Robustness of Maximum Likelihood Estimates for Multi-Step Predictions: The Exponential Smoothing Case
多步预测中极大似然估计的稳健性:指数平滑情形
We extend the argument initiated by Cox (1961) that the exponential smoothing formula can be made more robust for multi-step forecasts if the smoothing parameter is adjusted as a function of the forecast horizon l. The consistency property of the estimator which minimizes the sum of squares of the sample l-step ahead forecast errors makes the robustness result useful in practice. We also generalize the consistency result to some other parsimonious nonstationary models which…