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We propose forecast encompassing tests for the Expected Shortfall (ES) jointly with the Value at Risk (VaR) based on flexible link (or combination) functions. Our setup allows testing encompassing for convex forecast combinations and for…

Econometrics · Economics 2020-09-17 Timo Dimitriadis , Xiaochun Liu , Julie Schnaitmann

We show that the standard computational pipeline of probabilistic programming systems (PPSs) can be inefficient for estimating expectations and introduce the concept of expectation programming to address this. In expectation programming,…

Machine Learning · Computer Science 2022-06-22 Tim Reichelt , Adam Goliński , Luke Ong , Tom Rainforth

The paper discusses capital allocation using the Euler formula and focuses on the risk measures Value-at-Risk (VaR) and Expected shortfall (ES). Some new results connected to this capital allocation is known. Two examples illustrate that…

Risk Management · Quantitative Finance 2024-05-02 Lars Holden

Stochastic traffic capacity is used in traffic modelling and control for unidirectional sections of road infrastructure, although some of the estimation methods have recently proved flawed. However, even sound estimation methods require…

Applications · Statistics 2026-02-24 Igor Mikolasek

Sample selection improves the efficiency and effectiveness of machine learning models by providing informative and representative samples. Typically, samples can be modeled as a sample graph, where nodes are samples and edges represent…

Machine Learning · Computer Science 2025-03-04 Tianchi Xie , Jiangning Zhu , Guozu Ma , Minzhi Lin , Wei Chen , Weikai Yang , Shixia Liu

Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. Here, we…

Probability · Mathematics 2023-09-04 Åsmund Hausken Sande

The immense computational cost of traditional numerical weather and climate models has sparked the development of machine learning (ML) based emulators. Because ML methods benefit from long records of training data, it is common to use…

Machine Learning · Computer Science 2023-09-25 Timothy A. Smith , Stephen G. Penny , Jason A. Platt , Tse-Chun Chen

Accurate modeling of the patient flow within an Emergency Department (ED) is required by all studies dealing with the increasing and well-known problem of overcrowding. Since Discrete Event Simulation (DES) models are often adopted with the…

Optimization and Control · Mathematics 2021-02-02 A. De Santis , T. Giovannelli , S. Lucidi , M. Messedaglia , M. Roma

Uncertainty quantification in time series prediction is challenging due to the temporal dependence and distribution shift on sequential data. Conformal inference provides a pivotal and flexible instrument for assessing the uncertainty of…

Machine Learning · Statistics 2025-09-09 Junxi Wu , Dongjian Hu , Yajie Bao , Shu-Tao Xia , Changliang Zou

Historical (Stressed-) Value-at-Risk ((S)VAR), and Expected Shortfall (ES), are widely used risk measures in regulatory capital and Initial Margin, i.e. funding, computations. However, whilst the definitions of VAR and ES are unambiguous,…

Risk Management · Quantitative Finance 2014-05-30 Chris Kenyon , Andrew Green

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

Practical or scientific considerations often lead to selecting a subset of parameters as ``important.'' Inferences about those parameters often are based on the same data used to select them in the first place. That can make the reported…

Methodology · Statistics 2019-06-04 Yoav Benjamini , Yotam Hechtlinger , Philip B. Stark

Value-at-Risk (VaR) and Expected Shortfall (ES) are widely used in the financial sector to measure the market risk and manage the extreme market movement. The recent link between the quantile score function and the Asymmetric Laplace…

Machine Learning · Statistics 2021-05-14 Zhengkun Li , Minh-Ngoc Tran , Chao Wang , Richard Gerlach , Junbin Gao

Contours may be viewed as the 2D outline of the image of an object. This type of data arises in medical imaging as well as in computer vision and can be modeled as data on a manifold and can be studied using statistical shape analysis.…

Applications · Statistics 2017-05-17 Chalani Prematilake , Leif Ellingson

Large graphs abound in machine learning, data mining, and several related areas. A useful step towards analyzing such graphs is that of obtaining certain summary statistics - e.g., or the expected length of a shortest path between two…

Machine Learning · Statistics 2013-12-02 Mikhail Langovoy , Suvrit Sra

We present the Shortfall Deviation Risk (SDR), a risk measure that represents the expected loss that occurs with certain probability penalized by the dispersion of results that are worse than such an expectation. SDR combines Expected…

Risk Management · Quantitative Finance 2020-08-04 Marcelo Brutti Righi , Paulo Sergio Ceretta

Structured prediction tasks in machine learning involve the simultaneous prediction of multiple labels. This is typically done by maximizing a score function on the space of labels, which decomposes as a sum of pairwise elements, each…

Machine Learning · Computer Science 2014-09-23 Amir Globerson , Tim Roughgarden , David Sontag , Cafer Yildirim

Contours are used in radiotherapy treatment planning to identify regions to be irradiated with high dose and regions to be spared. Therefore, any contouring uncertainty influences the whole treatment. Even though this is the biggest…

Medical Physics · Physics 2022-04-22 Eliana Vásquez Osorio , Jane Shortall , Jennifer Robbins , Marcel van Herk

We address the problem that classical risk measures may not detect the tail risk adequately. This can occur for instance due to averaging when calculating the Expected Shortfall. The current literature proposes the so-called adjusted…

Mathematical Finance · Quantitative Finance 2025-04-24 Jascha Alexander , Christian Laudagé , Jörn Sass

With the robust uptick in the applications of Bayesian external data borrowing, eliciting a prior distribution with the proper amount of information becomes increasingly critical. The prior effective sample size (ESS) is an intuitive and…

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