What is the purpose of this matrix operator?

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The discussion centers on understanding a specific matrix operator from an econometrics paper published in 1986, which involves a 5x5 matrix (Sp) and a 3x3 matrix ((Z'Z)-1). Participants seek clarification on the notation and context, with references to generalized linear array models and Kronecker products. The importance of understanding the operator's function within linear models is emphasized, suggesting that context is crucial for grasping its application. The conversation highlights the need for further exploration of the equations to fully comprehend their significance. Understanding this operator is essential for interpreting the statistical inference methods discussed in the paper.
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Hi,

w1e7w2.png

A fuller view can be found here:
4q56c0.png


(i) What is this operator?
(ii) What does this operator mean if Sp is a 5x5 matrix and (Z'Z)-1 is a 3x3 matrix?Thanks a lot.
 
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Hey operationsres.

Can you give the context for this notation? Where did you see it? A book? A website? Are you taking a class on something?
 
(1) This is from an econometrics paper "An Approach to Statistical Inference in Cross-Sectional Models with Security Abnormal Returns As Dependent Variable" published in 1986.

(2) Here's the context of the equation:
http://i49.tinypic.com/4q56c0.png

Note that Sp is necessarily a square matrix, as is (Z'Z)^-1 however they are different dimensions...
 
Oh awesome if you're right. Kind of like A x B where A and B are sets!

:)
 
operationsres said:
Oh awesome if you're right. Kind of like A x B where A and B are sets!

:)

I'd check though in the context of the linear models for the GLAM stuff because that will give you context not just for the equations (and if the operator is that) but also for what it's actually doing which is going to be more important.
 

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