Let[Sigma]be an unknown covariance matrix. Perturbation (in)equalities are derived for various scale-invariant functionals of[Sigma]such as correlations (including partial, multiple and canonical correlations) or angles between eigenspaces. These results show that a particular confidence set...

The restoration techniques are usually oriented toward modeling the type of degradation in order to infer the inverse process for recovering the given image. This approach usually involves the option for a criterion to numerically evaluate the quality of the resulted image and consequently the...

This paper applies likelihood-based panel cointegration techniques to examine the existence of a long run relationship between GDP, tourism earnings per tourist and total trade volume for a panel of European countries over the period 1988–2010. Removing the cross dependency, our panel...

The finding of nonlinear cointegration between Asian exchange rates with the corresponding relatives prices and aggregate price levels based on Breitung’s (2001) nonparametric rank tests reinforces previous validations of Purchasing Power Parity by the parametric testing procedures. Hence, in...

Recent advances in nonlinear cointegration analysis find evidence for a nonlinear long-run relation between the U.S. interest rate and inflation. Employing the Breitung's (2001) rank tests for nonlinear cointegration, we find herein little evidence for cointegration in the U.S. data. We also...

The finding of nonlinear cointegration between Asian exchange rates with the corresponding relatives prices and aggregate price levels based on Breitung’s (2001) nonparametric rank tests reinforces previous validations of Purchasing Power Parity by the parametric testing procedures. Hence, in...

This paper applies likelihood-based panel cointegration techniques to examine the existence of a long run relationship between GDP, tourism earnings per tourist and total trade volume for a panel of European countries over the period 1988{2010. Removing the cross dependency, our panel...