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We propose a copula-based measure of asymmetry between the lower and upper tail probabilities of bivariate distributions. The proposed measure has a simple form and possesses some desirable properties as a measure of asymmetry. The limit of…

Methodology · Statistics 2020-08-05 Shogo Kato , Toshinao Yoshiba , Shinto Eguchi

Financial crises are usually associated with increased cross-sectional dependence between asset returns, causing asymmetry between the lower and upper tail of return distribution. The detection of asymmetric dependence is now understood to…

Econometrics · Economics 2025-01-07 Lorenzo Frattarolo

We use principle component analysis (PCA) of cross correlations in European government bonds and European stocks to investigate the systemic risk contained in the European economy. We tackle the task to visualize the evolution of risk,…

Statistical Finance · Quantitative Finance 2015-07-09 Jan Jurczyk , Alexander Eckrot

We propose a new bivariate symmetric copula with positive and negative dependence properties. The main features of the proposed copula are its simple mathematical structure, wider dependence range compared to FGM copula and its…

Statistics Theory · Mathematics 2024-08-29 Swaroop Georgy Zachariah , Mohd. Arshad , Ashok Kumar Pathak

When scholars study joint distributions of multiple variables, copulas are useful. However, if the variables are not linearly correlated with each other yet are still not independent, most of conventional copulas are not up to the task.…

Methodology · Statistics 2023-08-08 Kentaro Fukumoto

Normal copula with a correlation coefficient between $-1$ and $1$ is tail independent and so it severely underestimates extreme probabilities. By letting the correlation coefficient in a normal copula depend on the sample size, H\"usler and…

Methodology · Statistics 2016-05-04 Xin Liao , Liang Peng , Zuoxiang Peng , Yanting Zheng

This paper examines the degree of integration at euro area financial markets. To that end, we estimate overall and country-specific integration indices based on a panel vector-autoregression with factor stochastic volatility. Our results…

Econometrics · Economics 2023-10-13 Martin Feldkircher , Karin Klieber

One of the findings of the recent literature is that the 2008 financial crisis caused reduction in international diversification benefits. To fully understand the possible potential from diversification, we build an empirical model which…

Portfolio Management · Quantitative Finance 2013-09-27 Krenar Avdulaj , Jozef Barunik

We call two copulas tail equivalent if their first-order approximations in the tail coincide. As a special case, a copula is called tail symmetric if it is tail equivalent to the associated survival copula. We propose a novel measure and…

Methodology · Statistics 2024-07-22 Takaaki Koike , Shogo Kato , Toshinao Yoshiba

We show how bad and good volatility propagate through forex markets, i.e., we provide evidence for asymmetric volatility connectedness on forex markets. Using high-frequency, intra-day data of the most actively traded currencies over 2007 -…

General Finance · Quantitative Finance 2016-07-28 Jozef Barunik , Evzen Kocenda , Lukas Vacha

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

We study the co-movement of the 10-year sovereign bond yields of 11 EU countries. Our analysis is focused mainly on changes in co-movement during the financial crisis period, especially around two significant dates - the fall of Lehman…

Economics · Quantitative Finance 2016-03-25 Filip Smolik , Lukas Vacha

Classical models for multivariate or spatial extremes are mainly based upon the asymptotically justified max-stable or generalized Pareto processes. These models are suitable when asymptotic dependence is present, i.e., the joint tail…

Methodology · Statistics 2021-05-13 Zhongwei Zhang , Raphaël Huser , Thomas Opitz , Jennifer L. Wadsworth

We develop an asymptotic theory for extremes in decomposable graphical models by presenting results applicable to a range of extremal dependence types. Specifically, we investigate the weak limit of the distribution of suitably normalised…

Statistics Theory · Mathematics 2023-02-13 Adrian Casey , Ioannis Papastathopoulos

We introduce a novel model for time-varying, asymmetric, tail-dependent copulas in high dimensions that incorporates both spectral dynamics and regularization. The dynamics of the dependence matrix' eigenvalues are modeled in a score-driven…

Econometrics · Economics 2026-01-21 Koos B. Gubbels , Andre Lucas

We propose a new semi-parametric distributional regression smoother that is based on a copula decomposition of the joint distribution of the vector of response values. The copula is high-dimensional and constructed by inversion of a pseudo…

Methodology · Statistics 2020-06-30 Michael Stanley Smith , Nadja Klein

In this paper we introduce some new copulas emerging from shock models. It was shown earlier that reflected maxmin copulas (RMM for short) are not just some specific singular copulas; they contain many important absolutely continuous…

Statistics Theory · Mathematics 2023-08-09 Damjana Kokol Bukovšek , Tomaž Košir , Blaž Mojškerc , Matjaž Omladič

Gaussian copulas are widely used in the industry to correlate two random variables when there is no prior knowledge about the co-dependence between them. The perturbed Gaussian copula approach allows introducing the skew information of both…

Pricing of Securities · Quantitative Finance 2012-02-10 Alberto Elices , Jean-Pierre Fouque

Modifications of the Cont-Bouchaud percolation model for price fluctuations give an asymmetry for time-reversal, an asymmetry between high and low prices, volatility clustering, effective multifractality, correlations between volatility and…

Statistical Mechanics · Physics 2007-05-23 I. Chang , D. Stauffer , R. B. Pandey

We study the dependence structure of market states by estimating empirical pairwise copulas of daily stock returns. We consider both original returns, which exhibit time-varying trends and volatilities, as well as locally normalized ones,…

Statistical Finance · Quantitative Finance 2015-09-30 Desislava Chetalova , Marcel Wollschläger , Rudi Schäfer
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