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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

As drought is among the natural hazards which affects people and economies worldwide and often results in huge monetary losses sophisticated methods for drought monitoring and decision making are needed. Several different approaches to…

应用统计 · 统计学 2015-08-27 Tobias M. Erhardt , Claudia Czado

To quantify the uncertainty in numerical weather prediction (NWP) forecasts, ensemble prediction systems are utilized. Although NWP forecasts continuously improve, they suffer from systematic bias and dispersion errors. To obtain well…

应用统计 · 统计学 2026-01-30 Ferdinand Buchner , David Jobst , Annette Möller , Claudia Czado

Using German forest health monitoring data we investigate the main drivers leading to tree mortality and the association between defoliation and mortality; in particular (a) whether defoliation is a proxy for other covariates (climate,…

Today weather forecasting is conducted using numerical weather prediction (NWP) models, consisting of a set of differential equations describing the dynamics of the atmosphere. The output of such NWP models are single deterministic…

应用统计 · 统计学 2018-11-07 Annette Möller , Ludovica Spazzini , Daniel Kraus , Thomas Nagler , Claudia Czado

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 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…

投资组合管理 · 定量金融 2019-12-24 Maziar Sahamkhadam , Andreas Stephan

Vine copulas are flexible dependence models using bivariate copulas as building blocks. If the parameters of the bivariate copulas in the vine copula depend on covariates, one obtains a conditional vine copula. We propose an extension for…

统计方法学 · 统计学 2024-06-21 David Jobst , Annette Möller , Jürgen Groß

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

Regular vine distributions which constitute a flexible class of multivariate dependence models are discussed. Since multivariate copulae constructed through pair-copula decompositions were introduced to the statistical community, interest…

统计方法学 · 统计学 2012-11-26 Jeffrey Dissmann , Eike Christian Brechmann , Claudia Czado , Dorota Kurowicka

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

This paper presents applications of the peaks-over threshold methodology for both the univariate and the recently introduced bivariate case, combined with a novel bootstrap approach. We compare the proposed bootstrap methods to the more…

统计理论 · 数学 2013-10-30 László Varga , Pál Rakonczai , András Zempléni

Climate model large ensembles are an essential research tool for analysing and quantifying natural climate variability and providing robust information for rare extreme events. The models simulated representations of reality are susceptible…

应用统计 · 统计学 2025-05-16 Henri Funk , Ralf Ludwig , Helmut Kuechenhoff , Thomas Nagler

We present a vine copula based composite likelihood approach to model spatial dependencies, which allows to perform prediction at arbitrary locations. This approach combines established methods to model (spatial) dependencies. On the one…

统计方法学 · 统计学 2014-07-04 Tobias Michael Erhardt , Claudia Czado , Ulf Schepsmeier

We introduce a novel forecasting model for crop yields that explicitly accounts for spatio-temporal dependence and the influence of extreme weather and climatic events. Our approach combines Bayesian Structural Time Series for modeling…

统计方法学 · 统计学 2025-04-01 Marie Michaelides , Mélina Mailhot , Yongkun Li

The time-varying Vine Copula model has become a new direction in the Vine Copula class of models due to its time-varying structural parameters. We have observed that the Vine structures of the time-varying Vine Copula model currently used…

应用统计 · 统计学 2025-09-16 XueZeng Yu

We introduce an extension of R-vine copula models for the purpose of spatial dependency modeling and model based prediction at unobserved locations. The newly derived spatial R-vine model combines the flexibility of vine copulas with the…

统计方法学 · 统计学 2014-03-17 Tobias Michael Erhardt , Claudia Czado , Ulf Schepsmeier

Temporal, spatial or spatio-temporal probabilistic models are frequently used for weather forecasting. The D-vine (drawable vine) copula quantile regression (DVQR) is a powerful tool for this application field, as it can automatically…

统计方法学 · 统计学 2023-09-12 David Jobst , Annette Möller , Jürgen Groß

Extreme weather poses a large risk to critical energy systems (Ekisheva, Rieder, Norris, Lauby, & Dobson 2021; Levin, Botterud, Mann, Kwon, & Zhou 2022). Uncertainty quantification of negative impacts is important for developing resilience,…

统计方法学 · 统计学 2026-03-11 Mitchell L. Krock , W. Neal Mann , Zhi Zhou

In this paper we propose a flexible class of multivariate nonlinear non-Gaussian state space models, based on copulas. More precisely, we assume that the observation equation and the state equation are defined by copula families that are…

统计方法学 · 统计学 2019-11-04 Alexander Kreuzer , Luciana Dalla Valle , Claudia Czado
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