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Copulas are essential tools in statistics and probability theory, enabling the study of the dependence structure between random variables independently of their marginal distributions. Among the various types of copulas, Ratio-Type Copulas…

统计理论 · 数学 2025-05-21 Ziad Adwan , Nicola Sottocornola

This paper develops a new framework for alpha testing in high-dimensional factor pricing models with time-varying coefficients. To detect sparse alternatives, we propose a spatial-sign-based max-type test and derive its limiting null…

统计方法学 · 统计学 2026-04-15 Ping Zhao , Hongfei Wang

The PC algorithm uses conditional independence tests for model selection in graphical modeling with acyclic directed graphs. In Gaussian models, tests of conditional independence are typically based on Pearson correlations, and…

统计理论 · 数学 2012-07-03 Naftali Harris , Mathias Drton

We propose a model for unbalanced longitudinal data, where the univariate margins can be selected arbitrarily and the dependence structure is described with the help of a D-vine copula. We show that our approach is an extremely flexible…

统计方法学 · 统计学 2017-05-18 Matthias Killiches , Claudia Czado

The study of dependence between random variables under external influences is a challenging problem in multivariate analysis. We address this by proposing a novel semi-parametric approach for conditional copula models using Bayesian…

统计方法学 · 统计学 2026-03-11 Tathagata Basu , Fabrizio Leisen , Cristiano Villa , Kevin Wilson

A new method for constructing absolutely continuous two--dimensional copulas by differential equations is presented. The copulas are symmetric with respect to reflection in the opposite diagonal. The support of the copula density may be…

概率论 · 数学 2019-05-24 Oscar Björnham , Niklas Brännström , Leif Persson

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…

统计方法学 · 统计学 2020-08-05 Shogo Kato , Toshinao Yoshiba , Shinto Eguchi

We develop adaptive estimation and inference methods for high-dimensional Gaussian copula regression that achieve the same performance without the knowledge of the marginal transformations as that for high-dimensional linear regression.…

统计方法学 · 统计学 2015-12-09 T. Tony Cai , Linjun Zhang

In analyzing high-dimensional models, sparsity of the model parameter is a common but often undesirable assumption. In this paper, we study the following two-sample testing problem: given two samples generated by two high-dimensional linear…

统计理论 · 数学 2017-08-16 Yinchu Zhu , Jelena Bradic

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…

计量经济学 · 经济学 2025-01-07 Lorenzo Frattarolo

The authors propose new additive models for binary outcomes, where the components are copula-based regression models (Noh et al, 2013), and designed such that the model may capture potentially complex interaction effects. The models do not…

统计方法学 · 统计学 2024-10-22 Simon Boge Brant , Ingrid Hobæk Haff

Copulas provide an attractive approach for constructing multivariate distributions with flexible marginal distributions and different forms of dependences. Of particular importance in many areas is the possibility of explicitly forecasting…

统计方法学 · 统计学 2018-05-22 Feng Li , Yanfei Kang

Motivated by a neuroscience question about synchrony detection in spike train analysis, we deal with the independence testing problem for point processes. We introduce non-parametric test statistics, which are rescaled general…

统计理论 · 数学 2015-05-28 Mélisande Albert , Yann Bouret , Magalie Fromont , Patricia Reynaud-Bouret

In this paper we study the consistency of different bootstrap procedures for constructing confidence intervals (CIs) for the unique jump discontinuity (change-point) in an otherwise smooth regression function in a stochastic design setting.…

统计理论 · 数学 2011-01-06 Emilio Seijo , Bodhisattva Sen

We are studying the problems of modeling and inference for multivariate count time series data with Poisson marginals. The focus is on linear and log-linear models. For studying the properties of such processes we develop a novel conceptual…

统计方法学 · 统计学 2017-04-10 Paul Doukhan , Konstantinos Fokianos , Bård Støve , Dag Tjøstheim

Comparing two groups under different conditions is ubiquitous in the biomedical sciences. In many cases, samples from the two groups can be naturally paired; for example a pair of samples may come from the same individual under the two…

统计理论 · 数学 2018-01-15 Martin J. Zhang , Meisam Razaviyayn , David Tse

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The…

统计理论 · 数学 2025-11-25 Joseph Ngatchou-Wandji , Echarif Elharfaoui , Michel Harel

Analysing dependent risks is an important task for insurance companies. A dependency is reflected in the fact that information about one random variable provides information about the likely distribution of values of another random…

应用统计 · 统计学 2021-03-22 Sen Hu , Adrian O'Hagan

Vine pair-copula constructions exist for a mix of continuous and ordinal variables. In some steps, this can involve estimating a bivariate copula for a pair of mixed continuous-ordinal variables. To assess the adequacy of copula fits for…

统计方法学 · 统计学 2023-10-13 Shenyi Pan , Harry Joe

In many studies multivariate event time data are generated from clusters having a possibly complex association pattern. Flexible models are needed to capture this dependence. Vine copulas serve this purpose. Inference methods for vine…

应用统计 · 统计学 2017-07-25 Nicole Barthel , Candida Geerdens , Matthias Killiches , Paul Janssen , Claudia Czado