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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…

统计金融 · 定量金融 2020-10-16 Yeguang Chi , Wenyan Hao

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

统计金融 · 定量金融 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

We propose Neural GARCH, a class of methods to model conditional heteroskedasticity in financial time series. Neural GARCH is a neural network adaptation of the GARCH 1,1 model in the univariate case, and the diagonal BEKK 1,1 model in the…

机器学习 · 计算机科学 2022-02-24 Zexuan Yin , Paolo Barucca

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…

Value-at-risk (VaR) and expected shortfall (ES) are two commonly utilized metrics for quantifying financial risk. In this study, we review the widely employed Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. These…

统计计算 · 统计学 2024-05-14 Kanon Kamronnaher , Andrew Bellucco , Whitney K. Huang , Colin M. Gallagher

Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

统计方法学 · 统计学 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

The main goal of this paper is an application of Bayesian model comparison, based on the posterior probabilities and posterior odds ratios, in testing the explanatory power of the set of competing GARCH (ang. Generalised Autoregressive…

数据分析、统计与概率 · 物理学 2008-10-06 Mateusz Pipien

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

SVR-GARCH model tends to "backward eavesdrop" when forecasting the financial time series volatility in which case it tends to simply produce the prediction by deviating the previous volatility. Though the SVR-GARCH model has achieved good…

统计金融 · 定量金融 2022-06-23 Jun Lu , Shao Yi

This paper offers a new method for estimation and forecasting of the volatility of financial time series when the stationarity assumption is violated. Our general local parametric approach particularly applies to general varying-coefficient…

统计方法学 · 统计学 2009-03-27 P. Čížek , W. Härdle , V. Spokoiny

This paper develops and estimates a multivariate affine GARCH(1,1) model with Normal Inverse Gaussian innovations that captures time-varying volatility, heavy tails, and dynamic correlation across asset returns. We generalize the…

计量经济学 · 经济学 2025-05-20 Ayush Jha , Abootaleb Shirvani , Ali Jaffri , Svetlozar T. Rachev , Frank J. Fabozzi

We introduce a heterogeneous spatiotemporal GARCH model for geostatistical data or processes on networks, e.g., for modelling and predicting financial return volatility across firms in a latent spatial framework. The model combines…

统计金融 · 定量金融 2025-08-29 Atika Aouri , Philipp Otto

We propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the…

计量经济学 · 经济学 2025-02-07 Ilya Archakov , Peter Reinhard Hansen , Asger Lunde

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

Estimating conditional quantiles of financial time series is essential for risk management and many other applications in finance. It is well-known that financial time series display conditional heteroscedasticity. Among the large number of…

统计方法学 · 统计学 2016-10-25 Yao Zheng , Qianqian Zhu , Guodong Li , Zhijie Xiao

This paper provides a probabilistic and statistical comparison of the log-GARCH and EGARCH models, which both rely on multiplicative volatility dynamics without positivity constraints. We compare the main probabilistic properties (strict…

统计理论 · 数学 2013-04-11 Christian Francq , Olivier Wintenberger , Jean-Michel Zakoïan

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…

统计方法学 · 统计学 2021-08-05 Donggyu Kim , Minseog Oh , Yazhen Wang

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

统计金融 · 定量金融 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

This study addresses the computational challenges of forecasting volatility in high-dimensional commodity markets. Building on the Network log-ARCH framework, we introduce a novel class of network topologies from GARCH-informed correlation…

计量经济学 · 经济学 2026-02-23 Fayçal Djebari , Kahina Mehidi , Khelifa Mazouz , Philipp Otto

In an era when derivatives is getting popular, risk management has gradually become the core content of modern finance. In order to study how to accurately estimate the volatility of the S&P 500 index, after introducing the theoretical…

数理金融 · 定量金融 2021-07-21 Wen Su