Distributed lag approximation to linear time-invariant systems

Robinson, P. (1979). Distributed lag approximation to linear time-invariant systems. Annals of Statistics, 7(3), 507-515. https://doi.org/10.1214/aos/1176344672
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An infinite distributed lag system is approximated by a truncated one, which can be consistently estimated. We investigate the rate at which the parameter space in the approximate model can be increased as sample size increases, in such a way that these estimates will provide consistent estimates of the underlying system.

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