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Weakly Universally Consistent Forecasting of Stationary and Ergodic Time Series | IEEE Journals & Magazine | IEEE Xplore

Weakly Universally Consistent Forecasting of Stationary and Ergodic Time Series


Abstract:

Static forecasting of stationary and ergodic time series is considered, i.e., inference of the conditional expectation of the response variable at time zero given the inf...Show More

Abstract:

Static forecasting of stationary and ergodic time series is considered, i.e., inference of the conditional expectation of the response variable at time zero given the infinite past. It is shown that the mean squared error of a combination of suitably defined localized least squares estimates converges to zero for all distributions where the response variable is square integrable.
Published in: IEEE Transactions on Information Theory ( Volume: 58, Issue: 2, February 2012)
Page(s): 1191 - 1202
Date of Publication: 26 September 2011

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