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In recent years, conditional copulas, that allow dependence between variables to vary according to the values of one or more covariates, have attracted increasing attention. In high dimension, vine copulas offer greater flexibility compared…

统计方法学 · 统计学 2021-09-24 Rosario Barone , Luciana Dalla Valle

Vine copulas are a flexible class of dependence models consisting of bivariate building blocks and have proven to be particularly useful in high dimensions. Classical model distance measures require multivariate integration and thus suffer…

统计方法学 · 统计学 2016-04-22 Matthias Killiches , Daniel Kraus , Claudia Czado

We propose a class of dynamic vine copula models. This is an extension of static vine copulas and a generalization of dynamic C-vine and D-vine copulas studied by Almeida et al (2016) and Goel and Mehra (2019). Within this class, we allow…

统计方法学 · 统计学 2019-11-05 Alexander Kreuzer , Claudia Czado

So called pair copula constructions (PCCs), specifying multivariate distributions only in terms of bivariate building blocks (pair copulas), constitute a flexible class of dependence models. To keep them tractable for inference and model…

统计方法学 · 统计学 2012-05-23 Jakob Stöber , Harry Joe , Claudia Czado

A novel approach for dynamic modeling and forecasting of realized covariance matrices is proposed. Realized variances and realized correlation matrices are jointly estimated. The one-to-one relationship between a positive definite…

统计方法学 · 统计学 2019-02-18 Nicole Barthel , Claudia Czado , Yarema Okhrin

In this paper, we propose a regular vine copula based methodology for the fusion of correlated decisions. Regular vine copula is an extremely flexible and powerful graphical model to characterize complex dependence among multiple…

信号处理 · 电气工程与系统科学 2019-03-27 Shan Zhang , Lakshmi Narasimhan Theagarajan , Sora Choi , Pramod K. Varshney

In this paper, we concentrate on new methodologies for copulas introduced and developed by Joe, Cooke, Bedford, Kurowica, Daneshkhah and others on the new class of graphical models called vines as a way of constructing higher dimensional…

统计计算 · 统计学 2012-10-30 Alireza Daneshkhah , Golamali Parham , Omid Chatrabgoun , M. Jokar

The key to VI is the selection of a tractable density to approximate the Bayesian posterior. For large and complex models a common choice is to assume independence between multivariate blocks in a partition of the parameter space. While…

机器学习 · 统计学 2025-10-07 Yu Fu , Michael Stanley Smith , Anastasios Panagiotelis

Vine copulas are a flexible tool for multivariate non-Gaussian distributions. For data from an observational study where the explanatory variables and response variables are measured together, a proposed vine copula regression method uses…

统计方法学 · 统计学 2019-10-30 Bo Chang , Harry Joe

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

统计金融 · 定量金融 2023-05-16 Jia Xu , Longbing Cao

Vine copulas, constructed using bivariate copulas as building blocks, provide a flexible framework for modeling multi-dimensional dependencies. However, this flexibility is accompanied by rapidly increasing complexity as dimensionality…

统计方法学 · 统计学 2025-04-25 Ichiro Nishi , Yoshinori Kawasaki

Vine copula models have become highly popular and practical tools for modelling multivariate probability distributions due to their flexibility in modelling different kinds of dependences between the random variables involved. However,…

统计方法学 · 统计学 2025-12-17 Dániel Pfeifer , Edith Alice Kovács

The increasing use of vine copulas in high-dimensional settings, where the number of parameters is often of the same order as the sample size, calls for asymptotic theory beyond the traditional fixed-$p$, large-$n$ framework. We establish…

统计理论 · 数学 2026-05-28 Jana Gauss , Thomas Nagler

Vine copulas are a flexible way for modeling dependences using only pair-copulas as building blocks. However if the number of variables grows the problem gets fast intractable. For dealing with this problem Brechmann at al. proposed the…

统计方法学 · 统计学 2016-07-05 Edith Kovács , Tamás Szántai

Copulas allow to learn marginal distributions separately from the multivariate dependence structure (copula) that links them together into a density function. Vine factorizations ease the learning of high-dimensional copulas by constructing…

统计方法学 · 统计学 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

In this paper, we revisit the notion of partial copula, originally introduced to test conditional independence, highlighting its capability to represent the dependence between two random variables after removing their dependence with a…

统计方法学 · 统计学 2026-05-26 Vinícius Litvinoff Justus , Felipe Fontana Vieira

The statistical analysis of univariate quantiles is a well developed research topic. However, there is a need for research in multivariate quantiles. We construct bivariate (conditional) quantiles using the level curves of vine copula based…

统计方法学 · 统计学 2023-07-04 Marija Tepegjozova , Claudia Czado

Building higher-dimensional copulas is generally recognized as a difficult problem. Regular-vines using bivariate copulas provide a flexible class of high-dimensional dependency models. In large dimensions, the drawback of the model is the…

统计理论 · 数学 2012-06-07 Edith Kovacs , Tamas Szantai

Multivariate time series exhibit two types of dependence: across variables and across time points. Vine copulas are graphical models for the dependence and can conveniently capture both types of dependence in the same model. We derive the…

统计方法学 · 统计学 2022-03-16 Thomas Nagler , Daniel Krüger , Aleksey Min

We introduce a new goodness-of-fit test for regular vine (R-vine) copula models. R-vine copulas are a very flexible class of multivariate copulas based on a pair-copula construction (PCC). The test arises from the information matrix…

统计计算 · 统计学 2013-06-05 Ulf Schepsmeier