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Citation

Gong J, Wu W, McMillan D & Shi D (2015) Non-parametric estimation of copula parameters: testing for time-varying correlation. Studies in Nonlinear Dynamics and Econometrics, 19 (1), pp. 93-106. https://doi.org/10.1515/snde-2012-0089

Abstract
The correlation structure of financial assets is a key input with regard to portfolio and risk management. In this paper, we propose a non-parametric estimation method for the time-varying copula parameter. This is achieved in two steps: first, displaying the marginal distributions of financial asset returns by applying the empirical distribution function; second, by implementing the local likelihood method to estimate the copula parameters. The method for obtaining the optimal bandwidth through a maximum pseudo likelihood function and a statistical test on whether the copula parameter is time-varying are also introduced. A simulation study is conducted to show that our method is superior to its contender. Finally, we verify the proposed estimation methodology and time-varying statistical test by analysing the dynamic linkages between the Shanghai, Shenzhen and Hong Kong stock markets.

Keywords
dynamic dependence; kernel estimate; local likelihood estimation; stock returns; time-varying copula

Journal
Studies in Nonlinear Dynamics and Econometrics: Volume 19, Issue 1