Aggregation Matrix
From Open Risk Manual
Revision as of 15:14, 16 November 2023 by Wiki admin (talk | contribs)
Definition
Aggregation Matrix in the context of Input-Output Analysis is a Boolean Matrix (composed of zeros and ones) that aims to produce a coarse-grained version of a more granular Input-Output Model.
Aggregation can be for example along sectoral or regional dimensions.
Vectors and Matrices can be aggregated by multiplying with the aggregation matrix:
$$\mathbf{y}\_{s} = \mathbf{S} \mathbf{y}$$
$$\mathbf{A}\_{s} = \mathbf{S} \mathbf{A} \mathbf{S}^T $$
