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Quantile regression, that is the prediction of conditional quantiles, has steadily gained importance in statistical modeling and financial applications. The authors introduce a new semiparametric quantile regression method based on…

Methodology · Statistics 2016-11-17 Daniel Kraus , Claudia Czado

Regular vine copulas can describe a wider array of dependency patterns than the multivariate Gaussian copula or the multivariate Student's t copula. This paper presents two contributions related to model selection of regular vine copulas.…

Statistics Theory · Mathematics 2015-12-04 Lutz Gruber , Claudia Czado

Regular vine sequences permit the organisation of variables in a random vector along a sequence of trees. Regular vine models have become greatly popular in dependence modelling as a way to combine arbitrary bivariate copulas into…

Methodology · Statistics 2024-06-28 Anna Kiriliouk , Jeongjin Lee , Johan Segers

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…

Methodology · Statistics 2019-11-05 Alexander Kreuzer , Claudia Czado

We demonstrate how the uncertainty of parameter point estimates can be assessed in a maximum likelihood framework in order to prevent overfitting and erroneous detection of time-inhomogeneity. The class of models we consider are regular…

Computation · Statistics 2012-05-23 Jakob Stöber , Ulf Schepsmeier

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…

Methodology · Statistics 2021-09-24 Rosario Barone , Luciana Dalla Valle

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…

Statistics Theory · Mathematics 2012-06-07 Edith Kovacs , Tamas Szantai

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…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Shan Zhang , Lakshmi Narasimhan Theagarajan , Sora Choi , Pramod K. Varshney

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…

Methodology · Statistics 2022-03-16 Thomas Nagler , Daniel Krüger , Aleksey Min

We develop factor copula models for analysing the dependence among mixed continuous and discrete responses. Factor copula models are canonical vine copulas that involve both observed and latent variables, hence they allow tail, asymmetric…

Methodology · Statistics 2020-11-18 Sayed H. Kadhem , Aristidis K. Nikoloulopoulos

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…

Methodology · Statistics 2019-10-30 Bo Chang , Harry Joe

Modeling high-dimensional dependencies while keeping likelihoods tractable remains challenging. Classical vine-copula pipelines are interpretable but can be expensive, while many neural estimators are flexible but less structured. In this…

Machine Learning · Computer Science 2026-05-08 Houman Safaai

We propose a dependence-aware predictive modeling framework for multivariate risks stemmed from an insurance contract with bundling features - an important type of policy increasingly offered by major insurance companies. The bundling…

Methodology · Statistics 2023-10-17 Peng Shi , Zifeng Zhao

We propose a model for unbalanced longitudinal data, where the univariate margins can be selected arbitrarily and the dependence structure is described with the help of a D-vine copula. We show that our approach is an extremely flexible…

Methodology · Statistics 2017-05-18 Matthias Killiches , Claudia Czado

Modeling dependence in high dimensional systems has become an increasingly important topic. Most approaches rely on the assumption of a multivariate Gaussian distribution such as statistical models on directed acyclic graphs (DAGs). They…

Methodology · Statistics 2016-12-01 Dominik Müller , Claudia Czado

We employ and examine vine copulas in modeling symmetric and asymmetric dependency structures and forecasting financial returns. We analyze the asset allocations performed during the 2008-2009 financial crisis and test different portfolio…

Portfolio Management · Quantitative Finance 2019-12-24 Maziar Sahamkhadam , Andreas Stephan

In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

Applications · Statistics 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado

Copulas are popular as models for multivariate dependence because they allow the marginal densities and the joint dependence to be modeled separately. However, they usually require that the transformation from uniform marginals to the…

Methodology · Statistics 2013-06-14 Minh-Ngoc Tran , Paolo Giordani , Xiuyan Mun , Robert Kohn , Mike Pitt

The original development of Shapley values for prediction explanation relied on the assumption that the features being described were independent. If the features in reality are dependent this may lead to incorrect explanations. Hence,…

Methodology · Statistics 2021-02-15 Kjersti Aas , Thomas Nagler , Martin Jullum , Anders Løland

Vine copulas are a type of multivariate dependence model, composed of a collection of bivariate copulas that are combined according to a specific underlying graphical structure. Their flexibility and practicality in moderate and high…

Statistics Theory · Mathematics 2022-07-19 Emma S. Simpson , Jennifer L. Wadsworth , Jonathan A. Tawn
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