Copula Density Estimation by Total Variation Penalized Likelihood
Document Type
Article
Publication Date
10-1-2009
Abstract
Copulas are full measures of dependence among random variables. They are increasingly popular among academics and practitioners in financial econometrics for modeling comovements between markets, risk factors, and other relevant variables. A copula's hidden dependence structure that couples a joint distribution with its marginals makes a parametric copula non-trivial. An approach to bivariate copula density estimation is introduced that is based on a penalized likelihood with a total variation penalty term. Adaptive choice of the amount of regularization is based on approximate Bayesian Information Criterion (BIC) type scores. Performance are evaluated through the Monte Carlo simulation.
Publication Information
Qu, Leming; Qian, Yi; and Xie, Hui. (2009). "Copula Density Estimation by Total Variation Penalized Likelihood". Communications in Statistics - Simulation and Computation, 38(9), 1891-1908. https://doi.org/10.1080/03610910903168587