Generalized Canonical Regression - FEDERAL RESERVE BANK of NEW YORK

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Staff Reports

Generalized Canonical Regression

June 2007 Number 288

JEL classification: C51, C22

Author: Arturo Estrella

This paper introduces a generalized approach to canonical regression, in which a set of jointly dependent variables enters the left-hand side of the equation as a linear combination, formally like the linear combination of regressors in the right-hand side of the equation. Natural applications occur when the dependent variable is the sum of components that may optimally receive unequal weights or in time series models in which the appropriate timing of the dependent variable is not known a priori. The paper derives a quasi-maximum likelihood estimator as well as its asymptotic distribution and provides illustrative applications.

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