Download e-book for iPad: Computer Intensive Methods in Statistics by D. A. Stephens, A. F. M. Smith (auth.), Prof. Dr. Wolfgang

By D. A. Stephens, A. F. M. Smith (auth.), Prof. Dr. Wolfgang Härdle, Prof. Léopold Simar (eds.)

ISBN-10: 3642524680

ISBN-13: 9783642524684

ISBN-10: 3790806773

ISBN-13: 9783790806779

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We can also test the two restrictions (common factor and o: = 0) jointly rather than sequentially, hence the Common Factor Joint Test (CFJT). 5) 1 B (L) 2 ... is constant. has p+k + c t B (L)]' k B (L) = tp b jl L1• and The model coefficients. 2) JO I jl = 0 (i = 1 to p, j = 2 to k). 2). 1) is o = 0 (in Section 5, = 2, and k so that o is a scalar). 3) p p where z = (Y y p X p X p X), a Txm matrix, m = p+k+p(k-1), p ), the Txp matrix of lags of y, (y -I y (X X ), the Txp(k-1) matrix of lags of the k-1 last columns of X, -I -p -p b For the prior p(8,

The test proposed by Aprahamian, Lubrano, and Marimoutou (1990) is based on a measure of divergence between the posterior densities of the autocorrelation) and under parameters of interest under the the alternative one null (autocorrelation), hypothesis the (no latter being implemented through the same augmented regression as a classical score test. These authors apply a general principle proposed by Hausman (1978) and extended by Florens and Mouchart (1989) to the Bayesian paradigm, but they are interested in the influence of misspecification itself.

Section 5 provides the Monte-Carlo results and Section 6 concludes. 2. 1) = l. 2) y=Xf'l+u where y is the Txl endogenous variable, y = (y 1, ... ,y T)', X = (x 1 , ... ,xr)' is the Txk matrix of weakly exogenous regressors, f3 is the kxl vector of parameters, u f3 = ((3 1, .... ,f3k)', and (u1 , ... ,ur)' is the Txl vector of errors. Under H0 , we assume 2 u - Nr(O,o- IT). 3) A(L)u t = ut - a u I t -I - ... 3) becomes t 1. •• ,cr)' - N (O,o- 21 ). T In the model T We define a: = (a: , ... ,a: )'.

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Computer Intensive Methods in Statistics by D. A. Stephens, A. F. M. Smith (auth.), Prof. Dr. Wolfgang Härdle, Prof. Léopold Simar (eds.)

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