“exponential smoothing”的概念、定义、翻译、参考文献-科学参考

exponential smoothing

Statistics

A method of smoothing a time series. Let x₁, x₂,…, x_n denote the observed values, and let x̂₁, x̂₂,…, x̂_n be a corresponding set of smoothed values computed using the formulae $exponential smoothing$ where α (0<α<1) is a constant. An equivalent formula is $exponential smoothing$ The value of α is usually chosen to minimize With this value of α, x̂_t is called the exponentially weighted moving average (EWMA).
With this value of α, the formula may be adapted for forecasting a time series having neither trend (see moving average) nor seasonality by writing $exponential smoothing$ where x̂_t + 1 is the predicted value for time (t + 1) and it is assumed that a long series of values exists.

Economics

A forecast based on the weighted average of the past values of the variable, in which the weights assigned to the past values decline exponentially with the lag length. This procedure is also used for data smoothing and is a version of the weighted moving average technique.

单词	exponential smoothing
释义	exponential smoothing Statistics A method of smoothing a time series. Let x₁, x₂,…, x_n denote the observed values, and let x̂₁, x̂₂,…, x̂_n be a corresponding set of smoothed values computed using the formulae $exponential smoothing$ where α (0<α<1) is a constant. An equivalent formula is $exponential smoothing$ The value of α is usually chosen to minimize With this value of α, x̂_t is called the exponentially weighted moving average (EWMA). With this value of α, the formula may be adapted for forecasting a time series having neither trend (see moving average) nor seasonality by writing $exponential smoothing$ where x̂_t + 1 is the predicted value for time (t + 1) and it is assumed that a long series of values exists. Economics A forecast based on the weighted average of the past values of the variable, in which the weights assigned to the past values decline exponentially with the lag length. This procedure is also used for data smoothing and is a version of the weighted moving average technique.
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