Econometrica: Jul, 1963, Volume 31, Issue 3

The Matrix Multiplier and Distributed Lags

https://doi.org/0012-9682(196307)31:3<514:TMMADL>2.0.CO;2-L
p. 514-529

D. V. T. Bear

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.