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We introduce a novel class of systemic risk measures, the Vulnerability Conditional risk measures, which try to capture the "tail risk" of a risky position in scenarios where one or more market participants is experiencing financial…

Risk Management · Quantitative Finance 2024-11-15 Tong Pu , Yunran Wei , Yiying Zhang

In this paper, we propose a novel frequency-severity joint trip-level risk index that combines the frequency of abnormal driving patterns with a severity component reflecting how extreme such behavior is relative to a portfolio-level…

Applications · Statistics 2026-03-18 Jongtaek Lee , Andrei Badescu , X. Sheldon Lin

The relationship between a response variable and its covariates can vary significantly, especially in scenarios where covariates take on extremely high or low values. This paper introduces a max-linear tail regression model specifically…

Methodology · Statistics 2025-02-24 Liujun Chen , Deyuan Li , Zhengjun Zhang

One of the central objectives of modern risk management is to find a set of risks where the probability of multiple simultaneous catastrophic events is negligible. That is, risks are taken only when their joint behavior seems sufficiently…

Statistics Theory · Mathematics 2019-04-02 Jaakko Lehtomaa , Sidney Resnick

Expected shortfall (ES), also known as conditional value-at-risk, is a widely recognized risk measure that complements value-at-risk by capturing tail-related risks more effectively. Compared with quantile regression, which has been…

Methodology · Statistics 2025-11-13 Myeonghun Yu , Kean Ming Tan , Huixia Judy Wang , Wen-Xin Zhou

We consider a family of multivariate distributions with heavy-tailed margins and the type I elliptical dependence structure. This class of risks is common in finance, insurance, environmental and biostatistic applications. We obtain the…

Statistics Theory · Mathematics 2024-05-01 Kai Wang , Chengxiu Ling

Estimating heterogeneous treatment effects is important to tailor treatments to those individuals who would most likely benefit. However, conditional average treatment effect predictors may often be trained on one population but possibly…

Machine Learning · Computer Science 2024-10-18 Christoph Kern , Michael Kim , Angela Zhou

This paper investigates how two important sources of risk -- market tail risk and extreme market volatility risk -- are priced into the cross-section of asset returns across various investment horizons. To identify such risks, we propose a…

Pricing of Securities · Quantitative Finance 2021-12-13 Jozef Baruník , Matěj Nevrla

Tail dependence plays an essential role in the characterization of joint extreme events in multivariate data. However, most standard tail dependence parameters assume continuous margins. This note presents a form of tail dependence suitable…

Statistics Theory · Mathematics 2025-02-04 Victory Idowu

This article proposes a meta-learning method for estimating the conditional average treatment effect (CATE) from a few observational data. The proposed method learns how to estimate CATEs from multiple tasks and uses the knowledge for…

Machine Learning · Statistics 2023-05-22 Tomoharu Iwata , Yoichi Chikahara

Treatment effect heterogeneity plays an important role in many areas of causal inference and within recent years, estimation of the conditional average treatment effect (CATE) has received much attention in the statistical community. While…

Methodology · Statistics 2024-12-17 Simon Christoffer Ziersen , Torben Martinussen

In the context of multivariate functional data with individual phase variation, we develop a robust depth-based approach to estimate the main pattern function when cross-component time warping is also present. In particular, we consider the…

Methodology · Statistics 2026-02-02 Ana Arribas-Gil , Sara López-Pintado

We propose a novel multi-task neural network approach for estimating distributional treatment effects (DTE) in randomized experiments. While DTE provides more granular insights into the experiment outcomes over conventional methods focusing…

Machine Learning · Computer Science 2025-07-11 Tomu Hirata , Undral Byambadalai , Tatsushi Oka , Shota Yasui , Shingo Uto

Making decisions with respect to just the expected returns in Monte Carlo Tree Search (MCTS) cannot account for the potential range of high-risk, adverse outcomes associated with a decision. To this end, safety-aware MCTS often consider…

Machine Learning · Computer Science 2025-08-08 Zuyuan Zhang , Arnob Ghosh , Tian Lan

CoVaR (conditional value-at-risk) is a crucial measure for assessing financial systemic risk, which is defined as a conditional quantile of a random variable, conditioned on other random variables reaching specific quantiles. It enables the…

Risk Management · Quantitative Finance 2023-10-31 Weihuan Huang

We investigate the application of the Adaptive Multilevel Splitting algorithm for the estimation of tail probabilities of solutions of Stochastic Differential Equations evaluated at a given time, and of associated temporal averages. We…

Probability · Mathematics 2019-03-27 Charles-Edouard Bréhier , Tony Lelièvre

Markov switching models are often used to analyze financial returns because of their ability to capture frequently observed stylized facts. In this paper we consider a multivariate Student-t version of the model as a viable alternative to…

Methodology · Statistics 2014-03-04 Mauro Bernardi , Antonello Maruotti , Lea Petrella

Spatially-indexed multivariate data appear frequently in geostatistics and related fields including oceanography and environmental science. To take full advantage of this data structure, cross-covariance functions are constructed to…

Methodology · Statistics 2025-03-07 Drew Yarger , Anindya Bhadra

Statisticians show growing interest in estimating and analyzing heterogeneity in causal effects in observational studies. However, there usually exists a trade-off between accuracy and interpretability for developing a desirable estimator…

Methodology · Statistics 2023-06-26 Steven Siwei Ye , Yanzhen Chen , Oscar Hernan Madrid Padilla

Estimating the probability of extreme events involving multiple risk factors is a critical challenge in fields such as finance and climate science. This paper proposes a semi-parametric approach to estimate the probability that a…

Methodology · Statistics 2024-12-31 Anna Kiriliouk , Chen Zhou