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This paper introduces fast R updating algorithms specifically designed for statistical applications, including regression, filtering, and model selection, where data structures change frequently. Although traditional QR decomposition is…

统计方法学 · 统计学 2026-03-09 Mauro Bernardi , Claudio Busatto , Manuela Cattelan

Appropriate risk management is crucial to ensure the competitiveness of financial institutions and the stability of the economy. One widely used financial risk measure is Value-at-Risk (VaR). VaR estimates based on linear and parametric…

统计金融 · 定量金融 2020-09-16 Marius Lux , Wolfgang Karl Härdle , Stefan Lessmann

This paper develops a safety analysis method for stochastic systems that is sensitive to the possibility and severity of rare harmful outcomes. We define risk-sensitive safe sets as sub-level sets of the solution to a non-standard optimal…

系统与控制 · 电气工程与系统科学 2022-06-28 Margaret P. Chapman , Riccardo Bonalli , Kevin M. Smith , Insoon Yang , Marco Pavone , Claire J. Tomlin

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

机器学习 · 统计学 2020-11-06 Denise Rava , Jelena Bradic

The quantile residual lifetime (QRL) regression is an attractive tool for assessing covariate effects on the distribution of residual life expectancy, which is often of interest in clinical studies. When the study subjects are exposed to…

统计方法学 · 统计学 2025-03-04 Tonghui Yu , Liming Xiang , Jong-Hyeon Jeong

Quantum sensing exploits non-classical effects to overcome limitations of classical sensors, with applications ranging from gravitational-wave detection to nanoscale imaging. However, practical quantum sensors built on noisy…

量子物理 · 物理学 2025-05-30 Ivana Nikoloska , Hamdi Joudeh , Ruud van Sloun , Osvaldo Simeone

The composite quantile regression (CQR) was introduced by Zou and Yuan [Ann. Statist. 36 (2008) 1108--1126] as a robust regression method for linear models with heavy-tailed errors while achieving high efficiency. Its penalized counterpart…

统计方法学 · 统计学 2023-10-16 Haeseong Moon , Wen-Xin Zhou

Risk management is very important for individual investors or companies. There are many ways to measure the risk of investment. Prices of risky assets vary rapidly and randomly due to the complexity of finance market. Random interval is a…

投资组合管理 · 定量金融 2022-07-26 Jinping Zhang , Keming Zhang

Risk-sensitive reinforcement learning (RL) aims to optimize policies that balance the expected reward and risk. In this paper, we present a novel risk-sensitive RL framework that employs an Iterated Conditional Value-at-Risk (CVaR)…

机器学习 · 计算机科学 2023-12-05 Yu Chen , Yihan Du , Pihe Hu , Siwei Wang , Desheng Wu , Longbo Huang

The debate of what quantitative risk measure to choose in practice has mainly focused on the dichotomy between Value at Risk (VaR) -- a quantile -- and Expected Shortfall (ES) -- a tail expectation. Range Value at Risk (RVaR) is a natural…

统计理论 · 数学 2022-06-27 Tobias Fissler , Johanna F. Ziegel

The reduced-rank vector autoregressive (VAR) model can be interpreted as a supervised factor model, where two factor modelings are simultaneously applied to response and predictor spaces. This article introduces a new model, called vector…

统计方法学 · 统计学 2023-06-16 Di Wang , Xiaoyu Zhang , Guodong Li , Ruey Tsay

Several approaches have been used to assess the performance of cyberphysical systems and their exposure to various types of risks. Such assessments have become increasingly important as autonomous attackers ramp up the frequency, duration…

密码学与安全 · 计算机科学 2021-02-02 Alexandre Ligo , Alexander Kott , Igor Linkov

This paper addresses allocation methodologies for a risk measure inherited from ruin theory. Specifically, we consider a dynamic value-at-risk (VaR) measure defined as the smallest initial capital needed to ensure that the ultimate ruin…

数理金融 · 定量金融 2021-03-31 Guusje Delsing , Michel Mandjes , Peter Spreij , Erik Winands

In contrast to the usual procedure of estimating the distribution of a time series and then obtaining the quantile from the distribution, we develop a compensatory model to improve the quantile estimation under a given distribution…

数理金融 · 定量金融 2021-12-15 Shuzhen Yang

VAR models are a type of multi-equation model that have been widely applied in econometrics. With the arrival of Big Data, huge amounts of data are being collected in numerous fields, making feasible the application of these kind of…

其他计算机科学 · 计算机科学 2017-12-01 Alfonso L. Castaño , Javier Cuenca , Domingo Giménez , Jose J. López-Espín , Alberto Pérez-Bernabeu

In this paper, we apply Value-at-Risk (VaR) approaches on the problem of yearly electric generation management. In a classical approach, the future is modelled as a markov chain and the goal is to minimize the average generation cost over…

最优化与控制 · 数学 2007-05-23 Vincent Guigues , Papa-Momar Ndiaye

Quantile Regression (QR) can be used to estimate aleatoric uncertainty in deep neural networks and can generate prediction intervals. Quantifying uncertainty is particularly important in critical applications such as clinical diagnosis,…

机器学习 · 计算机科学 2023-09-15 Haleh Akrami , Omar Zamzam , Anand Joshi , Sergul Aydore , Richard Leahy

High-dimensional time series data appear in many scientific areas in the current data-rich environment. Analysis of such data poses new challenges to data analysts because of not only the complicated dynamic dependence between the series,…

统计方法学 · 统计学 2022-06-22 Di Wang , Ruey S. Tsay

This report presents a comprehensive evaluation of three Value-at-Risk (VaR) modeling approaches: Historical Simulation (HS), GARCH with Normal approximation (GARCH-N), and GARCH with Filtered Historical Simulation (FHS), using both…

风险管理 · 定量金融 2025-10-06 Xin Tian

Autoregressive (AR) models are useful tools in time series analysis. Inferences under such models are distorted in the presence of measurement error, which is very common in practice. In this article, we establish analytical results for…

统计方法学 · 统计学 2022-03-11 Qihuang Zhang , Grace Y. Yi