"Extreme values are values that are unusually large or small compared to other values in the series. Extreme va- lue can affect different forecasting methods to various degrees. The decision whether to remove an extreme value or not must rely on information beyond the data. Is the extreme value the result of a data entry error? Was it due to an unusual event (such as an earthquake) that is unlikely to occur again in the forecast horizon? If there is no grounded justification to remove or replace the extreme value, then the best practice is to generate two sets of forecasts: those based on the series with the extreme values and those based on the series excluding the extreme values." (
"Forecasting methods attempt to isolate the systematic part
and quantify the noise level. The systematic part is used for generating point
forecasts and the level of noise helps assess the uncertainty associated with
the point forecasts." (
"Missing values in a time series create "holes" in the series. The presence of missing values has different implications and requires different action depending on the forecasting method.
"[…] noise is the random variation that results from measurement error or other causes not accounted for. It is always present in a time series to some degree, although we cannot observe it directly." (
"Some forecasting methods directly model these components by
making assumptions about their structure. For example, a popular assumption about
trend is that it is linear or exponential over parts, or all, of the given time
period. Another common assumption is about the noise structure: many
statistical methods assume that the noise follows a normal distribution. The
advantage of methods that rely on such assumptions is that when the assumptions
are reasonably met, the resulting forecasts will be more robust and the models
more understandable." (
"Overfitting means that the model is not only fitting the
systematic component of the data, but also the noise. An over-fitted model is
therefore likely to perform poorly on new data.
"Understanding how performance is evaluated affects the choice of forecasting method, as well as the particular details of how a particular forecasting method is executed." (
"When the purpose of forecasting is to generate accurate
forecasts, it is useful to define performance metrics that measure predictive
accuracy. Such metrics can tell us how well a particular method performs in
general, as well as compared to benchmarks or forecasts from other methods.
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