Archimedean copula estimation using Bayesian splines smoothing techniques
Computational Statistics & Data Analysis
Copula, marginal distributions and model selection: a Bayesian note
Statistics and Computing
Computational Statistics & Data Analysis
Conditional copulas, association measures and their applications
Computational Statistics & Data Analysis
Beyond simplified pair-copula constructions
Journal of Multivariate Analysis
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Conditional copula models are flexible tools for modelling complex dependence structures in regression settings. We construct Bayesian inference for the conditional copula model adapted to regression settings in which the bivariate outcome is continuous or mixed. The dependence between the copula parameter and the covariate is modelled using cubic splines. The proposed joint Bayesian inference is carried out using adaptive Markov chain Monte Carlo sampling. The deviance information criterion (DIC) is used for selecting the copula family that best approximates the data and for choosing the calibration function. The performances of the estimation and model selection methods are investigated using simulations.