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Count time series data are frequently analyzed by modeling their conditional means and the conditional variance is often considered to be a deterministic function of the corresponding conditional mean and is not typically modeled…

统计方法学 · 统计学 2024-04-30 Tianqing Liu , Xiaohui Yuan

We study Bayesian methods for large-scale linear inverse problems, focusing on the challenging task of hyperparameter estimation. Typical hierarchical Bayesian formulations that follow a Markov Chain Monte Carlo approach are possible for…

数值分析 · 数学 2024-01-05 Khalil A Hall-Hooper , Arvind K Saibaba , Julianne Chung , Scot M Miller

We propose a Bayesian elastic net that uses empirical likelihood and develop an efficient tuning of Hamiltonian Monte Carlo for posterior sampling. The proposed model relaxes the assumptions on the identity of the error distribution,…

统计方法学 · 统计学 2022-07-20 Chul Moon , Adel Bedoui

Stochastic reaction network models are often used to explain and predict the dynamics of gene regulation in single cells. These models usually involve several parameters, such as the kinetic rates of chemical reactions, that are not…

统计计算 · 统计学 2020-01-07 Thomas A. Catanach , Huy D. Vo , Brian Munsky

Price range contains important information about the asset volatility, and has long been considered an important indicator for it. In this paper, we propose to jointly model the [low, high] price range as a random interval and introduce an…

统计方法学 · 统计学 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

应用统计 · 统计学 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main

A Bayesian analytics framework that precisely quantifies uncertainty offers a significant advance for financial risk management. We develop an integrated approach that consistently enhances the handling of risk in market volatility…

Sample-based Bayesian inference provides a route to uncertainty quantification in the geosciences, and inverse problems in general, though is very computationally demanding in the naive form that requires simulating an accurate computer…

统计计算 · 统计学 2019-04-12 Tiangang Cui , Colin Fox , Michael J O'Sullivan

We consider geothermal inverse problems and uncertainty quantification from a Bayesian perspective. Our main goal is to make standard, `out-of-the-box' Markov chain Monte Carlo (MCMC) sampling more feasible for complex simulation models by…

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

统计方法学 · 统计学 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

Flexible spatial models that allow transitions between tail dependence classes have recently appeared in the literature. However, inference for these models is computationally prohibitive, even in moderate dimensions, due to the necessity…

统计理论 · 数学 2020-12-03 Likun Zhang , Benjamin A. Shaby , Jennifer L. Wadsworth

While deep learning models often achieve high predictive accuracy, their predictions typically do not come with any provable guarantees on risk or reliability, which are critical for deployment in high-stakes applications. The framework of…

机器学习 · 计算机科学 2025-10-13 Christopher Yeh , Nicolas Christianson , Adam Wierman , Yisong Yue

Cyclic and randomized stepsizes are widely used in the deep learning practice and can often outperform standard stepsize choices such as constant stepsize in SGD. Despite their empirical success, not much is currently known about when and…

机器学习 · 统计学 2023-08-30 Mert Gürbüzbalaban , Yuanhan Hu , Umut Şimşekli , Lingjiong Zhu

This paper studies a fixed-design residual bootstrap method for the two-step estimator of Francq and Zako\"ian (2015) associated with the conditional Expected Shortfall. For a general class of volatility models the bootstrap is shown to be…

计量经济学 · 经济学 2018-11-29 Alexander Heinemann , Sean Telg

This paper considers a semiparametric generalized autoregressive conditional heteroskedasticity (S-GARCH) model. For this model, we first estimate the time-varying long run component for unconditional variance by the kernel estimator, and…

统计方法学 · 统计学 2020-10-05 Feiyu Jiang , Dong Li , Ke Zhu

This study extends the Gai-Kapadia framework, originally developed for interbank contagion, to assess systemic risk and default cascades in global equity markets. We analyze a 30 asset network comprising Brazilian and developed market…

统计金融 · 定量金融 2026-04-23 Ana Isabel Castillo Pereda

This paper introduces ergodic-risk criteria, which capture long-term cumulative risks associated with controlled Markov chains through probabilistic limit theorems--in contrast to existing methods that require assumptions of either finite…

最优化与控制 · 数学 2025-12-03 Shahriar Talebi , Na Li

This paper develops a large-scale inference approach for the regularization of stock return covariance matrices. The framework allows for the presence of heavy tails and multivariate GARCH-type effects of unknown form among the stock…

计量经济学 · 经济学 2024-07-16 Richard Luger

We consider calculation of capital requirements when the underlying economic scenarios are determined by simulatable risk factors. In the respective nested simulation framework, the goal is to estimate portfolio tail risk, quantified via…

风险管理 · 定量金融 2018-05-18 Michael Ludkovski , James Risk

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

计量经济学 · 经济学 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher
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