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In nutritional and environmental epidemiology, exposures are impractical to measure accurately, while practical measures for these exposures are often subject to substantial measurement error. Regression calibration is among the most used…

Methodology · Statistics 2026-01-27 Zexiang Li , Donna Spiegelman , Molin Wang , Zuoheng Wang , Xin Zhou

In spite of the macroscopic character of the primordial fluctuations, the standard inflationary distribution (that obtained using linear mode equations) exhibits inherently quantum properties, that is, properties which cannot be mimicked by…

Astrophysics · Physics 2009-11-11 David Campo , Renaud Parentani

The Barker-Henderson perturbation theory is a bedrock of liquid-state physics, providing quantitative predictions for the bulk thermodynamic properties of realistic model systems. However, this successful method has not been exploited for…

Soft Condensed Matter · Physics 2020-11-03 S. M. Tschopp , H. D. Vuijk , A. Sharma , J. M. Brader

Potential buyers of a product or service, before making their decisions, tend to read reviews written by previous consumers. We consider Bayesian consumers with heterogeneous preferences, who sequentially decide whether to buy an item of…

Optimization and Control · Mathematics 2022-02-24 Etienne Boursier , Vianney Perchet , Marco Scarsini

Problem definition: Mining for heterogeneous responses to an intervention is a crucial step for data-driven operations, for instance to personalize treatment or pricing. We investigate how to estimate price sensitivity from…

Methodology · Statistics 2025-01-08 Jean Pauphilet

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

Theoretical Economics · Economics 2020-08-26 Carey Caginalp , Gunduz Caginalp

Ideally, a meta-analysis will summarize data from several unbiased studies. Here we consider the less than ideal situation in which contributing studies may be compromised by measurement error. Measurement error affects every study design,…

This paper develops a practical framework for using observational data to audit the consumer surplus effects of AI-driven decisions, specifically in targeted pricing and algorithmic lending. Traditional approaches first estimate demand…

Machine Learning · Statistics 2026-01-06 Zeyu Bian , Max Biggs , Ruijiang Gao , Zhengling Qi

We seek to understand when heterogeneity in user preferences yields improved outcomes in terms of overall cost. That this might be hoped for is based on the common belief that diversity is advantageous in many settings. We investigate this…

Computer Science and Game Theory · Computer Science 2018-06-29 Richard Cole , Thanasis Lianeas , Evdokia Nikolova

We study unit-level expenditure on consumption across multiple countries and multiple years, in order to extract invariant features of consumption distribution. We show that the bulk of it is lognormally distributed, followed by a power law…

Physics and Society · Physics 2017-03-01 Anindya S. Chakrabarti , Arnab Chatterjee , Tushar K. Nandi , Asim Ghosh , Anirban Chakraborti

When studying the causal effect of $x$ on $y$, researchers may conduct regression and report a confidence interval for the slope coefficient $\beta_{x}$. This common confidence interval provides an assessment of uncertainty from sampling…

Methodology · Statistics 2019-08-26 Brian Knaeble , Braxton Osting , Mark Abramson

We investigate the performance of the empirical median for location estimation in heteroscedastic settings. Specifically, we consider independent symmetric real-valued random variables that share a common but unknown location parameter…

Statistics Theory · Mathematics 2025-10-02 Sirine Louati

One of the most important empirical findings in microeconometrics is the pervasiveness of heterogeneity in economic behaviour (cf. Heckman 2001). This paper shows that cumulative distribution functions and quantiles of the nonparametric…

Econometrics · Economics 2020-05-19 Juan Carlos Escanciano

This paper studies identification and estimation of a dynamic discrete choice model of demand for differentiated product using consumer-level panel data with few purchase events per consumer (i.e., short panel). Consumers are…

Econometrics · Economics 2022-08-19 Victor Aguirregabiria

Many policy counterfactuals depend on how consumers value product attributes such as sugar, sodium, caffeine, alcohol, or emissions. Standard hedonic and differentiated-products models interpret these valuations statically. That…

Theoretical Economics · Economics 2026-05-20 Josephine Auer

We propose simultaneous mean-variance regression for the linear estimation and approximation of conditional mean functions. In the presence of heteroskedasticity of unknown form, our method accounts for varying dispersion in the regression…

Econometrics · Economics 2019-01-04 Richard Spady , Sami Stouli

This paper evaluates the dynamic response of economic activity to shocks in uncertainty as percieved by agents.The study focuses on the comparison between the perception of economic uncertainty by manufacturers and consumers.Since…

Applications · Statistics 2020-12-02 Oscar Claveria

In fields that are mainly nonexperimental, such as economics and finance, it is inescapable to compute test statistics and confidence regions that are not probabilistically independent from previously examined data. The Bayesian and…

Statistics Theory · Mathematics 2015-04-20 Benjamin Holcblat , Steffen Grønneberg

In this paper, we study the price responsiveness of electricity consumption from empirical commercial and industrial load data obtained from Texas. Employing a dynamical system perspective, we show that price responsive demand can be…

Applications · Statistics 2016-12-16 Jaeyong An , P. R. Kumar , Le Xie

In this article we revisit the classic problem of tatonnement in price formation from a microstructure point of view, reviewing a recent body of theoretical and empirical work explaining how fluctuations in supply and demand are slowly…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Jean-Philippe Bouchaud , J. Doyne Farmer , Fabrizio Lillo
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