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July 1963 - Volume 31 Issue 3 Page 514 - 529


p.514


The Matrix Multiplier and Distributed Lags

D. V. T. Bear

Abstract

A nonnegative, finite distributed-lag model of the matrix multiplier is shown to be stable under exactly those conditions which impart stability to the first-order form of the model. Sufficient conditions on the first-order model are extended to cover the higher-order case. It is shown that a distributed-lag matrix multiplier is stable if, and only if, its corresponding first-order aggregation is also stable.

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