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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

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 propose a novel extremal dependence measure called the partial tail-correlation coefficient (PTCC), in analogy to the partial correlation coefficient in classical multivariate analysis. The construction of our new coefficient is based on…

Methodology · Statistics 2022-11-23 Yan Gong , Peng Zhong , Thomas Opitz , Raphaël Huser

The goal of this paper is two-fold: 1. We review classical and recent measures of serial extremal dependence in a strictly stationary time series as well as their estimation. 2. We discuss recent concepts of heavy-tailed time series,…

Statistics Theory · Mathematics 2013-03-27 Richard A. Davis , Thomas Mikosch , Yuwei Zhao

Over the last couple of decades, several copula based methods have been proposed in the literature to test for the independence among several random variables. But these existing tests are not invariant under monotone transformations of the…

Statistics Theory · Mathematics 2019-11-15 Angshuman Roy , Anil Ghosh , Alok Goswami , C. A. Murthy

It is well-known that the expected scaled maximum of non-negative random variables with unit mean defines a stable tail dependence function associated with some extreme-value copula. In the special case when these random variables are…

Methodology · Statistics 2018-05-30 Jan-Frederik Mai

In this paper, we focus on stochastic comparisons of extreme order statistics stemming from multiple-outlier scale models with dependence. Archimedean copula is used to model dependence structure among nonnegative random variables.…

Statistics Theory · Mathematics 2020-12-16 Sangita Das , Suchandan Kayal

We study the asymptotic behaviour of widely used tests for evaluating and comparing predictive accuracy when forecast errors exhibit heavy tails. In particular, when loss differentials have infinite variance, the Diebold-Mariano test…

Methodology · Statistics 2026-05-20 Jonas F. Frederiksen , Muneya Matsui , Rasmus S. Pedersen

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

The ideas of model averaging are used to find weights in peak-over-threshold problems using a possible range of thresholds. A range of the largest observations are chosen and considered as possible thresholds, each time performing…

Other Statistics · Statistics 2014-10-30 J. Martin van Zyl

We propose a new test for the hypothesis that a bivariate copula is an Archimedean copula. The test statistic is based on a combination of two measures resulting from the characterization of Archimedean copulas by the property of…

Statistics Theory · Mathematics 2011-09-30 Axel Bücher , Holger Dette , Stanislav Volgushev

We study a broad class of asymmetric copulas introduced by Liebscher (2008) as a combination of multiple - usually symmetric - copulas. The main thrust of the paper is to provide new theoretical properties including exact tail dependence…

Statistics Theory · Mathematics 2019-07-16 Julyan Arbel , Marta Crispino , Stéphane Girard

Expectile bears some interesting properties in comparison to the industry wide expected shortfall in terms of assessment of tail risk. We study the relationship between expectile and expected shortfall using duality results and the link to…

Risk Management · Quantitative Finance 2020-06-04 Samuel Drapeau , Mekonnen Tadese

The mean-variance portfolio model, based on the risk-return trade-off for optimal asset allocation, remains foundational in portfolio optimization. However, its reliance on restrictive assumptions about asset return distributions limits its…

Portfolio Management · Quantitative Finance 2025-04-17 Savita Pareek , Sujit K. Ghosh

Many econometric models can be analyzed as finite mixtures. We focus on two-component mixtures and we show that they are nonparametrically point identified by a combination of an exclusion restriction and tail restrictions. Our…

Econometrics · Economics 2021-02-15 Marc Henry , Koen Jochmans , Bernard Salanié

Normalizing flows, a popular class of deep generative models, often fail to represent extreme phenomena observed in real-world processes. In particular, existing normalizing flow architectures struggle to model multivariate extremes,…

Machine Learning · Computer Science 2022-05-04 Andrew McDonald , Pang-Ning Tan , Lifeng Luo

As the meta-analysis of more than one diagnostic tests can impact clinical decision making and patient health, there is an increasing body of research in models and methods for meta-analysis of studies comparing multiple diagnostic tests.…

Methodology · Statistics 2021-05-11 Aristidis K. Nikoloulopoulos

We propose a new method for estimating the extreme quantiles for a function of several dependent random variables. In contrast to the conventional approach based on extreme value theory, we do not impose the condition that the tail of the…

Methodology · Statistics 2013-11-25 Jinguo Gong , Yadong Li , Liang Peng , Qiwei Yao

When we use the entropy method to get the tail bounds, typically the left tail bounds are not good comparing with the right ones. Up to now this asymmetry has been observed many times. Surprisingly we find an entropy method for the left…

Probability · Mathematics 2007-05-23 Hyungsu Kim , Chul Ki Ko , Sungchul Lee

The present contribution derives an explicit expression for (a version of) every uni- and multi-variate conditional distribution (i.e., Markov kernel) of Archimedean copulas and uses this representation to generalize a recently established…

Statistics Theory · Mathematics 2022-11-07 Thimo Maria Kasper