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This paper introduces a novel quantile approach to harness the high-frequency information and improve the daily conditional quantile estimation. Specifically, we model the conditional standard deviation as a realized GARCH model and employ…

Methodology · Statistics 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

Generative moment matching networks (GMMNs) are introduced as dependence models for the joint innovation distribution of multivariate time series (MTS). Following the popular copula-GARCH approach for modeling dependent MTS data, a…

Methodology · Statistics 2021-10-05 Marius Hofert , Avinash Prasad , Mu Zhu

This study proposes a portfolio optimization framework that integrates advanced deep learning architectures with traditional financial models to enhance risk-adjusted performance. Using historical data from 2015-2023 across equities, ETFs,…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Samuel Ozechi , Banjo Francis , Wisdom Yakanu , Joe Wayne Byers

We investigate the concept of network momentum, a novel trading signal derived from momentum spillover across assets. Initially observed within the confines of pairwise economic and fundamental ties, such as the stock-bond connection of the…

Portfolio Management · Quantitative Finance 2023-08-25 Xingyue Pu , Stephen Roberts , Xiaowen Dong , Stefan Zohren

Portfolio optimization requires dynamic allocation of funds by balancing the risk and return tradeoff under dynamic market conditions. With the recent advancements in AI, Deep Reinforcement Learning (DRL) has gained prominence in providing…

Portfolio Management · Quantitative Finance 2025-05-08 Arishi Orra , Aryan Bhambu , Himanshu Choudhary , Manoj Thakur , Selvaraju Natarajan

Identifying network Granger causality in large vector autoregressive (VAR) models enhances explanatory power by capturing complex dependencies among variables. This study proposes a methodology that explores latent community structures to…

Methodology · Statistics 2026-04-14 Younghoon Kim , Changryong Baek

This paper discusses and analyzes a class of likelihood models which are based on two distributional innovations in financial models for stock returns. That is, the notion that the marginal distribution of aggregate returns of log-stock…

Statistics Theory · Mathematics 2007-06-13 Lancelot F. James , John W. Lau

Financial stock returns correlations have been studied in the prism of random matrix theory, to distinguish the signal from the "noise". Eigenvalues of the matrix that are above the rescaled Marchenko Pastur distribution can be interpreted…

Statistical Finance · Quantitative Finance 2025-08-19 Ixandra Achitouv

We propose a dynamic network quantile regression model to investigate the quantile connectedness using a predetermined network information. We extend the existing network quantile autoregression model of Zhu et al. (2019b) by explicitly…

Econometrics · Economics 2021-11-16 Xiu Xu , Weining Wang , Yongcheol Shin , Chaowen Zheng

We study a recent class of models which uses graph neural networks (GNNs) to improve forecasting in multivariate time series. The core assumption behind these models is that there is a latent graph between the time series (nodes) that…

Real-time economic information is essential for policy-making but difficult to obtain. We introduce a granular nowcasting method for macro- and industry-level GDP using a network approach and data on real-time monthly inter-industry…

Applications · Statistics 2024-11-05 Anastasia Mantziou , Kerstin Hotte , Mihai Cucuringu , Gesine Reinert

Multivariate network time series are ubiquitous in modern systems, yet existing network autoregressive models typically treat nodes as scalar processes, ignoring cross-variable spillovers. To capture these complex interactions without the…

Methodology · Statistics 2026-01-06 Qi Lyu , Xiaoyu Zhang , Guodong Li , Di Wang

Multivariate GARCH models are important tools to describe the dynamics of multivariate times series of financial returns. Nevertheless, these models have been much less used in practice due to the lack of reliable software. This paper…

Computation · Statistics 2014-12-10 Jose A. Fioruci , Ricardo S. Ehlers , Francisco Louzada

We propose a simple stochastic volatility model which is analytically tractable, very easy to simulate and which captures some relevant stylized facts of financial assets, including scaling properties. In particular, the model displays a…

Statistical Finance · Quantitative Finance 2012-04-20 Alessandro Andreoli , Francesco Caravenna , Paolo Dai Pra , Gustavo Posta

We present two models of sparse dynamic networks that display transitivity - the tendency for vertices sharing a common neighbour to be neighbours of one another. Our first network is a continuous time Markov chain $G=\{G_t=(V,E_t), t\ge…

Probability · Mathematics 2024-11-20 Mindaugas Bloznelis , Dominykas Marma

We propose a new volatility model based on two stylized facts of the volatility in the stock market: clustering and leverage effect. We calibrate our model parameters, in the leading order, with 77 years Dow Jones Industrial Average data.…

Statistical Finance · Quantitative Finance 2015-12-08 Xin Li , Carlos F. Tolmasky

Using high frequency data, we have studied empirically the change of volatility, also called volatility derivative, for various time horizons. In particular, the correlation between the volatility derivative and the volatility realized in…

Statistical Mechanics · Physics 2009-11-07 Gilles Zumbach , Paul Lynch

In order to obtain a reasonable and reliable forecast method for crude oil price volatility, this paper evaluates the forecast performance of single-regime GARCH models (including the standard linear GARCH model and the nonlinear GJR-GARCH…

Economics · Quantitative Finance 2015-12-08 Yue-Jun Zhang , Ting Yao , Ling-Yun He

This paper applies the realized exponential generalized autoregressive conditional heteroskedasticity (REGARCH) model to analyze the Nikkei 225 index from 2010 to 2017, utilizing realized variance (RV) and realized range-based volatility…

Econometrics · Economics 2025-02-12 Yaming Chang

In financial markets, Graph Neural Networks have been successfully applied to modeling relational data, effectively capturing nonlinear inter-stock dependencies. Yet, existing models often fail to efficiently propagate messages during…

Machine Learning · Computer Science 2025-10-14 Amber Li , Aruzhan Abil , Juno Marques Oda