Matrix Formulas for Nonstationary ARIMA Signal Extraction
نویسنده
چکیده
The paper provides general matrix formulas for minimum mean squared error signal extraction, for a finitely sampled time series whose signal and noise components are nonstationary ARIMA processes. These formulas are quite practical; as well as being simple to implement on a computer, they make it possible to easily derive important general properties of the signal extraction filters. We also extend these formulas to estimates of future values of the unobserved signal, and show how this result combines signal extraction and forecasting.
منابع مشابه
Matrix Formulas for Nonstationary Signal Extraction
The paper provides general matrix formulas for extraction of a nonstationary signal in nonstationary noise, for a finitely sampled time series. These formulas are quite practical, in that they provide a ready intuition for the filtering operation, as well as being simple to implement on a computer. Applications to signal extraction diagnostics are discussed. Disclaimer This report is released t...
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