Comparison of semiparametric and parametric methods for estimating copulas
Computational Statistics & Data Analysis
Semiparametric bivariate Archimedean copulas
Computational Statistics & Data Analysis
Copula density estimation by total variation penalized likelihood with linear equality constraints
Computational Statistics & Data Analysis
Dependence tree structure estimation via copula
International Journal of Automation and Computing
Nonparametric bivariate copula estimation based on shape-restricted support vector regression
Knowledge-Based Systems
Smooth Nonparametric Copula Estimation with Least Squares Support Vector Regression
Neural Processing Letters
Modeling financial dependence with support vector regression
Intelligent Data Analysis
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In this paper, we propose a method for constructing a new class of copulas. They are called linear B-spline copulas which are a good approximation of a given complicated copula by using finite numbers of values of this copula without the loss of some essential properties. Moreover, rigorous analysis shows that the empirical linear B-spline copulas are more effective than empirical copulas to estimate perfectly dependent copulas. For the cases of nonperfectly dependent copulas, simulations show that the empirical linear B-spline copulas also improve the empirical copulas to estimate the underlying copula structure. Furthermore, we compare the performance of parametric estimation of copulas based on the empirical copulas with that based on the empirical linear B-spline copulas by simulations. In most of the cases, the latter are better than the former.