Conditional Prediction And Unbiasedness in Structural Equations
Conditional Prediction And Unbiasedness in Structural Equations
G M Kaufman
The book Conditional Prediction And Unbiasedness in Structural Equations was written by author G M Kaufman Here you can read free online of Conditional Prediction And Unbiasedness in Structural Equations book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Conditional Prediction And Unbiasedness in Structural Equations a good or bad book?
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■* P) = J(e22 ^ 422^ " -^' ^°" §1 2 " =12 =22' ^^'^ ^ little algebra shows that ill = ill. 2 ^ Si. 2 i22 Si. 2- Consequently J(|^2 " Si. 2^ = '^2!^ ^^ J(£ -> e_ ) = 1. Multiplying all four Jacobians together prcves the lemma. We can now find the joint density of (P, R^_2' ill. 2' =22^ ^^°^ ^^^^ °^ (P, |) by substituting in (3. 1) and multiplying by the Jacobian I422 1 • ^'^^^^ rewrite - 6 - tr H e = tr {H^^ e^^ + H^^ hi ^ S21 ^12 + ^22 hl^ = ^^ Sll S1I. 2 ^ ^^ 222 hi ^ ^^ SllfSl. 2-SnSl2J|22L^.... 2-S'l^l2^' by writing out tr H e, substituting using the definitions of fi„ in terms of the H.. , 1 and the assertions 1, 2, and 3 of the previous section follow directly.
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