1974National Bureau of Economic ResearchOpen access

Ridge Estimators for Distributed Lag Models

G. S. Maddala

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Abstract

The paper explains how the Almon polynominal lag specification can be made stochastic in two different ways -one suggested by Shiller and another following the lines of Liridley and Smith.It is shown that both the estimators can be considered as modified ridge estimators.The paper then compares these modified ridge estimators with the ridge estimator suggested by Hoerl and Kennard.It is shown that for the estimation of distributed lag models the ridge estimator suggested by Hoerl and Kennard is not useful but that the modified ridge estimators corresponding to thestochastic versions of the Almon lag are promising.The paper has two empirical illustrations.

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What this paper is about

The paper explains how the Almon polynominal lag specification can be made stochastic in two different ways -one suggested by Shiller and another following the lines of Liridley and Smith.It is shown that both the estimators can be considered as modified ridge estimators.The paper then compares these modified ridge estimators with the ridge estimator suggested by Hoerl and Kennard.It is shown that for the estimation of distributed lag models the ridge estimator suggested by Hoerl and Kennard is not useful but that the modified ridge estimators corresponding to thestochastic versions of the Almon lag are promising.The paper has two empirical illustrations.

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Available abstract

The paper explains how the Almon polynominal lag specification can be made stochastic in two different ways -one suggested by Shiller and another following the lines of Liridley and Smith.It is shown that both the estimators can be considered as modified ridge estimators.The paper then compares these modified ridge estimators with the ridge estimator suggested by Hoerl and Kennard.It is shown that for the estimation of distributed lag models the ridge estimator suggested by Hoerl and Kennard is not useful but that the modified ridge estimators corresponding to thestochastic versions of the Almon lag are promising.The paper has two empirical illustrations.

Key concepts: Estimator, Ridge, Lag, Distributed lag, Mathematics, Econometrics, Applied mathematics, Statistics

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