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This paper provides a simple, yet reliable, alternative to the (Bayesian) estimation of large multivariate VARs with time variation in the conditional mean equations and/or in the covariance structure. With our new methodology, the original…

Econometrics · Economics 2020-01-01 Mike Tsionas , Marwan Izzeldin , Lorenzo Trapani

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…

Methodology · Statistics 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

Statistics Theory · Mathematics 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

Multivariate mixed-type outcomes are difficult to model jointly, and additional complexity arises when both marginal effects and dependence structures vary with a covariate such as age or time. Existing approaches often impose restrictive…

Methodology · Statistics 2026-04-15 Yujin Jeong , Seonghyun Jeong

We define a copula process which describes the dependencies between arbitrarily many random variables independently of their marginal distributions. As an example, we develop a stochastic volatility model, Gaussian Copula Process Volatility…

Methodology · Statistics 2010-06-24 Andrew Gordon Wilson , Zoubin Ghahramani

Copula models are flexible tools to represent complex structures of dependence for multivariate random variables. According to Sklar's theorem (Sklar, 1959), any d-dimensional absolutely continuous density can be uniquely represented as the…

Methodology · Statistics 2021-03-05 Clara Grazian , Luciana Dalla Valle , Brunero Liseo

All too often measuring statistical dependencies between financial time series is reduced to a linear correlation coefficient. However this may not capture all facets of reality. We study empirical dependencies of daily stock returns by…

Statistical Finance · Quantitative Finance 2017-09-01 Marcel Wollschläger , Rudi Schäfer

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

Methodology · Statistics 2018-05-22 Feng Li , Yanfei Kang

Conditional copulas are flexible statistical tools that couple joint conditional and marginal conditional distributions. In a linear regression setting with more than one covariate and two dependent outcomes, we propose the use of additive…

Methodology · Statistics 2014-07-31 Avideh Sabeti , Mian Wei , Radu V. Craiu

Predicting the dependencies between observations from multiple time series is critical for applications such as anomaly detection, financial risk management, causal analysis, or demand forecasting. However, the computational and numerical…

Machine Learning · Computer Science 2019-10-28 David Salinas , Michael Bohlke-Schneider , Laurent Callot , Roberto Medico , Jan Gasthaus

Parametric conditional copula models allow the copula parameters to vary with a set of covariates according to an unknown calibration function. Flexible Bayesian inference for the calibration function of a bivariate conditional copula is…

Methodology · Statistics 2017-05-26 Evgeny Levi , Radu V. Craiu

In Financial Signal Processing, multiple time series such as financial indicators, stock prices and exchange rates are strongly coupled due to their dependence on the latent state of the market and therefore they are required to be jointly…

Statistical Finance · Quantitative Finance 2020-02-17 Taco de Wolff , Alejandro Cuevas , Felipe Tobar

Using one of the key property of copulas that they remain invariant under an arbitrary monotonous change of variable, we investigate the null hypothesis that the dependence between financial assets can be modeled by the Gaussian copula. We…

Statistical Mechanics · Physics 2009-11-07 Y. Malevergne , D. Sornette

We propose a score test for dependence predictability in conditional copulas that is robust to temporal instabilities. Our semiparametric procedure accommodates flexible dynamics in the marginal processes and remains agnostic about the…

Econometrics · Economics 2026-03-03 Alexander Mayer , Tatsushi Oka , Dominik Wied

We consider multivariate copula-based stationary time-series under Gaussian subordination. Observed time series are subordinated to long-range dependent Gaussian processes and characterized by arbitrary marginal copula distributions. First…

Statistics Theory · Mathematics 2018-03-16 Yusufu Simayi

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay

Copula models have become one of the most widely used tools in the applied modelling of multivariate data. Similarly, Bayesian methods are increasingly used to obtain efficient likelihood-based inference. However, to date, there has been…

Methodology · Statistics 2015-10-13 Michael Stanley Smith

An approach is proposed to determine structural shift in time-series assuming non-linear dependence of lagged values of dependent variable. Copulas are used to model non-linear dependence of time series components.

General Finance · Quantitative Finance 2016-09-19 Henry Penikas

Factor models are a parsimonious way to explain the dependence of variables using several latent variables. In Gaussian 1-factor and structural factor models (such as bi-factor, oblique factor) and their factor copula counterparts, factor…

Methodology · Statistics 2022-05-31 Xinyao Fan , Harry Joe

We propose a new class of extreme-value copulas which are extreme-value limits of conditional normal models. Conditional normal models are generalizations of conditional independence models, where the dependence among observed variables is…

Methodology · Statistics 2021-02-16 Pavel Krupskii , Marc G. Genton
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