16.15 a. If forecasts are based on simple exponential smoothing, with xn t denoting the smoothed value
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16.15
a. If forecasts are based on simple exponential smoothing, with xn t denoting the smoothed value of the series at time t, show that the error made in forecasting xt, standing at time 1t - 12, can be written as follows:
et = xt - xn t-1
b. Hence, show that we can write xn t = xt - 11 - a2et, from which we see that the most recent observation and the most recent forecast error are used to compute the next forecast.
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Related Book For
Essential Mathematics And Statistics For Science
ISBN: 9780470694480
2nd Edition
Authors: Graham Currell, Dr. Antony Dowman
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