Econometric theory and methods, Russell Davidson - Chapter 10 pps

Econometric theory and methods, Russell Davidson - Chapter 10 pps

Econometric theory and methods, Russell Davidson - Chapter 10 pps

... given β 10 and β 20 , with β 20 > β 10 , the asymp- totic distribution of n( ˆ β 1 − β 10 ) is characterized by the density (10. 03) with θ = (β 20 − β 10 ) −1 . 10. 3 Generate 10, 000 random samples ... suggested by Fisher (1925) and later stated in its modern form by Cram´er (1946) and Rao (1945). Copyright c  1999, Russell Davidson and James G. MacKinnon 10. 10 E...
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Econometric theory and methods, Russell Davidson - Chapter 5 ppsx

Econometric theory and methods, Russell Davidson - Chapter 5 ppsx

... factor on the right-hand side tends to S −1 X  X as n → ∞, and the second factor, which is just v, tends to a random vector distributed as Copyright c  1999, Russell Davidson and James G. MacKinnon 5.3 ... may still seem strange that the lower and upper limits of (5.13) depend, respectively, on the upper-tail and lower-tail quantiles of the t(n − k) distri- bution. This actually...
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Econometric theory and methods, Russell Davidson - Chapter 1 docx

Econometric theory and methods, Russell Davidson - Chapter 1 docx

... horizontally. Similarly, X 11 and X 21 have the same number of columns, and also X 12 and X 22 , as required for the submatrices to fit together vertically as well. Copyright c  1999, Russell Davidson and James ... of the error terms, if necessary spec- ifying parameters such as its mean and variance; • Use a random-number generator to generate the n successive and mutu- ally...
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Econometric theory and methods, Russell Davidson - Chapter 2 doc

Econometric theory and methods, Russell Davidson - Chapter 2 doc

... OC. Copyright c  1999, Russell Davidson and James G. MacKinnon 2.4 The Frisch-Waugh-Lovell Theorem 69 by looking again at Figure 2.13, in which the constant ι plays the role of X 1 , and the centered ... least squares esti- mates, which we will refer to as the Frisch-Waugh-Lovell Theorem, or FWL Theorem for short. It was introduced to econometricians by Frisch and Waugh (1933), an...
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Econometric theory and methods, Russell Davidson - Chapter 3 ppt

Econometric theory and methods, Russell Davidson - Chapter 3 ppt

... (3.19) Copyright c  1999, Russell Davidson and James G. MacKinnon 3.6 Residuals and Error Terms 109 The consistency of ˆ β implies that ˆ u → u as n → ∞, but the finite-sample properties of ˆ u ... itself. Copyright c  1999, Russell Davidson and James G. MacKinnon 108 The Statistical Properties of Ordinary Least Squares has mean zero and is uncorrelated with ˆ β. The rando...
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Econometric theory and methods, Russell Davidson - Chapter 4 ppt

Econometric theory and methods, Russell Davidson - Chapter 4 ppt

... provided in Davidson and MacKinnon (1993). How- ever, it is impossible to understand large parts of econometrics without having some idea of how asymptotic theory works and what we can learn ... the sum of m independent, squared, standard normal random variables. From the definition of the chi-squared distribution, Copyright c  1999, Russell Davidson and James G. MacKinnon 4.4 E...
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Econometric theory and methods, Russell Davidson - Chapter 6 docx

Econometric theory and methods, Russell Davidson - Chapter 6 docx

... include Bard (1974), Gill, Murray, and Wright (1981), Quandt (1983), Bates and Watts (1988), Seber and Wild (1989, Chapter 14), and Press et al. (1992a, 1992b, Chapter 10) . There are many algorithms ... (6.43) Copyright c  1999, Russell Davidson and James G. MacKinnon 6 .10 Exercises 251 other extremum estimators: generalized least squares (Chapter 7), general- ized ins...
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Econometric theory and methods, Russell Davidson - Chapter 7 doc

Econometric theory and methods, Russell Davidson - Chapter 7 doc

... matrix- weighted averages of the within-groups, or fixed-effects, estimator (7.85) and Copyright c  1999, Russell Davidson and James G. MacKinnon Chapter 7 Generalized Least Squares and Related Topics 7.1 Introduction If ... the 2 See Dufour, Gaudry, and Liem (1980) and Betancourt and Kelejian (1981). Copyright c  1999, Russell Davidson and James G. MacKinnon 300 Gener...
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Econometric theory and methods, Russell Davidson - Chapter 8 pot

Econometric theory and methods, Russell Davidson - Chapter 8 pot

... (1999), Donald and Newey (2001), Hahn and Hausman (2002), Kleibergen (2002), and Stock, Wright, and Yogo (2002). There remain many unsolved problems. Copyright c  1999, Russell Davidson and James ... terms. Copyright c  1999, Russell Davidson and James G. MacKinnon 8.3 Instrumental Variables Estimation 313 It can be seen from this solution that p t and q t will depend...
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Econometric theory and methods, Russell Davidson - Chapter 9 potx

Econometric theory and methods, Russell Davidson - Chapter 9 potx

... σ 2 ) = 0, (9 .106 ) where f (·) and F (·) are given by (9 .104 ), and Ω is given by (9 .105 ). By explicitly performing the multiplications of partitioned matrices in (9 .106 ), inverting Ω, and ignoring ... σ 2 ) = 0 and ι  f 2 (µ, σ 2 ) = 0. (9 .107 ) The solution to these two equations is ˆµ = ¯z and ˆσ 2 given by (9 .101 ). Curi- ously, it appears that the explicit expressions...
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