihood estimation Met hod of moments est imation Least a bsolute deviat ion est imation