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The predictiveness curve is a valuable tool for predictive evaluation, risk stratification, and threshold selection in a target population, given a single biomarker or a prediction model. In the presence of competing risks, regression…

Methodology · Statistics 2025-08-04 Wei Tao , Jing Ning , Wen Li , Wenyaw Chan , Xi Luo , Ruosha Li

Value at risk (VaR) is a risk measure that has been widely implemented by financial institutions. This paper measures the correlation among asset price changes implied from VaR calculation. Empirical results using US and UK equity indexes…

Risk Management · Quantitative Finance 2011-03-30 John Cotter , François Longin

In this paper we introduce a generalization of classical risk measures in which the risk is represented by a step function taking two values, corresponding to two endogenously determined market regimes. This extends the traditional…

Probability · Mathematics 2026-03-16 Mihaela-Adriana Nistor , Ionel Popescu

We tackle the calibration of the so-called Stochastic-Local Volatility (SLV) model. This is the class of financial models that combines the local and stochastic volatility features and has been subject of the attention by many researchers…

Computational Finance · Quantitative Finance 2017-11-09 Yuri F. Saporito , Xu Yang , Jorge P. Zubelli

The optimal operation problem of electric vehicle aggregator (EVA) is considered. An EVA can participate in energy and regulation markets with its current and upcoming EVs, thus reducing its total cost of purchasing energy to fulfill EVs'…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Liling Gong , Ye Guo , Hongbin Sun

In this paper, we address the issue of model specification in probabilistic latent variable models (PLVMs) using an infinite-horizon optimal control approach. Traditional PLVMs rely on joint distributions to model complex data, but…

Systems and Control · Electrical Eng. & Systems 2025-07-29 Zhichao Chen , Hao Wang , Licheng Pan , Yiran Ma , Yunfei Teng , Jiaze Ma , Le Yao , Zhiqiang Ge , Zhihuan Song

Optimizing static risk-averse objectives in Markov decision processes is difficult because they do not admit standard dynamic programming equations common in Reinforcement Learning (RL) algorithms. Dynamic programming decompositions that…

Optimization and Control · Mathematics 2024-07-04 Jia Lin Hau , Erick Delage , Mohammad Ghavamzadeh , Marek Petrik

Cross-validation (CV) is often used to select the regularization parameter in high dimensional problems. However, when applied to the sparse modeling method Lasso, CV leads to models that are unstable in high-dimensions, and consequently…

Methodology · Statistics 2015-10-28 Chinghway Lim , Bin Yu

We study a first-order primal-dual subgradient method to optimize risk-constrained risk-penalized optimization problems, where risk is modeled via the popular conditional value at risk (CVaR) measure. The algorithm processes independent and…

Optimization and Control · Mathematics 2021-09-03 Avinash N. Madavan , Subhonmesh Bose

We consider an investor who seeks to maximize her expected utility derived from her terminal wealth relative to the maximum performance achieved over a fixed time horizon, and under a portfolio drawdown constraint, in a market with local…

Portfolio Management · Quantitative Finance 2016-10-28 Ankush Agarwal , Ronnie Sircar

The comovement phenomenon in financial markets creates decision scenarios with positively correlated asset returns. This paper addresses covariance matrix estimation under such conditions, motivated by observations of significant positive…

Econometrics · Economics 2025-07-03 Weilong Liu , Yanchu Liu

We present the conditional value-at-risk (CVaR) in the context of Markov chains and Markov decision processes with reachability and mean-payoff objectives. CVaR quantifies risk by means of the expectation of the worst p-quantile. As such it…

Logic in Computer Science · Computer Science 2018-05-09 Jan Křetínský , Tobias Meggendorfer

Local projections (LP) and vector autoregressions (VAR) are the two standard tools for impulse response analysis, but they often display a finite-sample trade-off: LP is typically less biased but more volatile, while VAR is more precise but…

Econometrics · Economics 2026-05-08 Chaoyi Chen , Elena Pesavento , Balazs Vonnak

We consider a collection of derivatives that depend on the price of an underlying asset at expiration or maturity. The absence of arbitrage is equivalent to the existence of a risk-neutral probability distribution on the price; in…

Computational Finance · Quantitative Finance 2020-03-09 Shane Barratt , Jonathan Tuck , Stephen Boyd

This paper compares the Value--at--Risk (VaR) forecasts delivered by alternative model specifications using the Model Confidence Set (MCS) procedure recently developed by Hansen et al. (2011). The direct VaR estimate provided by the…

Computation · Statistics 2015-02-17 Mauro Bernardi , Leopoldo Catania

Most supervised machine learning tasks are subject to irreducible prediction errors. Probabilistic predictive models address this limitation by providing probability distributions that represent a belief over plausible targets, rather than…

Machine Learning · Statistics 2022-10-25 David Widmann , Fredrik Lindsten , Dave Zachariah

Motivated by the prominence of Conditional Value-at-Risk (CVaR) as a measure for tail risk in settings affected by uncertainty, we develop a new formula for approximating CVaR based optimization objectives and their gradients from limited…

Methodology · Statistics 2020-08-25 Anand Deo , Karthyek Murthy

The escalating adoption of electric vehicles (EVs) and the growing demand for charging solutions are driving a surge in EV charger installations in distribution networks. However, this rising EV load strains the distribution grid, causing…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Linhan Fang , Xingpeng Li

Value at risk and expected shortfall are increasingly popular tail risk measures in the financial risk management field. Both academia and financial institutions are working to improve tail risk forecasts in order to meet the requirements…

Risk Management · Quantitative Finance 2022-02-23 Zhengkun Li

This paper explores the implications of producing forecast distributions that are optimized according to scoring rules that are relevant to financial risk management. We assess the predictive performance of optimal forecasts from…

Statistical Finance · Quantitative Finance 2023-03-06 Yuru Sun , Worapree Maneesoonthorn , Ruben Loaiza-Maya , Gael M. Martin