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Related papers: Perturbed Copula: Introducing the skew effect in t…

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Multivariate distributions that allow for asymmetry and heavy tails are important building blocks in many econometric and statistical models. The Unified Skew-t (UST) is a promising choice because it is both scalable and allows for a high…

Methodology · Statistics 2025-05-19 Lin Deng , Michael Stanley Smith , Worapree Maneesoonthorn

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

Applications · Statistics 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

The partial correlation coefficient is a commonly used measure to assess the conditional dependence between two random variables. We provide a thorough explanation of the partial copula, which is a natural generalization of the partial…

Methodology · Statistics 2017-06-13 Fabian Spanhel , Malte S. Kurz

We propose a Gaussian-copula-based framework that learns deal-level dependence directly from observed joint success frequencies across founder, geography, and market attributes. Holding marginal deal success probabilities fixed, deal-level…

Portfolio Management · Quantitative Finance 2026-04-28 Yunqi Liang , Hasan Ugur Koyluoglu , Fuat Alican , Yigit Ihlamur

The class of index-mixed copulas is introduced and its properties are investigated. Index-mixed copulas are constructed from given base copulas and a random index vector, and show a rather remarkable degree of analytical tractability. The…

Methodology · Statistics 2023-08-10 Klaus Herrmann , Marius Hofert , Nahid Sadr

In this paper we provide evidence that financial option markets for equity indices give rise to non-trivial dependency structures between its constituents. Thus, if the individual constituent distributions of an equity index are inferred…

Pricing of Securities · Quantitative Finance 2009-09-22 Alex Langnau

Correlation mixtures of elliptical copulas arise when the correlation parameter is driven itself by a latent random process. For such copulas, both penultimate and asymptotic tail dependence are much larger than for ordinary elliptical…

Statistics Theory · Mathematics 2009-12-21 Hans Manner , Johan Segers

Recently there has been an increasing interest in methods that deal with multiple outputs. This has been motivated partly by frameworks like multitask learning, multisensor networks or structured output data. From a Gaussian processes…

Machine Learning · Statistics 2009-11-30 Mauricio A. Álvarez , Neil D. Lawrence

It is well known that the probability distribution of high-frequency financial returns is characterized by a leptokurtic, heavy-tailed shape. This behavior undermines the typical assumption of Gaussian log-returns behind the standard…

Statistical Finance · Quantitative Finance 2023-06-14 Federica De Domenico , Giacomo Livan , Guido Montagna , Oreste Nicrosini

Modern cell-perturbation experiments expose cells to panels of hundreds of stimuli, such as cytokines or CRISPR guides that perform gene knockouts. These experiments are designed to investigate whether a particular gene is upregulated or…

Applications · Statistics 2023-07-24 Jackson Loper , Noam Solomon , Jeffrey Regier

In the paper, we use and investigate copulas models to represent multivariate dependence in financial time series. We propose the algorithm of risk measure computation using copula models. Using the optimal mean-$CVaR$ portfolio we compute…

Risk Management · Quantitative Finance 2017-07-13 Mikhail Semenov , Daulet Smagulov

This paper explores the impact of perturbations of copulas on the dependence properties of the Markov chains they generate. We consider Markov chains generated by perturbed copulas. Results are provided for the mixing coefficients…

Probability · Mathematics 2021-06-11 Martial Longla , Fidel Djongreba Ndikwa , Mathias Muia Nthiani , Patrice Takam Soh

This paper develops an analytical method of truncating inequality constrained Gaussian distributed variables where the constraints are themselves described by Gaussian distributions. Existing truncation methods either assume hard…

Systems and Control · Computer Science 2016-06-08 Andrew W. Palmer , Andrew J. Hill , Steven J. Scheding

We investigate how the local fluctuations of the signed traded volumes affect the dependence of demands between stocks. We analyze the empirical dependence of demands using copulas and show that they are well described by a bivariate…

Trading and Market Microstructure · Quantitative Finance 2018-04-04 Shanshan Wang , Thomas Guhr

A copula of continuous random variables $X$ and $Y$ is called an \emph{implicit dependence copula} if there exist functions $\alpha$ and $\beta$ such that $\alpha(X) = \beta(Y)$ almost surely, which is equivalent to $C$ being factorizable…

Statistics Theory · Mathematics 2016-06-29 Songkiat Sumetkijakan

Finding parametric models that accurately describe the dependence structure of observed data is a central task in the analysis of time series. Classical frequency domain methods provide a popular set of tools for fitting and diagnostics of…

Methodology · Statistics 2019-01-18 Stefan Birr , Tobias Kley , Stanislav Volgushev

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions separately from the dependence structure (copula) that links them to…

Methodology · Statistics 2021-09-09 Nicolás Kuschinski , Alejandro Jara

A semiparametric copula-based two-part quantile regression framework is developed for the analysis of semicontinuous outcomes characterized by a point mass at zero and a continuous positive component. The proposed approach models the…

Methodology · Statistics 2026-03-17 Guanjie Lyu , Mohamed Belalia , Abdulkadir Hussein

This paper generalizes stochastic collocation methods to handle correlated non-Gaussian random parameters. The key challenge is to perform a multivariate numerical integration in a correlated parameter space when computing the coefficient…

Numerical Analysis · Computer Science 2018-08-28 Chunfeng Cui , Zheng Zhang

We propose a novel method for sensitivity analysis to unobserved confounding in causal inference. The method builds on a copula-based causal graphical normalizing flow that we term $\rho$-GNF, where $\rho \in [-1,+1]$ is the sensitivity…

Methodology · Statistics 2025-08-13 Sourabh Balgi , Marc Braun , Jose M. Peña , Adel Daoud