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The main goal of this paper is an application of Bayesian inference in testing the relation between risk and return on the financial instruments. On the basis of the Intertemporal CAPM model we built a general sampling model suitable in…

应用统计 · 统计学 2008-10-06 Mateusz Pipien

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

Generalized autoregressive conditional heteroscedasticity (GARCH) models have long been considered as one of the most successful families of approaches for volatility modeling in financial return series. In this paper, we propose an…

机器学习 · 计算机科学 2013-01-29 Emmanouil A. Platanios , Sotirios P. Chatzis

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

The theory of Bayesian learning incorporates the use of Student-t Processes to model heavy-tailed distributions and datasets with outliers. However, despite Student-t Processes having a similar computational complexity as Gaussian…

机器学习 · 计算机科学 2025-08-12 Jian Xu , Delu Zeng

We propose a new class of financial volatility models, called the REcurrent Conditional Heteroskedastic (RECH) models, to improve both in-sample analysis and out-ofsample forecasting of the traditional conditional heteroskedastic models. In…

计量经济学 · 经济学 2022-01-25 T. -N. Nguyen , M. -N. Tran , R. Kohn

Gaussian variational approximations are widely used for summarizing posterior distributions in Bayesian models, especially in high-dimensional settings. However, a drawback of such approximations is the inability to capture skewness or more…

统计方法学 · 统计学 2026-04-02 Lucas Kock , Linda S. L. Tan , Prateek Bansal , David J. Nott

This paper develops a Bayesian framework for the realized exponential generalized autoregressive conditional heteroskedasticity (realized EGARCH) model, which can incorporate multiple realized volatility measures for the modelling of a…

风险管理 · 定量金融 2020-08-25 Vica Tendenan , Richard Gerlach , Chao Wang

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

Matrix-variate time series data are largely available in applications. However, no attempt has been made to study their conditional heteroskedasticity that is often observed in economic and financial data. To address this gap, we propose a…

统计方法学 · 统计学 2023-06-09 Cheng Yu , Dong Li , Feiyu Jiang , Ke Zhu

Traditional mediation models in both the frequentist and Bayesian frameworks typically assume normality of the error terms. Violations of this assumption can impair the estimation and hypothesis testing of the mediation effect in…

统计方法学 · 统计学 2025-09-04 Zongyu Li , Mark Steel , Zhiyong Zhang

Gaussian processes (GPs) are distributions over functions, which provide a Bayesian nonparametric approach to regression and classification. In spite of their success, GPs have limited use in some applications, for example, in some cases a…

机器学习 · 计算机科学 2020-05-28 Alessio Benavoli , Dario Azzimonti , Dario Piga

We use the GARCH model with a fat-tailed error distribution described by a rational function and apply it for the stock price data on the Tokyo Stock Exchange. To determine the model parameters we perform the Bayesian inference to the…

计算金融 · 定量金融 2014-08-06 Ting Ting Chen , Tetsuya Takaishi

Christoffersen, Jacobs, Ornthanalai, and Wang (2008) (CJOW) proposed an improved Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model for valuing European options, where the return volatility is comprised of two distinct…

计量经济学 · 经济学 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

This paper introduces a Bayesian vector autoregression (BVAR) with stochastic volatility-in-mean and time-varying skewness. Unlike previous approaches, the proposed model allows both volatility and skewness to directly affect macroeconomic…

计量经济学 · 经济学 2025-10-10 Leonardo N. Ferreira , Haroon Mumtaz , Ana Skoblar

Insurance risks data typically exhibit skewed behaviour. In this paper, we propose a Bayesian approach to capture the main features of these datasets. This work extends the methodology introduced in Villa and Walker (2014a) by considering…

统计方法学 · 统计学 2016-07-19 Fabrizio Leisen , Juan Miguel Marin , Cristiano Villa

This paper proposes factor stochastic volatility models with skew error distributions. The generalized hyperbolic skew t-distribution is employed for common-factor processes and idiosyncratic shocks. Using a Bayesian sparsity modeling…

统计方法学 · 统计学 2019-03-27 Jouchi Nakajima

Several studies explore inferences based on stochastic volatility (SV) models, taking into account the stylized facts of return data. The common problem is that the latent parameters of many volatility models are high-dimensional and…

统计金融 · 定量金融 2018-09-06 T. R. Santos

Parameter estimates for associated genetic variants, report ed in the initial discovery samples, are often grossly inflated compared to the values observed in the follow-up replication samples. This type of bias is a consequence of the…

应用统计 · 统计学 2011-04-15 Lizhen Xu , Radu V. Craiu , Lei Sun

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
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