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In this paper we use Gaussian Process (GP) regression to propose a novel approach for predicting volatility of financial returns by forecasting the envelopes of the time series. We provide a direct comparison of their performance to…

机器学习 · 统计学 2017-05-03 Syed Ali Asad Rizvi , Stephen J. Roberts , Michael A. Osborne , Favour Nyikosa

We address the challenges of modeling high-frequency integer price changes in financial markets using continuous distributions, particularly the Student's t-distribution. We demonstrate that traditional GARCH models, which rely on…

统计金融 · 定量金融 2025-10-14 Vladimír Holý

A general type of a Split-BREAK process with Gaussian innovations (henceforth, Gaussian Split-BREAK or GSB process) is considered. The basic stochastic properties of the model are studied and its characteristic function derived. A procedure…

统计理论 · 数学 2016-08-31 Vladica Stojanović , Gradimir V. Milovanović , Gordana Jelić

We examine the efficiency of the Asymmetric Power ARCH (APARCH) model in the case where the residuals follow the standardized Pearson type IV distribution. The model is tested with a variety of loss functions and the efficiency is examined…

风险管理 · 定量金融 2016-02-19 Stavros Stavroyiannis

In recent times empirical likelihood has been widely applied under Bayesian framework. Markov chain Monte Carlo (MCMC) methods are frequently employed to sample from the posterior distribution of the parameters of interest. However,…

统计方法学 · 统计学 2022-09-07 Sanjay Chaudhuri , Teng Yin

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

计量经济学 · 经济学 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

This paper develops a Bayesian Generalised Pareto Regression (GPR) model to forecast extreme losses in Indian equity markets, with a focus on the Nifty 50 index. Extreme negative returns, though rare, can cause significant financial…

统计金融 · 定量金融 2025-06-24 Sourish Das

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

The problem of optimally scaling the proposal distribution in a Markov chain Monte Carlo algorithm is critical to the quality of the generated samples. Much work has gone into obtaining such results for various Metropolis-Hastings (MH)…

统计计算 · 统计学 2022-02-07 Sanket Agrawal , Dootika Vats , Krzysztof Łatuszyński , Gareth O. Roberts

Reliable calculations of financial risk require that the fat-tailed nature of prices changes is included in risk measures. To this end, a non-Gaussian approach to financial risk management is presented, modeling the power-law tails of the…

物理与社会 · 物理学 2008-12-02 G. Bormetti , E. Cisana , G. Montagna , O. Nicrosini

Orthogonal Generalized Autoregressive Conditional Heteroskedasticity model (OGARCH) is widely used in finance industry to produce volatility and correlation forecasts. We show that the classic OGARCH model, nevertheless, tends to be too…

统计方法学 · 统计学 2019-09-27 Yufan Li

Standard, PCA-based factor analysis suffers from a number of well known problems due to the random nature of pairwise correlations of asset returns. We analyse an alternative based on ICA, where factors are identified based on their…

投资组合管理 · 定量金融 2022-03-02 Jan Rosenzweig

This paper proposes a semiparametric stochastic volatility (SV) model that relaxes the restrictive Gaussian assumption in both the return and volatility error terms, allowing them to follow flexible, nonparametric distributions with…

统计计算 · 统计学 2025-06-03 Yudong Feng , Ashis Gangopadhyay

A new class of survival frailty models based on the Generalized Inverse-Gaussian (GIG) distributions is proposed. We show that the GIG frailty models are flexible and mathematically convenient like the popular gamma frailty model.…

Estimation and prediction in high dimensional multivariate factor stochastic volatility models is an important and active research area because such models allow a parsimonious representation of multivariate stochastic volatility. Bayesian…

统计计算 · 统计学 2021-04-27 David Gunawan , Robert Kohn , David Nott

The entropic risk measure is widely used in high-stakes decision-making across economics, management science, finance, and safety-critical control systems because it captures tail risks associated with uncertain losses. However, when data…

最优化与控制 · 数学 2026-01-05 Utsav Sadana , Erick Delage , Angelos Georghiou

Forecast combination methods have traditionally emphasized symmetric loss functions, particularly squared error loss, with equally weighted combinations often justified as a robust approach under such criteria. However, these justifications…

统计方法学 · 统计学 2025-04-08 Henry D. van Eijk , Sujit K. Ghosh

We introduce a generalisation of the well-known ARCH process, widely used for generating uncorrelated stochastic time series with long-term non-Gaussian distributions and long-lasting correlations in the (instantaneous) standard deviation…

统计金融 · 定量金融 2011-04-12 Silvio M. Duarte Queiros , Evaldo M. F. Curado , Fernando D. Nobre

Information criteria, such as Akaike's information criterion and Bayesian information criterion are often applied in model selection. However, their asymptotic behaviors for selecting geostatistical regression models have not been well…

统计理论 · 数学 2014-12-03 Chih-Hao Chang , Hsin-Cheng Huang , Ching-Kang Ing

The estimation of loss distributions for dynamic portfolios requires the simulation of scenarios representing realistic joint dynamics of their components. We propose a novel data-driven approach for simulating realistic, high-dimensional…

风险管理 · 定量金融 2025-05-19 Rama Cont , Mihai Cucuringu , Renyuan Xu , Chao Zhang
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