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Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

Statistical Finance · Quantitative Finance 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

Recent developments in financial time series focus on modeling volatility across multiple assets or indices in a multivariate framework, accounting for potential interactions such as spillover effects. Furthermore, the increasing…

Applications · Statistics 2026-01-26 Edoardo Otranto , Luca Scaffidi Domianello

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…

Econometrics · Economics 2022-12-02 Alexander Mayer , Dominik Wied

Multivariate volatility modeling and forecasting are crucial in financial economics. This paper develops a copula-based approach to model and forecast realized volatility matrices. The proposed copula-based time series models can capture…

Statistical Finance · Quantitative Finance 2020-02-21 Wenjing Wang , Minjing Tao

Multi-type recurrent events are often encountered in medical applications when two or more different event types could repeatedly occur over an observation period. For example, patients may experience recurrences of multi-type nonmelanoma…

Methodology · Statistics 2021-06-10 Khaled F. Bedair , Yili Hong , Hussein R. Al-Khalidi

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…

Methodology · Statistics 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

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…

Methodology · Statistics 2024-03-06 Nadja Klein , Michael Stanley Smith , David Nott , Ryan Chisholm

In this article, a copula-based method for mixed regression models is proposed, where the conditional distribution of the response variable, given covariates, is modelled by a parametric family of continuous or discrete distributions, and…

Methodology · Statistics 2025-01-13 Pavel Krupskii , Bouchra R Nasri , Bruno N Remillard

Interactions among multiple time series of positive random variables are crucial in diverse financial applications, from spillover effects to volatility interdependence. A popular model in this setting is the vector Multiplicative Error…

Computation · Statistics 2021-07-12 Nicola Donelli , Stefano Peluso , Antonietta Mira

We define a copula process which describes the dependencies between arbitrarily many random variables independently of their marginal distributions. As an example, we develop a stochastic volatility model, Gaussian Copula Process Volatility…

Methodology · Statistics 2010-06-24 Andrew Gordon Wilson , Zoubin Ghahramani

Analysis of multivariate time series is a common problem in areas like finance and economics. The classical tool for this purpose are vector autoregressive models. These however are limited to the modeling of linear and symmetric…

Methodology · Statistics 2012-04-05 Eike Christian Brechmann , Claudia Czado

We study a new measure of codependency in the second moment of a continuous-time multivariate asset price process, which we name the realized copula of volatility. The statistic is based on local volatility estimates constructed from…

Econometrics · Economics 2026-04-22 Kim Christensen , Wenjing Liu , Zhi Liu , Yoann Potiron

Multivariate datasets are common in various real-world applications. Recently, copulas have received significant attention for modeling dependencies among random variables. A copula-based information measure is required to quantify the…

Methodology · Statistics 2024-08-06 Mohd. Arshad , Swaroop Georgy Zachariah , Ashok Kumar Pathak

We address an important yet challenging problem - modeling high-dimensional dependencies across multivariates such as financial indicators in heterogeneous markets. In reality, a market couples and influences others over time, and the…

Statistical Finance · Quantitative Finance 2023-05-16 Jia Xu , Longbing Cao

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…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay

We propose a dynamic multiplicative factor model for process data, which arise from complex problem-solving items, an emerging testing mode in large-scale educational assessment. The proposed model can be viewed as an extension of the…

Methodology · Statistics 2026-02-26 Fangyi Chen , Hok Kan Ling , Zhiliang Ying

We suggest the Doubly Multiplicative Error class of models (DMEM) for modeling and forecasting realized volatility, which combines two components accommodating low-, respectively, high-frequency features in the data. We derive the…

Statistical Finance · Quantitative Finance 2020-06-08 Alessandra Amendola , Vincenzo Candila , Fabrizio Cipollini , Giampiero M. Gallo

We develop factor copula models for analysing the dependence among mixed continuous and discrete responses. Factor copula models are canonical vine copulas that involve both observed and latent variables, hence they allow tail, asymmetric…

Methodology · Statistics 2020-11-18 Sayed H. Kadhem , Aristidis K. Nikoloulopoulos

When modeling the distribution of a multivariate continuous random vector using the so-called \emph{copula approach}, it is not uncommon to have ties in the coordinate samples of the available data because of rounding or lack of measurement…

Methodology · Statistics 2017-02-07 Ivan Kojadinovic

Key to effective generic, or "black-box", variational inference is the selection of an approximation to the target density that balances accuracy and speed. Copula models are promising options, but calibration of the approximation can be…

Methodology · Statistics 2022-07-01 Michael Stanley Smith , Rubén Loaiza-Maya
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