# NDK_REVERSE

 int __stdcall NDK_REVERSE ( double * X, size_t N )

Returns the time-reversed order time series (i.e. the first observation is swapped with the last observation, etc.): both missing and non-missing values.

Returns
status code of the operation
Return values
 NDK_SUCCESS Operation successful NDK_FAILED Operation unsuccessful. See Macros for full list.
Parameters
 [in,out] X is the univariate time series data (a one dimensional array). [in] N is the number of observations in X.
Remarks
1. The time series is homogeneous or equally spaced.
2. The reverse operator changes the time-order from ascending to descending or vice versa: $\left[z_t\right] = \left[x_{T-t}\right]$ Where:
• $$\left[z_t\right]$$ is the reversed time series.
• $$\left[x_t\right]$$ is the input time series.
• $$T$$ is the number of observations (including missing values) in the input time series.
3. The returned array has the same size as the input time series.
Requirements
Examples



 Namespace: NumXLAPI Class: SFSDK Scope: Public Lifetime: Static
 int NDK_REVERSE ( double[] data, UIntPtr nSize )

Returns the time-reversed order time series (i.e. the first observation is swapped with the last observation, etc.): both missing and non-missing values.

Returns
status code of the operation
Return values
 NDK_SUCCESS Operation successful NDK_FAILED Operation unsuccessful. See Macros for full list.
Parameters
 [in,out] data is the univariate time series data (a one dimensional array). [in] nSize is the number of observations in data.
Remarks
1. The time series is homogeneous or equally spaced.
2. The reverse operator changes the time-order from ascending to descending or vice versa: $\left[z_t\right] = \left[x_{T-t}\right]$ Where:
• $$\left[z_t\right]$$ is the reversed time series.
• $$\left[x_t\right]$$ is the input time series.
• $$T$$ is the number of observations (including missing values) in the input time series.
3. The returned array has the same size as the input time series.
Exceptions
Exception Type Condition
None N/A
Requirements
Namespace NumXLAPI SFSDK Public Static 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