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Linear mixed-effects models are a central analytical tool for modeling hierarchical and longitudinal data, as they allow simultaneous representation of fixed and random sources of variation. In practice, inference for such models is most…

Methodology · Statistics 2026-02-12 Hilde Vinje , Lars Erik Gangsei

We provide a constructive way of defining new elicitable risk measures that are characterised by a multiplicative scoring function. We show that depending on the choice of the scoring function's components, the resulting risk measure…

Mathematical Finance · Quantitative Finance 2025-03-06 Akif Ince , Marlon Moresco , Ilaria Peri , Silvana M. Pesenti

The aggregate Cobb-Douglas production function stands as a central element in the renowned Solow-Swan model in economics, providing a crucial theoretical framework for comprehending the determinants of economic growth. This model not only…

Theoretical Economics · Economics 2025-06-13 Timothy F. Power , Roman G. Smirnov

We study estimation of factor models in a fixed-T panel data setting and significantly relax the common correlated effects (CCE) assumptions pioneered by Pesaran (2006) and used in dozens of papers since. In the simplest case, we model the…

Econometrics · Economics 2021-12-03 Nicholas L. Brown , Peter Schmidt , Jeffrey M. Wooldridge

A meta-model of the input-output data of a computationally expensive simulation is often employed for prediction, optimization, or sensitivity analysis purposes. Fitting is enabled by a designed experiment, and for computationally expensive…

Methodology · Statistics 2023-12-01 Andrew Gill , David J. Warne , Antony M. Overstall , Clare McGrory , James M. McGree

We introduce a general Hamiltonian framework that appears to be a natural setting for the derivation of various production functions in economic growth theory, starting with the celebrated Cobb-Douglas function. Employing our method, we…

Theoretical Economics · Economics 2019-06-28 Roman G. Smirnov , Kunpeng Wang

We provide novel theoretical insights on structured prediction in the context of efficient convex surrogate loss minimization with consistency guarantees. For any task loss, we construct a convex surrogate that can be optimized via…

Machine Learning · Computer Science 2018-01-30 Anton Osokin , Francis Bach , Simon Lacoste-Julien

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

Numerical Analysis · Mathematics 2021-10-13 Andrei Cozma , Christoph Reisinger

Gibbs-ERM learning is a natural idealized model of learning with stochastic optimization algorithms (such as Stochastic Gradient Langevin Dynamics and ---to some extent--- Stochastic Gradient Descent), while it also arises in other…

Machine Learning · Computer Science 2019-02-06 Ilja Kuzborskij , Nicolò Cesa-Bianchi , Csaba Szepesvári

This paper explores the capabilities of the Constant Elasticity of Variance model driven by a mixed-fractional Brownian motion (mfCEV) [Axel A. Araneda. The fractional and mixed-fractional CEV model. Journal of Computational and Applied…

Mathematical Finance · Quantitative Finance 2022-11-15 Axel A. Araneda

Performativity of predictions refers to the phenomenon where prediction-informed decisions influence the very targets they aim to predict -- a dynamic commonly observed in policy-making, social sciences, and economics. In this paper, we…

Machine Learning · Statistics 2025-10-28 Xiang Li , Yunai Li , Huiying Zhong , Lihua Lei , Zhun Deng

We examine a multi-stage stochastic optimization problem characterized by stagewise-independent, decision-dependent noises with strict constraints. The problem assumes convexity in that, following a specific relaxation, it transforms into a…

Optimization and Control · Mathematics 2023-08-28 Chen Yan , Alexandre Reiffers-Masson

Causal excursion effect (CEE) characterizes the effect of an intervention under policies that deviate from the experimental policy. It is widely used to study the effect of time-varying interventions that have the potential to be frequently…

Methodology · Statistics 2024-06-14 Zhaoxi Cheng , Lauren Bell , Tianchen Qian

Manufacturing Execution Systems (MES) optimize production and business processes at the same time. However, the engineering and specification of MES is a challenging, interdisciplinary process. Especially IT and production experts with…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Maria Witsch , Birgit Vogel-Heuser

We extend the stochastic production planning framework to manufacturing systems, where the set of admissible production configurations is described by a general smooth convex domain $\omega $. In our setting, production operations continue…

Optimization and Control · Mathematics 2025-05-30 Dragos-Patru Covei

Although Fault Tree and Event Tree analysis are still today the standard approach to system safety analysis for many engineering sectors, these techniques lack the capabilities of fully capturing the realistic, dynamic behaviour of complex…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Silvia Tolo , John Andrews

Safe reinforcement learning has traditionally relied on predefined constraint functions to ensure safety in complex real-world tasks, such as autonomous driving. However, defining these functions accurately for varied tasks is a persistent…

Machine Learning · Computer Science 2025-01-31 Se-Wook Yoo , Seung-Woo Seo

In this study, a new and natural way of constructing a stochastic Susceptible-Infected-Susceptible (SIS) model is proposed. This approach is natural in the sense that the disease transmission rate, $\beta$, is substituted with a generic,…

Probability · Mathematics 2025-11-07 Berk Tan Perçin

Expected Shortfall (ES) in several variants has been proposed as remedy for the defi-ciencies of Value-at-Risk (VaR) which in general is not a coherent risk measure. In fact, most definitions of ES lead to the same results when applied to…

Statistical Mechanics · Physics 2008-12-10 Carlo Acerbi , Dirk Tasche

Panel data models with unobserved heterogeneity in the form of interactive effects standardly assume that the time effects -- or ``common factors'' -- enter linearly. This assumption is restrictive because it concerns an unobserved…

Econometrics · Economics 2026-05-29 Christina Maschmann , Joakim Westerlund