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The stochastic volatility model is one of volatility models which infer latent volatility of asset returns. The Bayesian inference of the stochastic volatility (SV) model is performed by the hybrid Monte Carlo (HMC) algorithm which is…

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

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

统计金融 · 定量金融 2010-09-15 Frantisek Slanina

Meta learning is a promising paradigm in the era of large models and task distributional robustness has become an indispensable consideration in real-world scenarios. Recent advances have examined the effectiveness of tail task risk…

机器学习 · 计算机科学 2024-10-31 Yiqin Lv , Qi Wang , Dong Liang , Zheng Xie

The horseshoe prior is frequently employed in Bayesian analysis of high-dimensional models, and has been shown to achieve minimax optimal risk properties when the truth is sparse. While optimization-based algorithms for the extremely…

统计计算 · 统计学 2018-10-16 James E. Johndrow , Paulo Orenstein , Anirban Bhattacharya

Estimating time-varying correlation matrices is challenging because existing methods may adapt slowly to structural changes, impose insufficient regularization, or produce diffuse posterior uncertainty. In moderate dimensions, an additional…

统计方法学 · 统计学 2026-05-11 Daniel Andrew Coulson , David S. Matteson , Martin T. Wells

The first motivation of this paper is to study stationarity and ergodic properties for a general class of time series models defined conditional on an exogenous covariates process. The dynamic of these models is given by an autoregressive…

统计理论 · 数学 2020-07-16 Paul Doukhan , Michael H. Neumann , Lionel Truquet

Several phenomena are available representing market activity: volumes, number of trades, durations between trades or quotes, volatility - however measured - all share the feature to be represented as positive valued time series. When…

统计金融 · 定量金融 2021-07-14 Fabrizio Cipollini , Giampiero M. Gallo

A spin model is used for simulations of financial markets. To determine return volatility in the spin financial market we use the GARCH model often used for volatility estimation in empirical finance. We apply the Bayesian inference…

计算金融 · 定量金融 2016-11-28 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 we study the ergodicity properties of some adaptive Markov chain Monte Carlo algorithms (MCMC) that have been recently proposed in the literature. We prove that under a set of verifiable conditions, ergodic averages calculated…

概率论 · 数学 2016-08-16 Christophe Andrieu , Éric Moulines

Gaussian random vectors exhibit the loss of dimension phenomena, which relate to their joint survival tail behaviour. Besides, the fact that the components of such vectors are light-tailed complicates the approximations of various…

风险管理 · 定量金融 2018-10-09 E. Hashorva

Our goal is to develop a Bayesian model averaging technique in linear regression models that accommodates heavier tailed error densities than the normal distribution. Motivated by the use of the Huber loss function in the presence of…

统计方法学 · 统计学 2024-11-26 Shamriddha De , Joyee Ghosh

The autoregressive (AR) model is a widely used model to understand time series data. Traditionally, the innovation noise of the AR is modeled as Gaussian. However, many time series applications, for example, financial time series data, are…

应用统计 · 统计学 2019-03-27 Junyan Liu , Sandeep Kumar , Daniel P. Palomar

This paper proposes a novel conditional heteroscedastic time series model by applying the framework of quantile regression processes to the ARCH(\infty) form of the GARCH model. This model can provide varying structures for conditional…

统计方法学 · 统计学 2023-11-14 Qianqian Zhu , Songhua Tan , Yao Zheng , Guodong Li

Imitation learning algorithms learn viable policies by imitating an expert's behavior when reward signals are not available. Generative Adversarial Imitation Learning (GAIL) is a state-of-the-art algorithm for learning policies when the…

Conditional extreme value theory (EVT) methods promise enhanced forecasting of the extreme tail events that often dominate systemic risk. We present an improved two-tailed peaks-over-threshold (2T-POT) Hawkes model that is adapted for…

统计金融 · 定量金融 2023-11-28 Matthew F. Tomlinson , David Greenwood , Marcin Mucha-Kruczynski

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

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2019-11-26 Linda S. L. Tan , Nial Friel

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

统计方法学 · 统计学 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella

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