Abstract

We employed the latest version of the world’s largest corporate financial database and identified the following three statistical properties of the physical labor productivity of firms: 1) The probability density function (PDF) of labor productivity follows power-law and log-normal distributions in the large- and mid-scale ranges. 2) Time-reversal symmetry was observed in the correlation of labor productivities in two consecutive years, and the initial-value dependence of the growth-rate distribution has regularity. These two properties accurately derive the above two kinds of PDFs. 3) The dependence of labor productivity distribution is negligible on the number of employees. This indicates a slight difference in the distribution of labor productivity among large-, mid-, and small-sized firms.

Highlights

  • In recent years, large-scale corporate financial data have been released to researchers

  • In this subsection we focus on the distribution of labor productivity, as the ratio of number of employees to operating revenues, which are the firm-size variables in the same year

  • Employing the latest version of ORBIS, the world’s largest corporate financial database available to researchers, we discuss the statistical properties of physical labor productivity using number of employees and operating revenues

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Summary

INTRODUCTION

Large-scale corporate financial data have been released to researchers. Instead its analysis focuses on physical labor productivity, which can be calculated from the firm-size variables This is because in large-scale corporate financial databases, the data on the number of employees exist up to several people, and coverage of the small scale is higher than that of capital. This is the first time that our approach to such firm-size variables as the number of employees and operating revenues has been applicable to labor productivity. Note that the observation of labor productivity c in two consecutive years is to confirm the time-reversal symmetry, not to view the flow

DATA OBSERVATIONS
Scatter Plots and PDFs
Initial-Value Dependences of Growth-Rate and Ratio Distributions
STATISTICAL PROPERTIES AND THEIR RELATIONS
Time-Reversal Symmetry of the Joint
Initial-Value Dependences of Growth-Rate Distributions and Gibrat’s Law
RESULTS AND DISCUSSION
DATA AVAILABILITY STATEMENT
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