Read e-book online A Nonlinear Time Series Workshop: A Toolkit for Detecting PDF

By Douglas M. Patterson

ISBN-10: 144198688X

ISBN-13: 9781441986887

ISBN-10: 1461346657

ISBN-13: 9781461346654

The complicated dynamic habit exhibited via many nonlinear structures - chaos, episodic volatility bursts, stochastic regimes switching - has attracted a great deal of cognizance lately. A Nonlinear Time sequence Workshop offers the reader with either the statistical heritage and the software program instruments beneficial for detecting nonlinear habit in time sequence information. the main beneficial present detection recommendations are defined, together with Engle's LaGrange Multiplier try for conditional hetero-skedasticity and checks in line with the correlation size and at the anticipated bispectrum. those strategies are illustrated utilizing real information from fields comparable to economics, finance, engineering, and geophysics.

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Extra info for A Nonlinear Time Series Workshop: A Toolkit for Detecting and Identifying Nonlinear Serial Dependence

Sample text

The smoothing parameter M defined in Chapter 2 will be set to the integer nearest to NO-e); a typical value for e would be 0040 . line 7: Control line for the BDS test. The first item on this line must be a lower case "y" to specify that the test will be done or a lower case "n" to specify that the test not be done. Then enter 5 zeroes, each separated by at least one space, then four zeroes with decimal points. line 8: Control line for the Bicovariance test. It is filled out the same as line 7.

Two time series of length 2000 were generated using a Gaussian pseudo random number generator. The first series, {lll}, is Gaussian pure white noise with un it var iance . 113 above. The {Xl} series was Studentized, thereby forcing its sample variance to unity. Next, each series was divided into subgroups of 100 observ ations each and the sample variance of each subgroup was calculated. In Table 1-1, we list the sample variances for each subgroup. For the pure white noise series, {ll,}, an estimated 95% confidence interval is also given.

O. O. O. 7) * Engle LM test * Tsay test * start record-end record 0 means last rec Save the control file and exit the text editor or word processor. If you use a word processor, be sure the file is saved as an ASCII or text file. 3. exe" in the Windows Explorer file listing or open a DOS box in Windows, go to the directory where the program is located, and type "toolkit" at a DOS prompt. ) 4. out, is too large to be easily displayed in a single figure . Therefore, we have used Figures 3-2 to 3-6 to display subsections ofthe output file .

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A Nonlinear Time Series Workshop: A Toolkit for Detecting and Identifying Nonlinear Serial Dependence by Douglas M. Patterson

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