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Commonly used methods of production function and markup estimation assume that a firm's output quantity can be observed as data, but typical datasets contain only revenue, not output quantity. We examine the nonparametric identification of…

Econometrics · Economics 2020-11-03 Hiroyuki Kasahara , Yoichi Sugita

There is growing empirical evidence that firm heterogeneity is technologically non-neutral. This paper extends Gandhi et al.'s (2020) proxy variable framework for structurally identifying production functions to a more general case when…

General Economics · Economics 2023-02-28 Emir Malikov , Shunan Zhao , Jingfang Zhang

This paper studies nonparametric identification and counterfactual bounds for heterogeneous firms that can be ranked in terms of productivity. Our approach works when quantities and prices are latent, rendering standard approaches…

Econometrics · Economics 2022-06-07 Victor H. Aguiar , Nail Kashaev , Roy Allen

We advance the proxy variable approach to production function estimation. We show that the invertibility assumption at its heart is testable. We characterize what goes wrong if invertibility fails and what can still be done. We show that…

Econometrics · Economics 2025-07-28 Ulrich Doraszelski , Lixiong Li

This paper examines the nonparametric identifiability of production functions, considering firm heterogeneity beyond Hicks-neutral technology terms. We propose a finite mixture model to account for unobserved heterogeneity in production…

Econometrics · Economics 2023-05-23 Hiroyuki Kasahara , Paul Schrimpf , Michio Suzuki

We develop a generalized control function approach to production function estimation. Our approach accommodates settings in which productivity evolves jointly with other unobservable factors such as latent demand shocks and the…

Econometrics · Economics 2025-12-10 Ulrich Doraszelski , Lixiong Li

We establish nonparametric identification of production functions, total factor productivity (TFP), price markups, and firms' output prices and quantities, as well as consumer demand, using firm-level revenue data, without observing output…

Econometrics · Economics 2026-03-03 Chun Pang Chow , Hiroyuki Kasahara , Yoichi Sugita

Production function estimates underpin the measurement of firm-level markups, allocative efficiency, and the productivity effects of policy interventions. Since Olley and Pakes (1996), every major proxy variable estimator has identified the…

Econometrics · Economics 2026-04-08 Rentaro Utamaru

Productions functions map the inputs of a firm or a productive system onto its outputs. This article expounds generalizations of the production function that include state variables, organizational structures and increasing returns to…

Physics and Society · Physics 2008-12-02 Guido Fioretti

Demand functions for goods are generally cyclical in nature with characteristics such as trend or stochasticity. Most existing demand forecasting techniques in literature are designed to manage and forecast this type of demand functions.…

Applications · Statistics 2011-10-04 Murphy Choy , Michelle L. F. Cheong

This paper considers the nonparametric regression model with an additive error that is dependent on the explanatory variables. As is common in empirical studies in epidemiology and economics, it also supposes that valid instrumental…

Statistics Theory · Mathematics 2015-06-11 Markus Grasmair , Otmar Scherzer , Anne Vanhems

Empirical models of demand for differentiated products rely on low-dimensional product representations to capture substitution patterns. These representations are increasingly proxied by applying ML methods to high-dimensional, unstructured…

Econometrics · Economics 2026-01-12 Timothy Christensen , Giovanni Compiani

We provide the first formal definition of reward hacking, a phenomenon where optimizing an imperfect proxy reward function leads to poor performance according to the true reward function. We say that a proxy is unhackable if increasing the…

Machine Learning · Computer Science 2025-03-07 Joar Skalse , Nikolaus H. R. Howe , Dmitrii Krasheninnikov , David Krueger

Tasks are central in machine learning, as they are the most natural objects to assess the capabilities of current models. The trend is to build general models able to address any task. Even though transfer learning and multitask learning…

Methods that rely on proxies, without imposing strong parametric structure, are increasingly used to deal with unobserved variables in causal inference. One influential line of this work reconstructs latent distributions used to identify…

Methodology · Statistics 2026-05-12 Helen Guo , Ilya Shpitser , Elizabeth L. Ogburn

The conventional functional form of the Constant-Elasticity-of-Substitution (CES) production function is a general production function nesting a number of other forms of production functions. Examples of such functions include Leontief,…

General Economics · Economics 2025-12-25 Ali Zeytoon-Nejad , Barry Goodwin

Bayesian modeling provides a principled approach to quantifying uncertainty in model parameters and model structure and has seen a surge of applications in recent years. Within the context of a Bayesian workflow, we are concerned with model…

Methodology · Statistics 2025-01-24 Maximilian Scholz , Paul-Christian Bürkner

Performative prediction is a framework for learning models that influence the data they intend to predict. We focus on finding classifiers that are performatively stable, i.e. optimal for the data distribution they induce. Standard…

Machine Learning · Computer Science 2025-02-07 Mehrnaz Mofakhami , Ioannis Mitliagkas , Gauthier Gidel

Most recent research in network revenue management incorporates choice behavior that models the customers' buying logic. These models are consequently more complex to solve, but they return a more robust policy that usually generates better…

Optimization and Control · Mathematics 2019-11-05 Thibault Barbier , Miguel Anjos , Fabien Cirinei , Gilles Savard

We study identification of differentiated product demand from market-level data when product characteristics can be endogenous. Past work suggests nonparametric identification may be impossible: that is, in addition to standard price…

Econometrics · Economics 2026-02-23 Kirill Borusyak , Jiafeng Chen , Peter Hull , Lihua Lei
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