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This paper studies inter-firm heterogeneity in production. Unlike much of the existing research, which primarily addresses heterogeneous production through unobserved fixed effects, our approach also focuses on differences in factors'…

General Economics · Economics 2024-11-26 Michele Battisti , Valentino Dardanoni , Stefano Demichelis

The main aim of this paper is to prove the existence of a new production function with variable elasticity of factor substitution. This production function is a more general form which includes the Cobb-Douglas production function and the…

Theoretical Economics · Economics 2019-07-31 Constantin Chilarescu

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 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

In their seminal 1928 work, Charles Cobb and Paul Douglas empirically validated the Cobb-Douglas production function through statistical analysis of U.S. economic data from 1899 to 1923. While this established the function's theoretical…

Applications · Statistics 2025-06-03 Roman G. Smirnov

This paper proposes a correlated random coefficient linear panel data model, where regressors can be correlated with time-varying and individual-specific random coefficients through both a fixed effect and a time-varying random shock. I…

Econometrics · Economics 2026-02-24 Ming Li

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

Charles Cobb and Paul Douglas in 1928 used data from the US manufacturing sector for 1899-1922 to introduce what is known today as the Cobb-Douglas production function that has been widely used in economic theory for decades. We employ the…

General Economics · Economics 2019-10-22 Roman G. Smirnov , Kunpeng Wang

Each production establishment is assumed to have, at any given time, a unique combination of capital and labor (a Leontief function), but the aggregate output at that same time must still be modeled with a Cobb-Douglas function (or a CES,…

Theoretical Economics · Economics 2025-12-18 Carlos Esteban Posada Posada

Heterogeneity of economic agents is emphasized in a new trend of macroeconomics. Accordingly the new emerging discipline requires one to replace the production function, one of key ideas in the conventional economics, by an alternative…

General Finance · Quantitative Finance 2010-11-23 H. Iyetomi , H. Aoyama , Y. Fujiwara , Y. Ikeda , W. Souma

Contact problems with Coulomb friction in linear elasticity are notoriously difficult and their mathematical analysis is still largely incomplete. In this paper, a model problem with heterogeneous friction coefficient is considered in…

Analysis of PDEs · Mathematics 2022-01-12 Patrick Ballard , Flaviana Iurlano

The purpose of this study is to estimate the production function and examine the structure of production in the mining sector of Iran. Several studies have already been conducted in estimating production functions of various economic…

General Finance · Quantitative Finance 2015-09-23 Seyyed Ali Zeytoon Nejad Moosavian

We consider mechanically-induced pattern formation within the framework of a growing, planar, elastic rod attached to an elastic foundation. Through a combination of weakly nonlinear analysis and numerical methods, we identify how the shape…

Biological Physics · Physics 2020-06-02 Axel A. Almet , Helen M. Byrne , Philip K. Maini , Derek E. Moulton

We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the modified error in constitutive equation (MECE), an…

Analysis of PDEs · Mathematics 2018-12-11 Wilkins Aquino , Marc Bonnet

Organizations like U.S. Census Bureau rely on non-exhaustive surveys to estimate industry-level production functions in years in which a full Census is not conducted. When analyzing data from non-census years, we propose selecting an…

Applications · Statistics 2018-09-24 José Luis Preciado Arreola , Daisuke Yagi , Andrew L. Johnson

A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of…

Applications · Statistics 2021-03-15 A. V. Shutov , A. A. Kaygorodtseva

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

This research presents a dynamic modeling framework and parameter identification methods for describing the highly nonlinear behaviors of flexibly connected dual-AUV systems. The modeling framework is established based on the lumped mass…

Robotics · Computer Science 2026-02-09 Kuo Chen , Minghao Dou , Qianqi Liu , Yang An , Kai Ren , Zeming WU , Yu Tian , Jie Sun , Xinping Wang , Zhier Chen , Jiancheng Yu

Two approaches to incorporate heterogeneity in discrete models are compared. In the first, standard approach, the heterogeneity is dictated by geometrical structure of the discrete system. In the second approach, the heterogeneity is…

Computational Engineering, Finance, and Science · Computer Science 2025-06-26 Jan Raisinger , Qiwei Zhang , John E. Bolander , Jan Eliáš

This work proposes a new method for simultaneous probabilistic identification and control of an observable, fully-actuated mechanical system. Identification is achieved by conditioning stochastic process priors on observations of…

Machine Learning · Computer Science 2014-04-02 Jan-Peter Calliess , Antonis Papachristodoulou , Stephen J. Roberts
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