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The Stata Journal
Volume 4 Number 2: pp. 180-189



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From the help desk: Polynomial distributed lag models

Allen McDowell
StataCorp
Abstract.   Polynomial distributed lag models (PDLs) are finite-order distributed lag models with the impulse–response function constrained to lie on a polynomial of known degree. You can estimate the parameters of a PDL directly via constrained ordinary least squares, or you can derive a reduced form of the model via a linear transformation of the structural model, estimate the reduced-form parameters, and recover estimates of the structural parameters via an inverse linear transformation of the reduced-form parameter estimates. This article demonstrates both methods using Stata.
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View all articles with these keywords: polynomial distributed lag, Almon, Lagrangian interpolation polynomials

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