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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

Uncertainty quantification is an important prerequisite for the deployment of deep learning models in safety-critical areas. Yet, this hinges on the uncertainty estimates being useful to the extent the prediction intervals are…

机器学习 · 计算机科学 2025-07-29 Dharmesh Tailor , Alvaro H. C. Correia , Eric Nalisnick , Christos Louizos

Atmospheric motion vectors (AMVs) extracted from satellite imagery are the only wind observations with good global coverage. They are important features for feeding numerical weather prediction (NWP) models. Several Bayesian models have…

统计方法学 · 统计学 2023-10-26 Patrick Héas , Frédéric Cérou , Mathias Rousset

In a $\delta-$shock model, a system subject to randomly occurring shocks, the system fails when the time between two successive shocks lies below a threshold $\delta$. In this note, we study the generalization of this model where such…

应用统计 · 统计学 2016-08-24 Viswanathan Arunachalam

In public discussions of the quality of forecasts, attention typically focuses on the predictive performance in cases of extreme events. However, the restriction of conventional forecast evaluation methods to subsets of extreme observations…

统计方法学 · 统计学 2016-01-01 Sebastian Lerch , Thordis L. Thorarinsdottir , Francesco Ravazzolo , Tilmann Gneiting

Probabilistic forecasts are typically obtained using state-of-the-art statistical and machine learning models, with model parameters estimated by optimizing a proper scoring rule over a set of training data. If the model class is not…

应用统计 · 统计学 2026-05-05 Jakob Benjamin Wessel , Maybritt Schillinger , Frank Kwasniok , Sam Allen

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators…

统计理论 · 数学 2007-08-22 Irene Gijbels , Danyu Lin , Zhiliang Ying

We propose novel methods for change-point testing for nonparametric estimators of expected shortfall and related risk measures in weakly dependent time series. We can detect general multiple structural changes in the tails of marginal…

计量经济学 · 经济学 2025-10-07 Lin Fan , Junting Duan , Peter W. Glynn , Markus Pelger

Time series forecasting is a critical task in various domains, where accurate predictions can drive informed decision-making. Traditional forecasting methods often rely on current observations of variables to predict future outcomes,…

机器学习 · 计算机科学 2026-03-17 Wentao Gao , Xiaojing Du , Wenjun Yu , Xiongren Chen , Yifan Guo , Feiyu Yang

Modern weather forecasts are commonly issued as consistent multi-day forecast trajectories with a time resolution of 1-3 hours. Prior to issuing, statistical post-processing is routinely used to correct systematic errors and…

应用统计 · 统计学 2020-04-22 Nina Schuhen , Thordis Thorarinsdottir , Alex Lenkoski

We introduce a new regression method that relates the mean of an outcome variable to covariates, under the "adverse condition" that a distress variable falls in its tail. This allows to tailor classical mean regressions to adverse…

计量经济学 · 经济学 2025-02-04 Timo Dimitriadis , Yannick Hoga

We consider the problem of finding confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides…

统计理论 · 数学 2017-12-01 Robert Lunde , Cosma Rohilla Shalizi

Reliable demand forecasts are critical for the effective supply chain management. Several endogenous and exogenous variables can influence the dynamics of demand, and hence a single statistical model that only consists of historical sales…

应用统计 · 统计学 2019-09-09 Mahdi Abolghasemi , Ali Eshragh , Jason Hurley , Behnam Fahimnia

Three years ago we found a statistically reliable link between ConocoPhillips' (NYSE: COP) stock price and the difference between the core and headline CPI in the United States. In this article, the original relationship is revisited with…

综合金融 · 定量金融 2012-04-25 Ivan Kitov

Time series analysis is the process of building a model using statistical techniques to represent characteristics of time series data. Processing and forecasting huge time series data is a challenging task. This paper presents Approximation…

Time series forecasting has long been dominated by advances in model architecture, with recent progress driven by deep learning and hybrid statistical techniques. However, as forecasting models approach diminishing returns in accuracy, a…

机器学习 · 计算机科学 2026-01-29 Daojun Liang , Qi Li , Yinglong Wang , Jing Chen , Hu Zhang , Xiaoxiao Cui , Qizheng Wang , Shuo Li

We introduce a technique of time series analysis, potential forecasting, which is based on dynamical propagation of the probability density of time series. We employ polynomial coefficients of the orthogonal approximation of the empirical…

数据分析、统计与概率 · 物理学 2015-06-12 V. N. Livina , G. Lohmann , M. Mudelsee , T. M. Lenton

In this work, we consider the problem of estimating the probability distribution, the quantile or the conditional expectation above the quantile, the so called conditional-value-at-risk, of output quantities of complex random differential…

统计计算 · 统计学 2023-05-23 Quentin Ayoul-Guilmard , Sundar Ganesh , Sebastian Krumscheid , Fabio Nobile

We present an analytical model to study the role of expectation feedbacks and overlapping portfolios on systemic stability of financial systems. Building on [Corsi et al., 2016], we model a set of financial institutions having Value at Risk…

综合经济学 · 经济学 2018-07-23 Piero Mazzarisi , Fabrizio Lillo , Stefano Marmi

Historically, the economic recession often came abruptly and disastrously. For instance, during the 2008 financial crisis, the SP 500 fell 46 percent from October 2007 to March 2009. If we could detect the signals of the crisis earlier, we…

统计金融 · 定量金融 2024-01-15 Yue Chen , Xingyi Andrew , Salintip Supasanya