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Handling highly dependent data is crucial in clinical trials, particularly in fields related to ophthalmology. Incorrectly specifying the dependency structure can lead to biased inferences. Traditionally, models rely on three fixed…

Methodology · Statistics 2025-09-30 Shuyi Liang , Takeshi Emura , Chang-Xing Ma , Yijing Xin , Xin-Wei Huang

We discuss two distinct approaches, for distorting risk measures of sums of dependent random variables, which preserve the property of coherence. The first, based on distorted expectations, operates on the survival function of the sum. The…

Methodology · Statistics 2011-06-17 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir

Besides the classical distinction of correlation and dependence, many dependence measures bear further pitfalls in their application and interpretation. The aim of this paper is to raise and recall awareness of some of these limitations by…

Methodology · Statistics 2020-04-17 Björn Böttcher

This paper is concerned with testing and dating structural breaks in the dependence structure of multivariate time series. We consider a cumulative sum (CUSUM) type test for constant copula-based dependence measures, such as Spearman's rank…

Econometrics · Economics 2020-11-12 Florian Stark , Sven Otto

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

Methodology · Statistics 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

We introduce new estimates and tests of independence in copula models with unknown margins using $\phi$-divergences and the duality technique. The asymptotic laws of the estimates and the test statistics are established both when the…

Statistics Theory · Mathematics 2019-03-06 Salim Bouzebda , Amor Keziou

The stability of a complex financial system may be assessed by measuring risk contagion between various financial institutions with relatively high exposure. We consider a financial network model using a bipartite graph of financial…

Risk Management · Quantitative Finance 2025-05-23 Bikramjit Das , Vicky Fasen-Hartmann

Building upon earlier work in which axioms were formulated for multivariate measures of concordance, we examine properties of such measures. In particular, we examine the relations between the measure of concordance of an $n$-copula and the…

Probability · Mathematics 2016-10-18 M. D. Taylor

The thesis is composed of three parts. Part I introduces the mathematical and statistical tools that are relevant for the study of dependences, as well as statistical tests of Goodness-of-fit for empirical probability distributions. I…

Statistical Finance · Quantitative Finance 2013-09-20 Rémy Chicheportiche

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

We propose a new multivariate dependency measure. It is obtained by considering a Gaussian kernel based distance between the copula transform of the given d-dimensional distribution and the uniform copula and then appropriately normalizing…

Statistics Theory · Mathematics 2019-11-12 Angshuman Roy , Alok Goswami , C. A. Murthy

We analyze the statistical dependency structure of the S&P 500 constituents in the 4-year period from 2007 to 2010 using intraday data from the New York Stock Exchange's TAQ database. With a copula-based approach, we find that the…

Statistical Finance · Quantitative Finance 2015-05-27 Michael C. Münnix , Rudi Schäfer

This article deals with the problem of optimal allocation of capital to corporate bonds in fixed income portfolios when there is the possibility of correlated defaults. Using a multivariate normal Copula function for the joint default…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Mark B. Wise , Vineer Bhansali

Our goal in this paper is to propose an alternative risk measure which takes into account the fluctuations of losses and possible correlations between random variables. This new notion of risk measures, that we call Copula Conditional Tail…

Statistics Theory · Mathematics 2015-03-20 Brahim Brahimi

Several collective risk models have recently been proposed by relaxing the widely used but controversial assumption of independence between claim frequency and severity. Approaches include the bivariate copula model, random effect model,…

Applications · Statistics 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

Simultaneous recordings from many neurons hide important information and the connections characterizing the network remain generally undiscovered despite the progresses of statistical and machine learning techniques. Discerning the presence…

Applications · Statistics 2019-03-21 Pietro Verzelli , Laura Sacerdote

The anomaly detection method presented by this paper has a special feature: it does not only indicate whether an observation is anomalous or not but also tells what exactly makes an anomalous observation unusual. Hence, it provides support…

Machine Learning · Computer Science 2019-12-05 Gábor Horváth , Edith Kovács , Roland Molontay , Szabolcs Nováczki

Copulas have now become ubiquitous statistical tools for describing, analysing and modelling dependence between random variables. Sklar's theorem, "the fundamental theorem of copulas", makes a clear distinction between the continuous case…

Methodology · Statistics 2019-02-12 Gery Geenens

Testing for pairwise independence for the case where the number of variables may be of the same size or even larger than the sample size has received increasing attention in the recent years. We contribute to this branch of the literature…

Statistics Theory · Mathematics 2024-09-18 Axel Bücher , Cambyse Pakzad

We study a new measure of codependency in the second moment of a continuous-time multivariate asset price process, which we name the realized copula of volatility. The statistic is based on local volatility estimates constructed from…

Econometrics · Economics 2026-04-22 Kim Christensen , Wenjing Liu , Zhi Liu , Yoann Potiron