ARMA_PARAM - Values of the Model's Parameters

Returns an array of cells for the quick guess, optimal (calibrated), or standard errors of the values of the model's parameters.


ARMA_PARAM ([x], order, µ, σ, [φ], [θ], return, maxiter)

Required. Is the univariate time series data (a one-dimensional array of cells (e.g., rows or columns)).
Optional. Is the time order in the data series (i.e., the first data point's corresponding date (earliest date = 1 (default), latest date = 0)).
Value Order
1 Ascending (the first data point corresponds to the earliest date) (default).
0 Descending (the first data point corresponds to the latest date).
Optional. Is the ARMA model long-run mean (i.e., mu). If missing, the process mean is assumed to be zero.
Required. Is the standard deviation value of the model's residuals/innovations.
Optional. Are the parameters of the AR(p) component model: [φ1, φ2 … φp] (starting with the lowest lag).
Optional. Are the parameters of the MA(q) component model: [θ1, θ2 … θq] (starting with the lowest lag).
Optional. Is an integer switch to select the output array: (1 = Quick Guess (default), 2 = Calibrated, 3 = Std. Errors).
Value Return
1 Quick guess (non-optimal) of parameters' values (default).
2 Calibrated (optimal) values for the model's parameters.
3 Standard error of the parameters' values.
Optional. Is the maximum number of iterations used to calibrate the model. If missing, the default maximum of 100 is assumed.


  1. The underlying model is described here.
  2. The time series is homogeneous or equally spaced.
  3. The time series may include missing values (e.g., #N/A) at either end.
  4. ARMA_PARAM returns an array for the values (or errors) of the model's parameters in the following order:
    1. $\mu$.
    2. $\phi_1,\phi_2,...,\phi_p$.
    3. $\theta_1,\theta_2,...,\theta_q$.
    4. $\sigma$.
  5. The function was added in version 1.63 SHAMROCK.

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