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This paper investigates the problem of testing for the symmetry of linear time series driven by asymmetric innovations. In particular, we examine the performance of alternative symmetry tests when innovations are fat tailed. Among the tests considered, only the test based on the tail estimator of the spectral measure yields satisfactory results in the presence of fat-tailed innovations.
Keywords: Symmetry; Multivariate symmetry; Symmetry test; Characteristic symmetry function; Spectral measure
Published Online: 1996-10-1
©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston
