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This article proposes a novel Bayesian multivariate quantile regression to forecast the tail behavior of energy commodities, where the homoskedasticity assumption is relaxed to allow for time-varying volatility. In particular, we exploit…

Econometrics · Economics 2024-08-08 Matteo Iacopini , Francesco Ravazzolo , Luca Rossini

Autonomous mobile robots must maintain safety, but should not sacrifice performance, leading to the classical reach-avoid problem: find a trajectory that is guaranteed to reach a goal and avoid obstacles. This paper addresses the near…

Robotics · Computer Science 2024-10-28 Long Kiu Chung , Wonsuhk Jung , Chuizheng Kong , Shreyas Kousik

Randomized controlled trials (RCTs) often suffer from limited inferential efficiency in estimating treatment effects due to their small sample sizes. In recent years, incorporating external controls (ECs) has gained increasing attention as…

Methodology · Statistics 2026-04-16 Qinwei Yang , Jingyi Li , Peng Wu , Shu Yang

We introduce a semi-parametric Bayesian model for survival analysis. The model is centred on a parametric baseline hazard, and uses a Gaussian process to model variations away from it nonparametrically, as well as dependence on covariates.…

Machine Learning · Statistics 2016-11-04 Tamara Fernández , Nicolás Rivera , Yee Whye Teh

Forecasts of product demand are essential for short- and long-term optimization of logistics and production. Thus, the most accurate prediction possible is desirable. In order to optimally train predictive models, the deviation of the…

Machine Learning · Computer Science 2020-04-23 Dominik Martin , Philipp Spitzer , Niklas Kühl

A natural Monte Carlo method to approximate conditional expectations in a probabilistic framework is justified by a general result inspired on the Besicovitch covering theorem on differentiation of measures. The method is specially useful…

Computation · Statistics 2013-06-06 Agustín G. Nogales , P. Pérez , P. Monfort

Operational risk capital estimation under Basel II/III requires quantifying aggregate losses at extreme confidence levels of 99.9% and beyond, yet the standard Loss Distribution Approach (LDA) assumes independence between loss frequency and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-25 Juan Ballesteros Gómez , Eduardo C. Garrido-Merchán , Pedro Pablo Pérez-Velasco

We present an application of the Balanced Neural Ratio Estimation (BNRE) algorithm to improve the statistical validity of parameter estimates used to characterize the Epoch of Reionization, where the common assumption of a multivariate…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Diego González-Hernández , Molly Wolfson , Joseph F. Hennawi

In the era of increasingly complex AI models for time series forecasting, progress is often measured by marginal improvements on benchmark leaderboards. However, this approach suffers from a fundamental flaw: standard evaluation metrics…

Machine Learning · Computer Science 2026-05-28 Wanjin Feng , Yuan Yuan , Jingtao Ding , Yong Li

In this paper, we introduce reduced-bias estimators for the estimation of the tail index of a Pareto-type distribution. This is achieved through the use of a regularised weighted least squares with an exponential regression model for…

Methodology · Statistics 2022-04-19 E. Ocran , R. Minkah , G. Kallah-Dagadu , K. Doku-Amponsah

This research presents a framework for quantitative risk management in volatile markets, specifically focusing on expectile-based methodologies applied to the FTSE 100 index. Traditional risk measures such as Value-at-Risk (VaR) have…

Risk Management · Quantitative Finance 2025-07-21 Abiodun Finbarrs Oketunji

This paper proposes an enhanced approach to modeling and forecasting volatility using high frequency data. Using a forecasting model based on Realized GARCH with multiple time-frequency decomposed realized volatility measures, we study the…

Statistical Finance · Quantitative Finance 2015-02-04 Jozef Barunik , Tomas Krehlik , Lukas Vacha

Bayesian methods and their implementations by means of sophisticated Monte Carlo techniques, such as Markov chain Monte Carlo (MCMC) and particle filters, have become very popular in signal processing over the last years. However, in many…

Computation · Statistics 2012-05-29 Luca Martino , Joaquin Miguez

Clinical time-series forecasting is increasingly studied for decision support, yet standard aggregate metrics can obscure whether a model is actually useful for the task it is meant to serve. In safety-critical settings, low average error…

Machine Learning · Computer Science 2026-05-04 Alireza Namazi , Heman Shakeri

Recently, conditional average treatment effect (CATE) estimation has been attracting much attention due to its importance in various fields such as statistics, social and biomedical sciences. This study proposes a partially linear…

Methodology · Statistics 2022-01-31 Shunsuke Horii

Standard simultaneous autoregressive (SAR) models typically assume normally distributed errors, an assumption often violated in real-world datasets that frequently exhibit non-normal, skewed, or heavy-tailed characteristics. New SAR models…

Methodology · Statistics 2025-12-16 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

This paper applies the realized exponential generalized autoregressive conditional heteroskedasticity (REGARCH) model to analyze the Nikkei 225 index from 2010 to 2017, utilizing realized variance (RV) and realized range-based volatility…

Econometrics · Economics 2025-02-12 Yaming Chang

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

Methodology · Statistics 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

Payments in parametric insurance solutions are linked to an index and thus decoupled from policyholders' true losses. While this principle has appealing operational benefits compared to traditional indemnity coverage, i.e. is very efficient…

Applications · Statistics 2026-03-02 Markus Johannes Maier , Matthias Scherer

Deterministic compartmental models are predominantly used in the modeling of infectious diseases, though stochastic models are considered more realistic, yet are complicated to estimate due to missing data. In this paper we present a novel…

Computation · Statistics 2022-06-22 Shuying Wang , Stephen G. Walker