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We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels…

统计理论 · 数学 2018-01-01 Stephan Haug , Claudia Klüppelberg , German Straub

A Bayesian estimation of a GARCH model is performed for US Dollar/Japanese Yen exchange rate by the Metropolis-Hastings algorithm with a proposal density given by the adaptive construction scheme. In the adaptive construction scheme the…

统计金融 · 定量金融 2013-04-23 Tetsuya Takaishi

We study portfolio optimization of four major cryptocurrencies. Our time series model is a generalized autoregressive conditional heteroscedasticity (GARCH) model with multivariate normal tempered stable (MNTS) distributed residuals used to…

投资组合管理 · 定量金融 2021-08-10 Tetsuo Kurosaki , Young Shin Kim

In this paper, non-linear time series models are used to describe volatility in financial time series data. To describe volatility, two of the non-linear time series are combined into form TAR (Threshold Auto-Regressive Model) with AARCH…

统计金融 · 定量金融 2014-07-04 Kim Song Yon , Kim Mun Chol

Models for financial risk often assume that underlying asset returns are stationary. However, there is strong evidence that multivariate financial time series entail changes not only in their within-series dependence structure, but also in…

统计方法学 · 统计学 2021-03-03 Haeran Cho , Karolos Korkas

There is a serious and long-standing restriction in the literature on heavy-tailed phenomena in that moment conditions, which are unrealistic, are almost always assumed in modelling such phenomena. Further, the issue of stability is often…

统计方法学 · 统计学 2024-10-02 Yuxin Tao , Dong Li

In this paper, we consider subgeometric (specifically, polynomial) ergodicity of univariate nonlinear autoregressions with autoregressive conditional heteroskedasticity (ARCH). The notion of subgeometric ergodicity was introduced in the…

计量经济学 · 经济学 2025-01-15 Mika Meitz , Pentti Saikkonen

We propose a new approach to volatility modeling by combining deep learning (LSTM) and realized volatility measures. This LSTM-enhanced realized GARCH framework incorporates and distills modeling advances from financial econometrics, high…

计量经济学 · 经济学 2023-10-18 Chen Liu , Chao Wang , Minh-Ngoc Tran , Robert Kohn

The advantages of sequential Monte Carlo (SMC) are exploited to develop parameter estimation and model selection methods for GARCH (Generalized AutoRegressive Conditional Heteroskedasticity) style models. It provides an alternative method…

应用统计 · 统计学 2020-03-06 Dan Li , Adam Clements , Christopher Drovandi

This paper introduces the $\sigma$-Cell, a novel Recurrent Neural Network (RNN) architecture for financial volatility modeling. Bridging traditional econometric approaches like GARCH with deep learning, the $\sigma$-Cell incorporates…

计算金融 · 定量金融 2023-09-06 German Rodikov , Nino Antulov-Fantulin

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

We perform the Bayesian inference of a GARCH model by the Metropolis-Hastings algorithm with an adaptive proposal density. The adaptive proposal density is assumed to be the Student's t-distribution and the distribution parameters are…

计算金融 · 定量金融 2010-12-30 Tetsuya Takaishi

In this paper, we propose the realized Hyperbolic GARCH model for the joint-dynamics of lowfrequency returns and realized measures that generalizes the realized GARCH model of Hansen et al.(2012) as well as the FLoGARCH model introduced by…

统计方法学 · 统计学 2021-04-27 El Hadji Mamadou Sall , El Hadji Deme , Abdou Ka Diongue

We study the behavior of a real-valued and unobservable process (Y_t) under an extreme event of a related process (X_t) that is observable. Our analysis is motivated by the well-known GARCH model which represents two such sequences, i.e.…

概率论 · 数学 2013-05-16 Andree Ehlert , Ulf-Rainer Fiebig , Anja Janßen , Martin Schlather

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

In this paper we consider multivariate time series obtained as solution to multidimensional nonlinear stochastic difference equations whose coefficients are allowed to be locally degenerate and to present discontinuities. We provide simple…

概率论 · 数学 2012-09-07 Marco Ferrante , Giovanni Fonseca

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 this paper, an application of three GARCH-type models (sGARCH, iGARCH, and tGARCH) with Student t-distribution, Generalized Error distribution (GED), and Normal Inverse Gaussian (NIG) distribution are examined. The new development allows…

统计金融 · 定量金融 2019-10-08 Samuel Asante Gyamerah

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…

统计计算 · 统计学 2014-12-10 Jose A. Fioruci , Ricardo S. Ehlers , Francisco Louzada

This work investigates the effects of using the independent Jeffreys prior for the degrees of freedom parameter of a Student-t model in the asymmetric generalised autoregressive conditional heteroskedasticity (GARCH) model. To capture…

应用统计 · 统计学 2019-10-04 T. C. O. Fonseca , V. S. Cerqueira , H. S. Migon , C. A. C. Torres