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This paper considers the problem of constructing finite-dimensional state space realizations for stochastic processes that can be represented as the outputs of a certain type of a causal system driven by a continuous semimartingale input…

Optimization and Control · Mathematics 2024-02-16 Tanya Veeravalli , Maxim Raginsky

More than thirty years ago, Charnes, Cooper and Schinnar (1976) established an enlightening contact between economic production functions (EPFs) -- a cornerstone of neoclassical economics -- and information theory, showing how a…

General Finance · Quantitative Finance 2009-01-20 Richard Nock , Brice Magdalou , Nicolas Sanz , Eric Briys , Fred Celimene , Frank Nielsen

Industries learn productivity improvements from their suppliers. The observed empirical importance of these interactions, often omitted by input-output models, mandates larger attention. This article embeds interdependent total factor…

Theoretical Economics · Economics 2023-12-27 Thomas M. Bombarde , Andrew L. Krause

Statistical depth, a commonly used analytic tool in non-parametric statistics, has been extensively studied for multivariate and functional observations over the past few decades. Although various forms of depth were introduced, they are…

Methodology · Statistics 2019-09-30 Weilong Zhao , Zishen Xu , Yun Yang , Wei Wu

Standard methods for estimating production functions in the Olley and Pakes (1996) tradition require assumptions on input choices. We introduce a new method that exploits (increasingly available) data on a firm's expectations of its future…

Econometrics · Economics 2024-07-12 Agnes Norris Keiller , Aureo de Paula , John Van Reenen

In this paper, I endeavour to construct a new model, by extending the classic exogenous economic growth model by including a measurement which tries to explain and quantify the size of technological innovation ( A ) endogenously. I do not…

Econometrics · Economics 2018-05-03 Murad Kasim

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

One of the main tasks in the study of financial and economic processes is forecasting and analysis of the dynamics of these processes. Within this task lie important research questions including how to determine the qualitative properties…

Chaotic Dynamics · Physics 2021-02-03 Tatyana A. Alexeeva , William A. Barnett , Nikolay V. Kuznetsov , Timur N. Mokaev

As countries develop, the relative importance of agriculture declines and economic activity becomes spatially concentrated. We develop a model integrating structural change and regional disparities to jointly capture these phenomena. A key…

General Economics · Economics 2024-12-06 Clement E. Bohr , Marti Mestieri , Frederic Robert-Nicoud

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

The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in various contexts. Here we propose a generative model to capture the dynamics of survival analysis,…

Physics and Society · Physics 2015-09-30 Trevor Fenner , Mark Levene , George Loizou

The spacetime discreteness of causal set theory has enabled the formulation of novel spacetime dynamics. In these so-called "growth" dynamics, a causal set spacetime is generated probabilistically by means of a random walk on certain tree…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Stav Zalel

Considering the production processes, it was noted that the use of various equipment leads to an increase in output -- the phenomenon that is usually described as the substitution of labor with capital. The proposed theory of substitution…

Physics and Society · Physics 2025-09-09 Vladimir Pokrovskii

Functional data are defined as realizations of random functions (mostly smooth functions) varying over a continuum, which are usually collected with measurement errors on discretized grids. In order to accurately smooth noisy functional…

Methodology · Statistics 2016-12-13 Jingjing Yang , Dennis D. Cox , Jong Soo Lee , Peng Ren , Taeryon Choi

Many biological characteristics of evolutionary interest are not scalar variables but continuous functions. Given a dataset of function-valued traits generated by evolution, we develop a practical statistical approach to infer ancestral…

We extend the exploration regarding dynamical approach of macroeconomic variables by tackling systematically expenditure using Statistical Physics models (for the first time to the best of our knowledge). Also, using polynomial distribution…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

As high-dimensional and high-frequency data are being collected on a large scale, the development of new statistical models is being pushed forward. Functional data analysis provides the required statistical methods to deal with large-scale…

Statistics Theory · Mathematics 2020-07-08 Israel Martínez-Hernández , Marc G. Genton

We demonstrate the effectiveness of the logistic function to model the evolution of two economic systems. The first is the GDP and trade growth of the USA, and the second is the revenue and human resource growth of IBM. Our modelling is…

Physics and Society · Physics 2023-09-06 Arnab K. Ray

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

Labor productivity in developed countries is analyzed and modeled. Modeling is based on our previous finding that the rate of labor force participation is a unique function of GDP per capita. Therefore, labor productivity is fully…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov , Oleg I. kitov