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Analysis of elliptical copula correlation factor model with Kendall's tau
Elliptical copula correlation matrix factor model Kendall’s tau nuclear norm penalty oracle inequality primal-dual certificate
2013/6/14
We study a factor model for the correlation matrix $\Sigma\in\RR^{d\times d}$ of an elliptical copula. The correlations are connected to Kendall's tau and a natural estimation procedure is to plug-in ...
False Discovery Rate Control under Archimedean Copula
Clayton copula exchangeability Gumbel cop-ula linear step-up test multiple hypotheses testing,p-values
2013/6/14
We prove that the linear step-up procedure $\vp^{LSU}$ considered by Benjamini and Hochberg (1995) controls the false discovery rate (FDR) in the case of dependent $p$-values whose dependency structur...
Ensemble Copula Coupling as a Multivariate Discrete Copula Approach
multivariate discrete copula stochastic array Sklar’s theorem statistical ensemble postprocessing ensemble copula coupling
2013/6/14
In probability and statistics, copulas play important roles theoretically as well as to address a wide range of problems in various application areas. In this paper, we introduce the concept of multiv...
Parameter estimation for pair-copula constructions
copulae efficiency empirical distribution functions hierarchical construction stepwise estimation vines
2013/4/28
We explore various estimators for the parameters of a pair-copula construction (PCC), among those the stepwise semiparametric (SSP) estimator, designed for this dependence structure. We present its as...