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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

This survey reviews the existing literature on the most relevant Bayesian inference methods for univariate and multivariate GARCH models. The advantages and drawbacks of each procedure are outlined as well as the advantages of the Bayesian…

统计理论 · 数学 2014-02-04 Audronė Virbickaitė , M. Concepción Ausín , Pedro Galeano

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

A plethora of static and dynamic models exist to forecast Value-at-Risk and other quantile-related metrics used in financial risk management. Industry practice tends to favour simpler, static models such as historical simulation or its…

统计方法学 · 统计学 2022-03-11 Carol Alexander , Yang Han

This research addresses accurate option pricing by employing models beyond the traditional Black-Scholes framework. While Black-Scholes provides a closed-form solution, it is limited by assumptions of constant volatility, no dividends, and…

计算金融 · 定量金融 2026-04-08 Karmanpartap Singh Sidhu , Pranshi Saxena

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

计量经济学 · 经济学 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

We propose a Bayesian non-parametric approach for modeling the distribution of multiple returns. In particular, we use an asymmetric dynamic conditional correlation (ADCC) model to estimate the time-varying correlations of financial returns…

投资组合管理 · 定量金融 2018-05-10 Audrone Virbickaite , M. Concepción Ausín , Pedro Galeano

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

In the study of heavy tail data, several models have been introduced. If the interest is in the tail of the distribution, block maxima or excess over thresholds are the typical approaches, wasting relevant information in the bulk of the…

统计方法学 · 统计学 2026-02-10 Luis E. Nieto-Barajas

This paper introduces a unique and valuable research design aimed at analyzing Bitcoin price volatility. To achieve this, a range of models from the Markov Switching-GARCH and Stochastic Autoregressive Volatility (SARV) model classes are…

统计金融 · 定量金融 2024-01-12 Dennis Koch , Vahidin Jeleskovic , Zahid I. Younas

Robust Bayesian methods for high-dimensional regression problems under diverse sparse regimes are studied. Traditional shrinkage priors are primarily designed to detect a handful of signals from tens of thousands of predictors in the…

统计理论 · 数学 2024-10-25 Se Yoon Lee , Peng Zhao , Debdeep Pati , Bani K. Mallick

This paper introduces an integer-valued generalized autoregressive conditional heteroskedasticity (INGARCH) model based on the novel geometric distribution and discusses some of its properties. The parameter estimation problem of the models…

统计方法学 · 统计学 2025-06-24 Divya Kuttenchalil Andrews , N. Balakrishna

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

We develop two new estimators for a general class of stationary GARCH models with possibly heavy tailed asymmetrically distributed errors, covering processes with symmetric and asymmetric feedback like GARCH, Asymmetric GARCH, VGARCH and…

统计理论 · 数学 2015-07-29 Jonathan B. Hill

There are various metrics for financial risk, such as value at risk (VaR), expected shortfall, expected/unexpected loss, etc. When estimating these metrics, it was very common to assume Gaussian distribution for the asset returns, which may…

应用统计 · 统计学 2020-02-17 Shuguang Zhang , Minjing Tao , Xu-Feng Niu , Fred Huffer

Volatility, which indicates the dispersion of returns, is a crucial measure of risk and is hence used extensively for pricing and discriminating between different financial investments. As a result, accurate volatility prediction receives…

计算金融 · 定量金融 2024-10-02 Zeda Xu , John Liechty , Sebastian Benthall , Nicholas Skar-Gislinge , Christopher McComb

A new model framework called Realized Conditional Autoregressive Expectile (Realized-CARE) is proposed, through incorporating a measurement equation into the conventional CARE model, in a manner analogous to the Realized-GARCH model.…

风险管理 · 定量金融 2016-12-28 Richard Gerlach , Chao Wang

Stochastic variational inference algorithms are derived for fitting various heteroskedastic time series models. We examine Gaussian, t, and skew-t response GARCH models and fit these using Gaussian variational approximating densities. We…

统计计算 · 统计学 2023-08-30 Hanwen Xuan , Luca Maestrini , Feng Chen , Clara Grazian

Various spatiotemporal and network GARCH models have recently been proposed to capture volatility interactions, such as the transmission of market risk across financial networks. These approaches rely heavily on the specification of the…

应用统计 · 统计学 2026-03-03 Ariane N. Meli Chrisko , Jessie Li , Philipp Otto , Wolfgang Schmid

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

综合经济学 · 经济学 2024-07-09 Yujuan Qiu