GARCHM_GUESS - Initial Values for Model's Parameters

Returns the initial guess of the model's parameters.

Syntax

GARCHM_GUESS ([x], order, p, q, f)

[X]

Required. Is the univariate time series data (a one-dimensional array of cells (e.g., rows or columns)).

Order

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).

p

Required. Is the ARCH model component order.

q

Required. Is the GARCH model component order.

F

Optional. Is the probability distribution function of the innovations/residuals.

Value	Probability Distribution
1	Gaussian or Normal Distribution (default).
2	Student's t-Distribution.
3	Generalized Error Distribution (GED).

Remarks

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. GARCHM_GUESS returns the model's parameters in the following order:
   1. $\mu$.
   2. $\lambda$.
   3. $\alpha_o,\phi_1,...,\phi_p$.
   4. $\beta_1,\beta_2,...,\theta_q$.
   5. $\nu$.

Files Examples

Related Links

• Wikipedia - Autoregressive conditional heteroskedasticity.

References

• James Douglas Hamilton; Time Series Analysis, Princeton University Press; 1st edition(Jan 11, 1994), ISBN: 691042896.
• Tsay, Ruey S.; Analysis of Financial Time Series, John Wiley & SONS; 2nd edition(Aug 30, 2005), ISBN: 0-471-690740.