References
- Aigner, D. J., and A. S. Goldberger. 1970. “Estimation of Pareto’s Law from Grouped Observations.” Journal of the American Statistical Association 65 (330): 712–723. doi:10.1080/01621459.1970.10481119.
- Aitchison, J., and J. A. Brown. 1957. “The Lognormal Distribution with Special Reference to Its Uses in Economics.”
- Antras, P., and E. Helpman. 2004. “Global Sourcing.” The Journal of Political Economy 112 (3): 552–580. doi:10.1086/383099.
- Arkolakis, C., S. Demidova, P. J. Klenow, and A. Rodríguez-Clare. 2008. “Endogenous Variety and the Gains from Trade.” The American Economic Review 98 (2): 444–450. doi:10.1257/aer.98.2.444.
- Axtell, R. L. 2001. “Zipf Distribution of U.S. Firm Sizes.” Science 293 (5536): 1818–1820. doi:10.1126/science.1062081.
- Bee, M., M. Riccaboni, and S. Schiavo. 2017. “Where Gibrat Meets Zipf: Scale and Scope of French Firms.” Physica A: Statistical Mechanics and Its Applications 481: 265–275. doi:10.1016/j.physa.2017.04.012.
- Champernowne, D. G. 1953. “A Model of Income Distribution.” The Economic Journal 63 (250): 318–351. doi:10.2307/2227127.
- Chaney, T. 2008. “Distorted Gravity: The Intensive and Extensive Margins of International Trade.” The American Economic Review 98 (4): 1707–1721. doi:10.1257/aer.98.4.1707.
- Clauset, A., C. R. Shalizi, and M. E. Newman. 2009. “Power-Law Distributions in Empirical Data.” SIAM Review 51 (4): 661–703. doi:10.1137/070710111.
- Eaton, J., S. Kortum, and F. Kramarz. 2011. “An Anatomy of International Trade: Evidence from French Firms.” Econometrica 79 (5): 1453–1498.
- Gabaix, X., and A. Landier. 2008. “Why Has CEO Pay Increased so Much?” The Quarterly Journal of Economics 123 (1): 49–100. doi:10.1162/qjec.2008.123.1.49.
- Gibrat, R. 1931. “Les inégalités économiques.” Sirey.
- Gillespie, C. S. 2015. “Fitting Heavy Tailed Distributions: The Powerlaw Package.” Journal of Statistical Software 64 (2). doi:10.18637/jss.v064.i02.
- Gillespie, C. S. 2020. “Powerlaw Package”. Technical Report, 27.
- Goldstein, M. L., S. A. Morris, and G. G. Yen. 2004. “Problems with Fitting to the Power-Law Distribution.” The European Physical Journal B-Condensed Matter and Complex Systems 41 (2): 255–258. doi:10.1140/epjb/e2004-00316-5.
- Helpman, E., M. J. Melitz, and S. R. Yeaple. 2004. “Export versus FDI with Heterogeneous Firms.” The American Economic Review 94 (1): 300–316. doi:10.1257/000282804322970814.
- Helpman, E., M. Melitz, and Y. Rubinstein. 2008. “Estimating Trade Flows: Trading Partners and Trading Volumes.” The Quarterly Journal of Economics 123 (2): 441–487. doi:10.1162/qjec.2008.123.2.441.
- Ijiri, Y., and H. A. Simon. 1974. “Interpretations of Departures from the Pareto Curve Firm-Size Distributions.” The Journal of Political Economy 82 (2, Part 1): 315–331. doi:10.1086/260194.
- Kleiber, C., and S. Kotz. 2003. Statistical Size Distributions in Economics and Actuarial Sciences. Vol. 470. Hoboken, New Jersey: John Wiley & Sons.
- Kondo, I. O., L. T. Lewis, and A. Stella. 2020.” Heavy Tailed, But Not Zipf: Firm and Establishment Size in the US. http://ltlewis.net/KLS.pdf.
- Luttmer, E. G. 2007. “Selection, Growth, and the Size Distribution of Firms.” The Quarterly Journal of Economics 122 (3): 1103–1144. doi:10.1162/qjec.122.3.1103.
- Melitz, M. J., and G. I. Ottaviano. 2008. “Market Size, Trade, and Productivity.” The Review of Economic Studies 75 (1): 295–316. doi:10.1111/j.1467-937X.2007.00463.x.
- Melitz, M. J., and S. J. Redding. 2015. “New Trade Models, New Welfare Implications.” The American Economic Review 105 (3): 1105–1146. doi:10.1257/aer.20130351.
- Montebruno, P., R. J. Bennett, C. Van Lieshout, and H. Smith. 2019. “A Tale of Two Tails: Do Power Law and Lognormal Models Fit Firm-Size Distributions in the Mid-Victorian Era?” Physica A: Statistical Mechanics and Its Applications 523: 858–875. doi:10.1016/j.physa.2019.02.054.
- Perline, R. 2005. “Strong, Weak and False Inverse Power Laws.” Statistical Science 20 (1) 68–88.
- Rossi-Hansberg, E., and M. L. Wright. 2007. “Establishment Size Dynamics in the Aggregate Economy.” The American Economic Review 97 (5): 1639–1666. doi:10.1257/aer.97.5.1639.
- Seal, H. L. 1952. “The Maximum Likelihood Fitting of the Discrete Pareto Law.” Journal of the Institute of Actuaries 78 (1): 115–121. doi:10.1017/S0020268100052501.
- Simon, H. A. 1955. “On a Class of Skew Distribution Functions.” Biometrika 42 (3/4): 425–440. doi:10.1093/biomet/42.3-4.425.
- Simon, H. A., and C. P. Bonini. 1958. “The Size Distribution of Business Firms.” The American Economic Review 48 (4): 607–617.
- Vuong, Q. H. 1989. “Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses.” Econometrica 57 (2): 307–333. doi:10.2307/1912557.
- Zipf, G. K. 1949. Human Behavior and the Principle of Least Effort: An Introduction to Human Ecology. Cambridge: Addison-Wesley Press.