A basic forecasting technique for time series data, optionally including trend and/or seasonality, but (usually) excluding causal influences.

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Simple exponential smoothing

I simulated a time series using expressions (3.10a), (3.10b) from (Hyndman et al., 2008). Next, I'd like to use a simple exponential smoothing method to forecast for the next period. For a given ...
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217 views

Initialization and estimation in exponential smoothing

Following Eqs. (3.10a) and (3.10b) from (Hyndman et al., 2008) I obtained a simulated series $y_t=l_{t-1}+\varepsilon_t$ and level $l_t=l_{t-1}+\alpha\,\varepsilon_t$, $t=1.2,\ldots,40$, see data ...
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455 views

Single exponential smoothing

I think my question is quite simple and stupid: What do we forecast using single exponential smoothing model: the next value of the observed time series or the next value of the level which lies in ...
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1answer
439 views

Standard error and p-values of exponential smoothing weights

Is there any justfification for producing a standard error of a single exponentially weighted coefficient? If yes, how can we interpret the p-value? Background I use SAS ETS to estimate a single ...
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Exponential moving average with sub-interval relevance / varying timeframe

I need to calculate an exponential moving average for a series of data. The intended sampling interval is fixed (say 1s) but the data stream has varying intervals (data intervals vary from 0.01s to ...
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Forecasting beyond one season using Holt-Winters' exponential smoothing

I am using the Holt-Winters' exponential smoothing technique to forecast expenditure data 2 years into the furture. The monthly data has an increasing trend and annual seasonality. I'm using MS Excel ...