We discuss the various sources of error in numerical computations with the use of examples from the literature relevant to time series analysis. We also submit a case where, by manual verification, we were able to discover a plausible forecast to be erroneous due to a number of software flaws in the XLSTAT addin for Microsoft Excel. Furthermore, after discussing the alternative techniques for implementing the ARIMA (AutoRegressive Integrated Moving Average) methodology on a computer, we show that different approaches can cause considerable discrepancies in the results across different programs, and even within a single software system.
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