| int __stdcall NDK_GARCHM_RESID | ( | double * | pData, |
| size_t | nSize, | ||
| double | mu, | ||
| double | flambda, | ||
| const double * | Alphas, | ||
| size_t | p, | ||
| const double * | Betas, | ||
| size_t | q, | ||
| WORD | nInnovationType, | ||
| double | nu, | ||
| WORD | retType | ||
| ) |
Returns an array of cells for the standardized residuals of a given GARCH model.
- Returns
- status code of the operation
- Return values
-
NDK_SUCCESS Operation successful NDK_FAILED Operation unsuccessful. See Macros for full list.
- Deprecated:
- this function is being replaced by NDK_GARCHM_FITTED()
- Parameters
-
[in] pData is the univariate time series data (a one dimensional array). [in] nSize is the number of observations in pData. [in] mu is the GARCH model conditional mean (i.e. mu). [in] flambda is the volatility coefficient for the mean. In finance, lambda is referenced as the risk premium. [in] Alphas are the parameters of the ARCH(p) component model (starting with the lowest lag). [in] p is the number of elements in Alphas array [in] Betas are the parameters of the GARCH(q) component model (starting with the lowest lag). [in] q is the number of elements in Betas array [in] nInnovationType is the probability distribution function of the innovations/residuals (see INNOVATION_TYPE) - INNOVATION_GAUSSIAN Gaussian Distribution (default)
- INNOVATION_TDIST Student's T-Distribution,
- INNOVATION_GED Generalized Error Distribution (GED)
[in] nu is the shape factor (or degrees of freedom) of the innovations/residuals probability distribution function. [in] retType is a switch to select a residuals-type:raw or standardized. see RESID_RETVAL_FUNC
- Remarks
-
- The underlying model is described here.
- The time series is homogeneous or equally spaced.
- The time series may include missing values (e.g. #N/A) at either end.
- The standardized residuals have a mean of zero and a variance of one (1).
- The GARCH-M model's standardized residuals is defined as: \[\epsilon_t = \frac{a_t}{\sigma_t} \] \[a_t = x_t - \mu -\lambda \sigma_t \] Where:
- \(\epsilon\) is the GARCH-M model's standardized residual at time t.
- \(a_t\) is the GARCH-M model's residual at time t.
- \(x_t\) is the value of the time series at time t.
- \(\mu\) is the GARCH-M mean.
- \(\sigma_t\) is the GARCH-M conditional volatility at time t.
- \(\lambda\) is the volatility coefficient in the conditional mean.
- The number of parameters in the input argument - alpha - determines the order of the ARCH component model.
- The number of parameters in the input argument - beta - determines the order of the GARCH component model.
- Requirements
-
Header SFSDK.H Library SFSDK.LIB DLL SFSDK.DLL
| Namespace: | NumXLAPI |
| Class: | SFSDK |
| Scope: | Public |
| Lifetime: | Static |
| int NDK_GARCHM_RESID | ( | double[] | pData, |
| UIntPtr | nSize, | ||
| double | mu, | ||
| double | flambda, | ||
| double[] | Alphas, | ||
| UIntPtr | p, | ||
| double[] | Betas, | ||
| UIntPtr | q, | ||
| short | nInnovationType, | ||
| double | nu, | ||
| short | retType | ||
| ) |
Returns an array of cells for the standardized residuals of a given GARCH model.
- Return Value
-
a value from NDK_RETCODE enumeration for the status of the call.
NDK_SUCCESS operation successful Error Error Code
- Deprecated:
- this function is being replaced by NDK_GARCHM_FITTED()
- Parameters
-
[in] pData is the univariate time series data (a one dimensional array). [in] nSize is the number of observations in pData. [in] mu is the GARCH model conditional mean (i.e. mu). [in] flambda is the volatility coefficient for the mean. In finance, lambda is referenced as the risk premium. [in] Alphas are the parameters of the ARCH(p) component model (starting with the lowest lag). [in] p is the number of elements in Alphas array [in] Betas are the parameters of the GARCH(q) component model (starting with the lowest lag). [in] q is the number of elements in Betas array [in] nInnovationType is the probability distribution function of the innovations/residuals (see INNOVATION_TYPE) - INNOVATION_GAUSSIAN Gaussian Distribution (default)
- INNOVATION_TDIST Student's T-Distribution,
- INNOVATION_GED Generalized Error Distribution (GED)
[in] nu is the shape factor (or degrees of freedom) of the innovations/residuals probability distribution function. [in] retType is a switch to select a residuals-type:raw or standardized. see RESID_RETVAL_FUNC
- Remarks
-
- The underlying model is described here.
- The time series is homogeneous or equally spaced.
- The time series may include missing values (e.g. #N/A) at either end.
- The standardized residuals have a mean of zero and a variance of one (1).
- The GARCH-M model's standardized residuals is defined as: \[\epsilon_t = \frac{a_t}{\sigma_t} \] \[a_t = x_t - \mu -\lambda \sigma_t \] Where:
- \(\epsilon\) is the GARCH-M model's standardized residual at time t.
- \(a_t\) is the GARCH-M model's residual at time t.
- \(x_t\) is the value of the time series at time t.
- \(\mu\) is the GARCH-M mean.
- \(\sigma_t\) is the GARCH-M conditional volatility at time t.
- \(\lambda\) is the volatility coefficient in the conditional mean.
- The number of parameters in the input argument - alpha - determines the order of the ARCH component model.
- The number of parameters in the input argument - beta - determines the order of the GARCH component model.
- Exceptions
-
Exception Type Condition None N/A
- Requirements
-
Namespace NumXLAPI Class SFSDK Scope Public Lifetime Static Package NumXLAPI.DLL
- Examples
-
- References
- * Hamilton, J .D.; Time Series Analysis , Princeton University Press (1994), ISBN 0-691-04289-6
- * Tsay, Ruey S.; Analysis of Financial Time Series John Wiley & SONS. (2005), ISBN 0-471-690740
- * D. S.G. Pollock; Handbook of Time Series Analysis, Signal Processing, and Dynamics; Academic Press; Har/Cdr edition(Nov 17, 1999), ISBN: 125609906
- * Box, Jenkins and Reisel; Time Series Analysis: Forecasting and Control; John Wiley & SONS.; 4th edition(Jun 30, 2008), ISBN: 470272848
