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We present a dialogue on Counterparty Credit Risk touching on Credit Value at Risk (Credit VaR), Potential Future Exposure (PFE), Expected Exposure (EE), Expected Positive Exposure (EPE), Credit Valuation Adjustment (CVA), Debit Valuation…

证券定价 · 定量金融 2012-06-19 Damiano Brigo

Modern policy gradient algorithms, such as TRPO and PPO, outperform vanilla policy gradient in many RL tasks. Questioning the common belief that enforcing approximate trust regions leads to steady policy improvement in practice, we show…

机器学习 · 计算机科学 2025-05-27 Tao Wang , Ruipeng Zhang , Sicun Gao

Reinforcement learning with verifiable reward has recently emerged as a central paradigm for post-training large language models (LLMs); however, prevailing mean-based methods, such as Group Relative Policy Optimization (GRPO), suffer from…

In this paper, we investigate the Lambda Value-at-Risk ($\Lambda$VaR) under ambiguity, where the ambiguity is represented by a family of probability measures. We establish that for increasing Lambda functions, the robust (i.e., worst-case)…

风险管理 · 定量金融 2025-11-04 Peng Liu , Alexander Schied

Utilizing established risk factors and prognostic models can often improve the construction of a newer risk model that uses novel biomarkers in a smaller, internal study. However, directly borrowing information from an established…

统计方法学 · 统计学 2026-03-12 Nicholas C. Henderson

This paper considers variational inequalities (VI) defined by the conditional value-at-risk (CVaR) of uncertain functions and provides three stochastic approximation schemes to solve them. All methods use an empirical estimate of the CVaR…

最优化与控制 · 数学 2022-11-16 Jasper Verbree , Ashish Cherukuri

The purpose of this paper is to describe and extend the use of the newly-introduced measure, residual estimation risk. Following the seminal work of Bignozzi and Tsanakas, the quantification of residual estimation risk is proposed in a…

风险管理 · 定量金融 2026-03-19 D. J. Manuge

The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment…

统计理论 · 数学 2017-10-19 Jana Jurečková , Martin Schindler , Jan Picek

Risk-sensitive reinforcement learning (RL) has garnered significant attention in recent years due to the growing interest in deploying RL agents in real-world scenarios. A critical aspect of risk awareness involves modeling highly rare risk…

机器学习 · 计算机科学 2023-08-30 Karthik Somayaji NS , Yu Wang , Malachi Schram , Jan Drgona , Mahantesh Halappanavar , Frank Liu , Peng Li

We consider optimal allocation problems with Conditional Value-At-Risk (CVaR) constraint. We prove, under very mild assumptions, the convergence of the Sample Average Approximation method (SAA) applied to this problem, and we also exhibit a…

投资组合管理 · 定量金融 2025-05-19 Jérôme Lelong , Véronique Maume-Deschamps , William Thevenot

Value-at-Risk is one of the most popular risk management tools in the financial industry. Over the past 20 years several attempts to include VaR in the portfolio selection process have been proposed. However, using VaR as a risk measure in…

投资组合管理 · 定量金融 2021-11-19 Francesco Cesarone , Manuel L Martino , Fabio Tardella

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

综合经济学 · 经济学 2022-11-10 George Samartzis , Nikitas Pittis

This paper develops a risk-adjusted alternative to standard optimal policy learning (OPL) for observational data by importing Roy's (1952) safety-first principle into the treatment assignment problem. We formalize a welfare functional that…

计量经济学 · 经济学 2025-10-07 Giovanni Cerulli , Francesco Caracciolo

In this paper, we introduce the rich classes of conditional distortion (CoD) risk measures and distortion risk contribution ($\Delta$CoD) measures as measures of systemic risk and analyze their properties and representations. The classes…

风险管理 · 定量金融 2019-01-29 Jan Dhaene , Roger J. A. Laeven , Yiying Zhang

This paper addresses a critical gap in the risk assessment of AI-enabled safety-critical systems. While these systems, where AI systems assists human operators, function as complex socio-technical systems, existing risk evaluation methods…

计算机与社会 · 计算机科学 2025-12-09 Niclas Flehmig , Mary Ann Lundteigen , Shen Yin

In contrast to the popular Cox model which presents a multiplicative covariate effect specification on the time to event hazards, the semiparametric additive risks model (ARM) offers an attractive additive specification, allowing for direct…

统计方法学 · 统计学 2022-03-21 Tong Wang , Dipankar Bandyopadhyay , Samiran Sinha

We introduce a new observational setting for Positive Unlabeled (PU) data where the observations at prediction time are also labeled. This occurs commonly in practice -- we argue that the additional information is important for prediction,…

机器学习 · 统计学 2024-07-16 Jan Mielniczuk , Adam Wawrzeńczyk

The attributable risk, often called the population attributable risk, is in many epidemiological contexts a more relevant measure of exposure-disease association than the excess risk, relative risk, or odds ratio. When estimating…

统计理论 · 数学 2008-12-31 Daniel B. Rubin

This paper introduces and studies factor risk measures. While risk measures only rely on the distribution of a loss random variable, in many cases risk needs to be measured relative to some major factors. In this paper, we introduce a…

数理金融 · 定量金融 2024-04-15 Hirbod Assa , Peng Liu

This paper focuses on vector-valued composite functionals, which may be nonlinear in probability. Our primary goal is to establish central limit theorems for these functionals when mixed estimators are employed. Our study is relevant to the…

统计理论 · 数学 2025-01-09 Huihui Chen , Darinka Dentcheva , Yang Lin , Gregory J. Stock
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