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In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

风险管理 · 定量金融 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

In practice, the value-at-risk (VaR) for a longer holding period is often scaled using the 'square root of time rule'. The VaR is determined for a shorter holding period and then scaled up according to the desired holding period. For…

风险管理 · 定量金融 2022-05-05 Marita Kuhlmann

The estimation of risk measures recently gained a lot of attention, partly because of the backtesting issues of expected shortfall related to elicitability. In this work we shed a new and fundamental light on optimal estimation procedures…

风险管理 · 定量金融 2017-08-25 Marcin Pitera , Thorsten Schmidt

Chance-constrained optimization is a suitable modeling framework for safety-critical applications where violating constraints is nearly unacceptable. The scenario approach is a popular solution method for these problems, due to its…

最优化与控制 · 数学 2026-03-19 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

风险管理 · 定量金融 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

Adaptive experiment designs can dramatically improve statistical efficiency in randomized trials, but they also complicate statistical inference. For example, it is now well known that the sample mean is biased in adaptive trials.…

机器学习 · 统计学 2021-02-16 Vitor Hadad , David A. Hirshberg , Ruohan Zhan , Stefan Wager , Susan Athey

Predicting risks of chronic diseases has become increasingly important in clinical practice. When a prediction model is developed in a given source cohort, there is often a great interest to apply the model to other cohorts. However, due to…

统计方法学 · 统计学 2020-03-05 Zheng Jiayin , Zheng Yingye , Hsu Li

Risk scores are simple classification models that let users make quick risk predictions by adding and subtracting a few small numbers. These models are widely used in medicine and criminal justice, but are difficult to learn from data…

机器学习 · 统计学 2020-10-21 Berk Ustun , Cynthia Rudin

Risk management is particularly concerned with extreme events, but analysing these events is often hindered by the scarcity of data, especially in a multivariate context. This data scarcity complicates risk management efforts. Various tools…

统计方法学 · 统计学 2026-01-15 Nisrine Madhar , Juliette Legrand , Maud Thomas

Assessing the capabilities and risks of frontier AI systems is a critical area of research, and recent work has shown that repeated sampling from models can dramatically increase both. For instance, repeated sampling has been shown to…

人工智能 · 计算机科学 2025-10-08 Joshua Kazdan , Rylan Schaeffer , Youssef Allouah , Colin Sullivan , Kyssen Yu , Noam Levi , Sanmi Koyejo

Sampling is often a necessary evil to reduce the processing and storage costs of distributed tracing. In this work, we describe a scalable and adaptive sampling approach that can preserve events of interest better than the widely used…

数据结构与算法 · 计算机科学 2021-07-19 Otmar Ertl

While the estimation of risk is an important question in the daily business of banking and insurance, many existing plug-in estimation procedures suffer from an unnecessary bias. This often leads to the underestimation of risk and…

风险管理 · 定量金融 2022-01-28 Marcin Pitera , Thorsten Schmidt

In practice daily volatility of portfolio returns is transformed to longer holding periods by multiplying by the square-root of time which assumes that returns are not serially correlated. Under this assumption this procedure of scaling can…

风险管理 · 定量金融 2011-11-30 Nikolaus Rab , Richard Warnung

While the {estimation} of risk is an important question in the daily business of banking and insurance, many existing plug-in estimation procedures suffer from an unnecessary bias. This often leads to the underestimation of risk and…

风险管理 · 定量金融 2022-02-04 Marcin Pitera , Thorsten Schmidt

We propose a simple yet effective policy for the predictive auto-scaling of horizontally scalable applications running in cloud environments, where compute resources can only be added with a delay, and where the deployment throughput is…

分布式、并行与集群计算 · 计算机科学 2020-08-05 Valentin Flunkert , Quentin Rebjock , Joel Castellon , Laurent Callot , Tim Januschowski

The entropic risk measure is widely used in high-stakes decision-making across economics, management science, finance, and safety-critical control systems because it captures tail risks associated with uncertain losses. However, when data…

最优化与控制 · 数学 2026-01-05 Utsav Sadana , Erick Delage , Angelos Georghiou

To recover a low rank structure from a noisy matrix, truncated singular value decomposition has been extensively used and studied. Recent studies suggested that the signal can be better estimated by shrinking the singular values. We pursue…

统计方法学 · 统计学 2014-11-25 Julie Josse , Sylvain Sardy

We introduce a novel covariance estimator for portfolio selection that adapts to the non-stationary or persistent heteroskedastic environments of financial time series by employing exponentially weighted averages and nonlinearly shrinking…

机器学习 · 统计学 2023-01-23 Vincent Tan , Stefan Zohren

Random shifting typically appears in credibility models whereas random scaling is often encountered in stochastic models for claim sizes reflecting the time-value property of money. In this article we discuss some aspects of random shifting…

统计方法学 · 统计学 2014-10-08 Enkelejd Hashorva , Lanpeng Ji

Scaling and multiscaling financial time series have been widely studied in the literature. The research on this topic is vast and still flourishing. One way to analyze the scaling properties of time series is through the estimation of their…

风险管理 · 定量金融 2021-03-18 Giuseppe Brandi , T. Di Matteo
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