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Use of copula for the purpose of modeling dependence has been receiving considerable attention in recent times. On the other hand, search for multivariate copulas with desirable dependence properties also is an important area of research.…

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

Copula-based models provide a great deal of flexibility in modelling multivariate distributions, allowing for the specifications of models for the marginal distributions separately from the dependence structure (copula) that links them to…

统计方法学 · 统计学 2021-09-09 Nicolás Kuschinski , Alejandro Jara

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

Catastrophic loss data are known to be heavy-tailed. Practitioners then need models that are able to capture both tail and modal parts of claim data. To this purpose, a new parametric family of loss distributions is proposed as a gamma…

应用统计 · 统计学 2019-12-23 Zhengxiao Li , Jan Beirlant , Shengwang Meng

We propose a novel distributional regression model for a multivariate response vector based on a copula process over the covariate space. It uses the implicit copula of a Gaussian multivariate regression, which we call a ``regression…

统计方法学 · 统计学 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

We propose a new copula model for replicated multivariate spatial data. Unlike classical models that assume multivariate normality of the data, the proposed copula is based on the assumption that some factors exist that affect the joint…

应用统计 · 统计学 2018-10-12 Pavel Krupskii , Marc G. Genton

Copulas are a powerful tool for modeling multivariate distributions as they allow to separately estimate the univariate marginal distributions and the joint dependency structure. However, known parametric copulas offer limited flexibility…

机器学习 · 统计学 2021-11-11 Tim Janke , Mohamed Ghanmi , Florian Steinke

We propose a multivariate generative model to capture the complex dependence structure often encountered in business and financial data. Our model features heterogeneous and asymmetric tail dependence between all pairs of individual…

机器学习 · 计算机科学 2025-12-10 Xiangqian Sun , Xing Yan , Qi Wu

We propose a generalisation of the logistic regression model, that aims to account for non-linear main effects and complex interactions, while keeping the model inherently explainable. This is obtained by starting with log-odds that are…

统计方法学 · 统计学 2024-10-14 Ingrid Hobæk Haff , Simon Boge Brant , Haakon Bakka

We propose a new copula model that can be used with replicated spatial data. Unlike the multivariate normal copula, the proposed copula is based on the assumption that a common factor exists and affects the joint dependence of all…

应用统计 · 统计学 2016-12-08 Pavel Krupskii , Raphael Huser , Marc G. Genton

Copulas have become an important tool in the modern best practice Enterprise Risk Management, often supplanting other approaches to modelling stochastic dependence. However, choosing the `right' copula is not an easy task, and the…

风险管理 · 定量金融 2016-10-10 Jianxi Su , Edward Furman

Copulas are a powerful tool to model dependence between the components of a random vector. One well-known class of copulas when working in two dimensions is the Farlie-GumbelMorgenstern (FGM) copula since their simple analytic shape enables…

统计理论 · 数学 2022-05-24 Christopher Blier-Wong , Hélène Cossette , Etienne Marceau

Generalized additive models for location, scale and shape (GAMLSS) are a popular extension to mean regression models where each parameter of an arbitrary distribution is modelled through covariates. While such models have been developed for…

统计方法学 · 统计学 2024-12-02 Lucas Kock , Nadja Klein

Dependence modeling of multivariate count data has garnered significant attention in recent years. Multivariate elliptical copulas are typically preferred in statistical literature to analyze dependence between repeated measurements of…

统计方法学 · 统计学 2025-01-22 Subhajit Chattopadhyay

We propose an approach to construct a new family of generalized Farlie-Gumbel-Morgenstern (GFGM) copulas that naturally scales to high dimensions. A GFGM copula can model moderate positive and negative dependence, cover different types of…

We propose a new bivariate symmetric copula with positive and negative dependence properties. The main features of the proposed copula are its simple mathematical structure, wider dependence range compared to FGM copula and its…

统计理论 · 数学 2024-08-29 Swaroop Georgy Zachariah , Mohd. Arshad , Ashok Kumar Pathak

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,…

应用统计 · 统计学 2019-06-11 Rosy Oh , Jae Youn Ahn , Woojoo Lee

Cylindrical data frequently arise across various scientific disciplines, including meteorology (e.g., wind direction and speed), oceanography (e.g., marine current direction and speed or wave heights), ecology (e.g., telemetry), and…

统计方法学 · 统计学 2026-02-06 Francesca Labanca , Anna Gottard , Nadja Klein

Learning the joint dependence of discrete variables is a fundamental problem in machine learning, with many applications including prediction, clustering and dimensionality reduction. More recently, the framework of copula modeling has…

机器学习 · 统计学 2013-11-15 Alfredo Kalaitzis , Ricardo Silva

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
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