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Public Lectures on Structural Econometrics - CEMMAP masterclass - Shared screen with speaker view
JAYANTI BEHERA
30:35
What does the delta dash imply in the first slide?
Rubén Pérez Sanz
31:53
You mean the one before the capital sigma? I think it´s the transpose
Marta Lopes
32:17
Jayanti, it’s the values that delta can take, and yes, capital sigma, it seems Ruben
Arie Beresteanu
32:18
lower case delta is just ant vector
Arie Beresteanu
32:31
any vector
JAYANTI BEHERA
33:27
@ Marta, thank you
Arie Beresteanu
33:51
Comparing to positive definite matrices is done in the following way: matrix A is smaller than matrix B if for every vector v, v'Av<v'Bv
JAYANTI BEHERA
37:24
Yes, I got it. Thank you
Rubén Pérez Sanz
39:53
In the lemma, the expressions are matrices or scalars? and in case of matrices, What does it mean for a matrix to be greater than other?
XIAOXIA SHI
40:55
@Ruben, Arie answered this question just above. Those are matrices.
Rubén Pérez Sanz
41:31
true, thanks!!
XIAOXIA SHI
41:44
@Ruben, in other words, A>=B iff A-B is positive semidefinite, for positive semi-definite matrices A and B.
Arie Beresteanu
45:26
Also note that a real symmetric matrix, A, is positive definite if and only if there exist a real nonsingular matrix M such that A=M'M.
JAYANTI BEHERA
47:36
Can you suggest some good books for this concept?
Marta Lopes
49:00
Amemiya T. (1985): Advanced Econometrics, Harvard University Press.
Elena Pastorino
49:13
@Jayanti: any graduate metrics textbook would review linear algebra
Elena Pastorino
50:32
you may want to start there
JAYANTI BEHERA
51:23
Okay. thank you
Arie Beresteanu
56:16
Econometrics Analysis by William Greene has a linear algebra appendix (as well as probability, estimation and inference)
JAYANTI BEHERA
01:08:16
@Arie, thank you
Elena Pastorino
01:11:47
@Jayanti & everyone: the syllabus for the class has some useful references. You may want to check it out if you have not had the chance yet: http://comlabgames.com/structuraleconometrics/background%20reading.pdf
Elena Pastorino
01:12:43
to textbooks too
Elena Pastorino
01:14:32
see for general reference there: Davidson, R. and J. MacKinnon (1993): Estimation and Inference in Econometrics, Oxford University Press
JAYANTI BEHERA
01:18:34
@Elena; thank you so much for the link.
Elena Pastorino
01:19:57
Sure!
Elena Pastorino
01:43:46
Nice to meet you: are you at Penn?
Vasilis Pappas
01:59:17
thank you!
Miguel Angel Cabello
01:59:20
many thanks
Vladimir Yankov
01:59:22
thank you!