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We study a simple statistic for benchmarking how well a sample preserves a known bivariate dependence structure. Given a target copula family (Clayton or Gumbel) and parameter $\theta_P$, the Copula Discrepancy (CD) compares the target…

机器学习 · 统计学 2025-12-30 Agnideep Aich , Ashit Baran Aich

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…

计量经济学 · 经济学 2026-03-03 Alexander Mayer , Tatsushi Oka , Dominik Wied

Use copula to model dependency of variable extends multivariate gaussian assumption. In this paper we first empirically studied copula regression model with continous response. Both simulation study and real data study are given. Secondly…

统计方法学 · 统计学 2021-01-05 Weijian Luo , Mai Wo

This paper proposes different methods to consistently detect multiple breaks in copula-based dependence measures, mainly focusing on Spearman's $\rho$. The leading model is a factor copula model due to its usefulness for analyzing data in…

统计方法学 · 统计学 2022-06-13 Marvin Borsch , Alexander Mayer , Dominik Wied

We develop a new statistical procedure to test whether the dependence structure is identical between two groups. Rather than relying on a single index such as Pearson's correlation coefficient or Kendall's Tau, we consider the entire…

计量经济学 · 经济学 2018-11-07 Juwon Seo

This paper introduces a nonparametric copula-based index for detecting the strength and monotonicity structure of linear and nonlinear statistical dependence between pairs of random variables or stochastic signals. Our index, termed Copula…

机器学习 · 统计学 2020-02-25 Kiran Karra , Lamine Mili

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.…

统计方法学 · 统计学 2021-05-11 Aristidis K. Nikoloulopoulos

Copulas are a fundamental tool for modelling multivariate dependencies in data, forming the method of choice in diverse fields and applications. However, the adoption of existing models for multimodal and high-dimensional dependencies is…

机器学习 · 统计学 2026-05-20 David Huk , Theodoros Damoulas

Copulas are popular as models for multivariate dependence because they allow the marginal densities and the joint dependence to be modeled separately. However, they usually require that the transformation from uniform marginals to the…

统计方法学 · 统计学 2013-06-14 Minh-Ngoc Tran , Paolo Giordani , Xiuyan Mun , Robert Kohn , Mike Pitt

This paper proposes a variance-based measure of importance for coherent systems with dependent and heterogeneous components. The particular cases of independent components and homogeneous components are also considered. We model the…

应用统计 · 统计学 2024-09-30 Antonio Arriaza , Jorge Navarro , Miguel Angel Sordo , Alfonso Suárez-Llorens

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…

统计方法学 · 统计学 2025-02-18 Subhajit Chattopadhyay

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

统计方法学 · 统计学 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

We discuss the so-called "simplifying assumption" of conditional copulas in a general framework. We introduce several tests of the latter assumption for non- and semiparametric copula models. Some related test procedures based on…

统计理论 · 数学 2017-05-05 Alexis Derumigny , Jean-David Fermanian

Blocking is often used to reduce known variability in designed experiments by collecting together homogeneous experimental units. A common modelling assumption for such experiments is that responses from units within a block are dependent.…

统计方法学 · 统计学 2018-11-07 W. G. Mueller , A. Rappold , D. C. Woods

This article proposes copula-based dependence quantification between multiple groups of random variables of possibly different sizes via the family of $Phi$-divergences. An axiomatic framework for this purpose is provided, after which we…

统计理论 · 数学 2023-02-28 Steven De Keyser , Irène Gijbels

The paper considers the problem of establishing data support for the simplifying assumption (SA) in a bivariate conditional copula model. It is known that SA greatly simplifies the inference for a conditional copula model, but standard…

统计方法学 · 统计学 2019-09-30 Evgeny Levi , Radu V Craiu

This paper addresses the problem of quantification and propagation of uncertainties associated with dependence modeling when data for characterizing probability models are limited. Practically, the system inputs are often assumed to be…

统计计算 · 统计学 2020-04-14 Jiaxin Zhang , Michael D. Shields

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…

计量经济学 · 经济学 2020-11-12 Florian Stark , Sven Otto

We review the main "omnibus procedures" for goodness-of-fit testing for copulas: tests based on the empirical copula process, on probability integral transformations, on Kendall's dependence function, etc, and some corresponding reductions…

统计方法学 · 统计学 2012-11-20 Jean-David Fermanian

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general -…

统计理论 · 数学 2020-08-24 Alexis Derumigny , Jean-David Fermanian