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This paper is concerned with modeling the dependence structure of two (or more) time-series in the presence of a (possible multivariate) covariate which may include past values of the time series. We assume that the covariate influences…

统计理论 · 数学 2018-12-11 Natalie Neumeyer , Marek Omelka , Sarka Hudecova

The purpose of this paper is twofold. First, we provide a novel characterization of independence of random vectors based on the checkerboard approximation to a multivariate copula. Using this result, we then propose a new family of tests of…

Longitudinal and survival sub-models are two building blocks for joint modelling of longitudinal and time to event data. Extensive research indicates separate analysis of these two processes could result in biased outputs due to their…

统计方法学 · 统计学 2022-09-22 Zili Zhang , Christiana Charalambous , Peter Foster

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

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

统计理论 · 数学 2026-05-14 Debanjana Datta , Diganta Mukherjee

Study of recurrences in earthquakes, climate, financial time-series, etc. is crucial to better forecast disasters and limit their consequences. However, almost all the previous phenomenological studies involved only a long-ranged…

数据分析、统计与概率 · 物理学 2013-09-11 Rémy Chicheportiche , Anirban Chakraborti

We consider multivariate copula-based stationary time-series under Gaussian subordination. Observed time series are subordinated to long-range dependent Gaussian processes and characterized by arbitrary marginal copula distributions. First…

统计理论 · 数学 2018-03-16 Yusufu Simayi

In this paper, we obtain general representations for the joint distributions and copulas of arbitrary dependent random variables absolutely continuous with respect to the product of given one-dimensional marginal distributions. The…

统计理论 · 数学 2016-08-16 Victor H. de la Peña , Rustam Ibragimov , Shaturgun Sharakhmetov

Copulas have been popular to model dependence for multivariate distributions, but have not been used much in modelling temporal dependence of univariate time series. This paper demonstrates some difficulties with using copulas even for…

概率论 · 数学 2010-10-11 Andreas N. Lagerås

The estimation of dependencies between multiple variables is a central problem in the analysis of financial time series. A common approach is to express these dependencies in terms of a copula function. Typically the copula function is…

Motivated by recently investigated results on dependence measures and robust risk models, this paper provides an overview of dependence properties of many well-known bivariate copula families, where the focus is on the Schur order for…

统计理论 · 数学 2024-04-09 Jonathan Ansari , Marcus Rockel

In this paper, we considered the problem of dependent censoring models with a positive probability that the times of failure are equal. In this context, we proposed to consider the Marshall-Olkin type model and studied some properties of…

统计理论 · 数学 2023-09-08 Mikael Escobar-Bach , Salima Helali

Parametric copula families have been known to flexibly capture various dependence patterns, e.g., either positive or negative dependence in either the lower or upper tails of bivariate distributions. In this paper, our objective is to…

统计方法学 · 统计学 2025-02-11 Ruyi Pan , Luis E. Nieto-Barajas , Radu Craiu

In the copula-based approach to univariate time series modeling, the finite dimensional temporal dependence of a stationary time series is captured by a copula. Recent studies investigate how copula-based time series models can be…

统计方法学 · 统计学 2026-04-03 Sven Pappert , Harry Joe

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

In many time-to-event studies, the event of interest is recurrent. Here, the data for each sample unit corresponds to a series of gap times between the subsequent events. Given a limited follow-up period, the last gap time might be…

统计方法学 · 统计学 2018-02-28 Nicole Barthel , Candida Geerdens , Claudia Czado , Paul Janssen

A time-varying bivariate copula joint model, which models the repeatedly measured longitudinal outcome at each time point and the survival data jointly by both the random effects and time-varying bivariate copulas, is proposed in this…

统计方法学 · 统计学 2024-12-03 Zili Zhang , Christiana Charalambous , Peter Foster

We study copula-based collective risk models when the dependence structure is defined by a Farlie-Gumbel-Morgenstern (FGM) copula. By leveraging a one-to-one correspondence between the class of FGM copulas and multivariate symmetric…

应用统计 · 统计学 2024-09-04 Christopher Blier-Wong , Hélène Cossette , Etienne Marceau

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

For the analysis of clustered survival data, two different types of models that take the association into account, are commonly used: frailty models and copula models. Frailty models assume that conditional on a frailty term for each…

统计方法学 · 统计学 2014-01-10 Leen Prenen , Roel Braekers , Luc Duchateau
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