Working Papers

Working Paper 165
Independence Tests based on Symbolic Dynamics

Helmut Elsinger

September 15, 2010 

 

The opinions are strictly those of the authors and in no way commit the OeNB.


Editorial

New methods to test whether a time series is i.i.d. are proposed in a recent series of papers (Matilla-García [2007], Matilla-García and Marín [2008], Matilla-García and Marín [2009], and Matilla-García et al. [2010]). The main idea is to map m-histories of a time series onto elements of the symmetric group. The observed frequencies of the different elements are then used to detect dependencies in the original series. The author will demonstrate that the results presented in the above papers are not correct in the suggested generality. Moreover, simulation results indicate that the performance of the original tests are not as good as betoken.



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