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We propose a hybrid model of portfolio credit risk where the dynamics of the underlying latent variables is governed by a one factor GARCH process. The distinctive feature of such processes is that the long-term aggregate return…

Pricing of Securities · Quantitative Finance 2010-01-07 Arthur M. Berd , Robert F. Engle , Artem Voronov

We develop new flexible univariate models for light-tailed and heavy-tailed data, which extend a hierarchical representation of the generalized Pareto (GP) limit for threshold exceedances. These models can accommodate departure from…

Methodology · Statistics 2020-09-14 Rishikesh Yadav , Raphaël Huser , Thomas Opitz

In an asset return series there is a conditional asymmetric dependence between current return and past volatility depending on the current return's sign. To take into account the conditional asymmetry, we introduce new models for asset…

Statistical Finance · Quantitative Finance 2013-11-21 Geon Ho Choe , Kyungsub Lee

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

This paper considers quantile regression for a wide class of time series models including ARMA models with asymmetric GARCH (AGARCH) errors. The classical mean-variance models are reinterpreted as conditional location-scale models so that…

Methodology · Statistics 2015-03-03 Jungsik Noh , Sangyeol Lee

This paper introduces a flexible time-varying network vector autoregressive model framework for large-scale time series. A latent group structure is imposed on the heterogeneous and node-specific time-varying momentum and network spillover…

Methodology · Statistics 2024-03-12 Degui Li , Bin Peng , Songqiao Tang , Weibiao Wu

Financial data are as a rule asymmetric, although most econometric models are symmetric. This applies also to continuous-time models for high-frequency and irregularly spaced data. We discuss some asymmetric versions of the continuous-time…

Statistics Theory · Mathematics 2014-03-28 Anita Behme , Claudia Klüppelberg , Kathrin Mayr

We study the problem of stationarity and ergodicity for autoregressive multinomial logistic time series models which possibly include a latent process and are defined by a GARCH-type recursive equation. We improve considerably upon the…

Statistics Theory · Mathematics 2018-10-02 Konstantinos Fokianos , Lionel Truquet

This paper presents the generalized spatial autoregression (GSAR) model, a significant advance in spatial econometrics for non-normal response variables belonging to the exponential family. The GSAR model extends the logistic SAR, probit…

Methodology · Statistics 2024-12-03 N. A. Cruz , J. D. Toloza-Delgado , O. O. Melo

We propose a parsimonious spatiotemporal model for time series data on a spatial grid. Our model is capable of dealing with high-dimensional time series data that may be collected at hundreds of locations and capturing the spatial…

Methodology · Statistics 2021-03-02 Yuan Yan , Hsin-Cheng Huang , Marc G. Genton

We test various volatility models using the Bitcoin spot price series. Our models include HIST, EMA ARCH, GARCH, and EGARCH, models. Both of our in-sample-fit and out-of-sample-forecast results suggest that GARCH and EGARCH models perform…

Statistical Finance · Quantitative Finance 2020-10-16 Yeguang Chi , Wenyan Hao

This paper introduces a global stock market volatility forecasting model that enhances forecasting accuracy and practical utility in real-world financial decision-making by integrating dynamic graph structures and encompassing all active…

General Finance · Quantitative Finance 2025-09-17 Zhengyang Chi , Junbin Gao , Chao Wang

I present an approach for modeling areal spatial covariance by considering the stationary distribution of a spatio-temporal Markov random walk. In the areal data case, this stationary distribution corresponds to an intrinsic simultaneous…

Methodology · Statistics 2015-07-06 Ephraim M. Hanks

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

This study introduces the SH-MBS-GARCH model, a hysteretic multivariate Bayesian structural GARCH framework that integrates hard and soft information to capture the joint dynamics of multiple financial time series, incorporating hysteretic…

Computation · Statistics 2025-07-28 Tzu-Hsin Chien , Ning Ning , Shih-Feng Huang

In this paper, we develop a hybrid approach to forecasting the volatility and risk of financial instruments by combining common econometric GARCH time series models with deep learning neural networks. For the latter, we employ Gated…

Risk Management · Quantitative Finance 2023-10-03 Jakub Michańków , Łukasz Kwiatkowski , Janusz Morajda

Events in spatiotemporal systems are ubiquitous, yet modeling their complex distributions remains challenging. Existing point process models often rely on strong structural assumptions and are typically limited to autoregressive,…

Machine Learning · Computer Science 2026-05-05 Keyan Chen , Qiwei Yuan , Zhitong Xu , Bin Shen , Shandian Zhe

This paper offers a new approach for estimating and forecasting the volatility of financial time series. No assumption is made about the parametric form of the processes. On the contrary, we only suppose that the volatility can be…

Statistics Theory · Mathematics 2007-06-13 Danilo Mercurio , Vladimir Spokoiny

This study was conducted to find an appropriate statistical model to forecast the volatilities of PSEi using the model Generalized Autoregressive Conditional Heteroskedasticity (GARCH). Using the R software, the log returns of PSEi is…

Statistical Finance · Quantitative Finance 2019-04-02 Novy Ann M. Etac , Roel F. Ceballos

The matrix exponential spatial models exhibit similarities to the conventional spatial autoregressive model in spatial econometrics but offer analytical, computational, and interpretive advantages. This paper provides a comprehensive review…

Econometrics · Economics 2023-11-28 Ye Yang , Osman Dogan , Suleyman Taspinar , Fei Jin