Francq, Christian and Jiménez Gamero, Maria Dolores and Meintanis, Simos (2015): Tests for sphericity in multivariate garch models.

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Abstract
Tests for spherical symmetry of the innovation distribution are proposed in multivariate GARCH models. The new tests are of KolmogorovSmirnov and Cram\'ervon Misestype and make use of the common geometry underlying the characteristic function of any spherically symmetric distribution. The asymptotic null distribution of the test statistics as well as the consistency of the tests is investigated under general conditions. It is shown that both the finite sample and the asymptotic null distribution depend on the unknown distribution of the Euclidean norm of the innovations. Therefore a conditional Monte Carlo procedure is used to actually carry out the tests. The validity of this resampling scheme is formally justified. Results on the behavior of the test in finitesamples are included, as well as an application on financial data.
Item Type:  MPRA Paper 

Original Title:  Tests for sphericity in multivariate garch models 
Language:  English 
Keywords:  Extended CCCGARCH; Spherical symmetry; Empirical characteristic function; Conditional Monte Carlo test 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C12  Hypothesis Testing: General C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C15  Statistical Simulation Methods: General C  Mathematical and Quantitative Methods > C3  Multiple or Simultaneous Equation Models ; Multiple Variables > C32  TimeSeries Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models C  Mathematical and Quantitative Methods > C5  Econometric Modeling > C58  Financial Econometrics 
Item ID:  67411 
Depositing User:  Christian Francq 
Date Deposited:  23 Oct 2015 12:29 
Last Modified:  26 Sep 2019 09:02 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/67411 