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Motivated by modern data forms such as images and multi-view data, the multi-attribute graphical model aims to explore the conditional independence structure among vectors. Under the Gaussian assumption, the conditional independence between…

机器学习 · 统计学 2024-04-11 Qi Zhang , Bing Li , Lingzhou Xue

Copulas allow to learn marginal distributions separately from the multivariate dependence structure (copula) that links them together into a density function. Vine factorizations ease the learning of high-dimensional copulas by constructing…

统计方法学 · 统计学 2013-02-19 David Lopez-Paz , José Miguel Hernández-Lobato , Zoubin Ghahramani

To characterize temporal correlations in temporal networks, we define an autocorrelation function (ACF) for temporal networks in terms of the similarity between two snapshot networks separated by a certain time interval. By employing a…

物理与社会 · 物理学 2024-08-14 Hang-Hyun Jo

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…

统计理论 · 数学 2019-11-12 Angshuman Roy , Alok Goswami , C. A. Murthy

This paper deals with a situation when one is interested in the dependence structure of a multidimensional response variable in the presence of a multivariate covariate. It is assumed that the covariate affects only the marginal…

统计理论 · 数学 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

A new index based on empirical copulas, termed the Copula Statistic (CoS), is introduced for assessing the strength of multivariate dependence and for testing statistical independence. New properties of the copulas are proved. They allow us…

统计理论 · 数学 2016-12-22 Mohsen Ben Hassine , Lamine Mili , Kiran Karra

A factor copula model is proposed in which factors are either simulable or estimable from exogenous information. Point estimation and inference are based on a simulated methods of moments (SMM) approach with non-overlapping simulation…

计量经济学 · 经济学 2022-12-02 Alexander Mayer , Dominik Wied

In this work we study the problem of constructing stochastic processes with a predetermined covariance decay by parameterizing its marginals and a given family of copulas. We show that the proposed methodology is compatibility-free and…

统计理论 · 数学 2025-07-01 Guilherme Pumi , Sílvia R. C. Lopes

In this paper the nonparametric quantile regression model is considered in a location-scale context. The asymptotic properties of the empirical independence process based on covariates and estimated residuals are investigated. In particular…

统计理论 · 数学 2016-09-27 Melanie Birke , Natalie Neumeyer , Stanislav Volgushev

We introduce a copula mixture model to perform dependency-seeking clustering when co-occurring samples from different data sources are available. The model takes advantage of the great flexibility offered by the copulas framework to extend…

统计方法学 · 统计学 2012-07-03 Melanie Rey , Volker Roth

Since survival data occur over time, often important covariates that we wish to consider also change over time. Such covariates are referred as time-dependent covariates. Quantile regression offers flexible modeling of survival data by…

统计方法学 · 统计学 2014-05-01 Malka Gorfine , Yair Goldberg , Yaacov Ritov

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

Given two multivariate copulas with corresponding tail dependence functions, we investigate the relation between a natural tail dependence ordering $\leq_{tdo}$ and the order $\leq_{loc}$ of local stochastic dominance. We show that,…

概率论 · 数学 2023-02-07 Karl Friedrich Siburg , Christopher Strothmann

We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest…

数理金融 · 定量金融 2018-01-19 Damien Ackerer , Thibault Vatter

Continuous proportions measured on the same experimental unit often pose two challenges: interior outliers that inflate variance beyond the beta ceiling and residual dependence that invalidates independent-margin models. We introduce a…

统计方法学 · 统计学 2025-11-14 Divan A. Burger , Janet van Niekerk , Peter C. le Roux , Morgan J. Raath-Krüger

A complete and user-friendly directory of tails of Archimedean copulas is presented which can be used in the selection and construction of appropriate models with desired properties. The results are synthesized in the form of a decision…

概率论 · 数学 2009-01-13 Arthur Charpentier , Johan Segers

In biomedical studies, paired survival data arise naturally when two event times are observed within the same subject. Existing statistical models seldom accommodate both cure fractions and complex dependence structures. In this paper, we…

统计方法学 · 统计学 2026-04-28 Masaki Hino , Shogo Kato , Takeshi Emura

Rank-based dependence measures such as Spearman's footrule are robust and invariant, but they often fail to capture directional or asymmetric dependence in multivariate settings. This paper introduces a new family of directional Spearman's…

统计理论 · 数学 2026-01-27 Enrique de Amo , David García-Fernández , Manuel Úbeda-Flores

We revisit the Kolmogorov-Smirnov and Cram\'er-von Mises goodness-of-fit (GoF) tests and propose a generalisation to identically distributed, but dependent univariate random variables. We show that the dependence leads to a reduction of the…

统计金融 · 定量金融 2011-09-06 Remy Chicheportiche , Jean-Philippe Bouchaud

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

统计方法学 · 统计学 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh