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相关论文: Matrix GARCH Model: Inference and Application

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A standard model of (conditional) heteroscedasticity, i.e., the phenomenon that the variance of a process changes over time, is the Generalized AutoRegressive Conditional Heteroskedasticity (GARCH) model, which is especially important for…

统计方法学 · 统计学 2018-07-24 Balázs Csanád Csáji

Count time series data are frequently analyzed by modeling their conditional means and the conditional variance is often considered to be a deterministic function of the corresponding conditional mean and is not typically modeled…

统计方法学 · 统计学 2024-04-30 Tianqing Liu , Xiaohui Yuan

GARCH-type time series (characterized by Generalized Autoregressive Conditional Heteroskedasticity) exhibit pronounced volatility, autocorrelation, and heteroskedasticity. To address these challenges and enhance predictive accuracy, this…

系统与控制 · 电气工程与系统科学 2025-05-28 Hongpei Shao , Da-Qing Zhang , Feilong Lu

Orthogonal Generalized Autoregressive Conditional Heteroskedasticity model (OGARCH) is widely used in finance industry to produce volatility and correlation forecasts. We show that the classic OGARCH model, nevertheless, tends to be too…

统计方法学 · 统计学 2019-09-27 Yufan Li

We develop a new methodology for forecasting matrix-valued time series with historical matrix data and auxiliary vector time series data. We focus on a time series of matrices defined on a static 2-D spatial grid and an auxiliary time…

统计方法学 · 统计学 2025-09-25 Hu Sun , Zuofeng Shang , Yang Chen

We investigate a solution for the problems related to the application of multivariate GARCH models to markets with a large number of stocks by restricting the form of the conditional covariance matrix. The model is a factor model and uses…

综合金融 · 定量金融 2021-12-03 Matthias Raddant , Friedrich Wagner

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

计量经济学 · 经济学 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

Several academics have studied the ability of hybrid models mixing univariate Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models and neural networks to deliver better volatility predictions than purely econometric…

统计金融 · 定量金融 2021-09-03 Lucien Boulet

The discrete-time GARCH methodology which has had such a profound influence on the modelling of heteroscedasticity in time series is intuitively well motivated in capturing many `stylized facts' concerning financial series, and is now…

统计金融 · 定量金融 2008-12-18 Ross A. Maller , Gernot Müller , Alex Szimayer

This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model…

应用统计 · 统计学 2023-03-21 Raffaele Mattera , Philipp Otto

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

统计方法学 · 统计学 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

In this paper, we consider the nonstationary matrix-valued time series with common stochastic trends. Unlike the traditional factor analysis which flattens matrix observations into vectors, we adopt a matrix factor model in order to fully…

计量经济学 · 经济学 2025-08-25 Degui Li , Yayi Yan , Qiwei Yao

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

统计方法学 · 统计学 2025-10-22 Peiyi Zhou

We introduce a novel multivariate GARCH model with flexible convolution-t distributions that is applicable in high-dimensional systems. The model is called Cluster GARCH because it can accommodate cluster structures in the conditional…

计量经济学 · 经济学 2024-06-12 Chen Tong , Peter Reinhard Hansen , Ilya Archakov

We introduce a novel GARCH model that integrates two sources of uncertainty to better capture the rich, multi-component dynamics often observed in the volatility of financial assets. This model provides a quasi closed-form representation of…

计量经济学 · 经济学 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

Study of instantaneous dependence among several variable is important in many of the high-dimensional sciences. Multivariate GARCH models are as a standard approach for modelling time-varying covariance matrix such phenomena. Cholesky GARCH…

统计理论 · 数学 2018-05-30 Toktam Valizadeh , Saeid Rezakhah

Matrix-valued time series are ubiquitous in modern economics and finance, yet modeling them requires navigating a trade-off between flexibility and parsimony. We propose the Matrix Autoregressive model with Common Factors (MARCF), a unified…

统计方法学 · 统计学 2026-01-14 Zhiyun Fan , Xiaoyu Zhang , Di Wang

GARCH models are useful tools in the investigation of phenomena, where volatility changes are prominent features, like most financial data. The parameter estimation via quasi maximum likelihood (QMLE) and its properties are by now well…

统计理论 · 数学 2012-09-07 László Varga , András Zempléni