TSADD - Time Series Addition

Returns an array of cells for the sum of two time series.

Syntax

TSADD([x], [y])
X
is the first univariate time series data (a one-dimensional array of cells (e.g., rows or columns)).
Y
is the second univariate time series data. If a single value is passed, it will be added to all observations in the first time series.

Remarks

  1. The time series is homogeneous or equally spaced.
  2. The two time series have an identical number of observations and time order, or the second series contains a single value.
  3. In the case where the two time series are identically sized, the two series are added together point-by-point:
    $$ \left[z_t\right] = \left[x_t\right] + \left[y_t\right] $$
    Where:
    • $ \left[z_t\right]$ is the sum time series.
    • $\left[x_t\right]$ is the first time series.
    • $\left[y_t\right]$ is the second time series.
  4. In the case where the second time series is passed as a single value ($\alpha$), this constant is added to all points in the first time series:
    $$ \left[z_t\right] =\left[x_t\right] + \left[\alpha\right] $$
    Where:
    • $\left[z_t\right]$ is the sum time series.
    • $\left[x_t\right]$ is the first time series.
    • $\alpha$ is a constant value.
  5. The returned array has the same size and time order as the first input time series.

 

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