Dewitte, Ruben and Dumont, Michel and Rayp, Glenn and Willemé, Peter (2020): Unobserved Heterogeneity in the Productivity Distribution and Gains From Trade.
Preview |
PDF
MPRA_paper_102711.pdf Download (2MB) | Preview |
Abstract
A correct parametric approximation of the productivity distribution is essential to calculate Gains From Trade (GFT) in heterogeneous firms models. This paper argues that heterogeneity in productivity is best captured by Finite Mixture Models (FMMs). FMMs build on the existence of unobserved subpopulations in the data. As such, they are generally consistent with models of firm dynamics differing between groups of firms and allow for a very flexible distribution fit. We find FMMs to increase this fit by more than 70% compared to currently considered distributions. A GFT exercise with Portuguese data reveals that only FMMs approximate the ‘true gains’ reasonably well.
Item Type: | MPRA Paper |
---|---|
Original Title: | Unobserved Heterogeneity in the Productivity Distribution and Gains From Trade |
Language: | English |
Keywords: | Finite Mixture Model, firm size distribution, productivity distribution, Gains From Trade |
Subjects: | F - International Economics > F1 - Trade > F11 - Neoclassical Models of Trade F - International Economics > F1 - Trade > F12 - Models of Trade with Imperfect Competition and Scale Economies ; Fragmentation L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L11 - Production, Pricing, and Market Structure ; Size Distribution of Firms |
Item ID: | 102711 |
Depositing User: | Michel Dumont |
Date Deposited: | 08 Sep 2020 09:38 |
Last Modified: | 08 Sep 2020 09:38 |
References: | Albuquerque, R. and H. A. Hopenhayn (2004). Optimal lending contracts and firm dynamics. The Review of Economic Studies 71 (2), 285–315. Angelini, P. and A. Generale (2008). On the evolution of firm size distributions. The American Economic Review 98 (1), 426–438. Arkolakis, C. (2016). A Unified Theory of Firm Selection and Growth. The Quarterly Journal of Economics 131 (1), 89-155. Arkolakis, C., A. Costinot, and A. Rodríguez-Clare (2012). New Trade Models, Same Old Gains?American Economic Review 102 (1), 94–130. Atkeson, A. and A. Burstein (2010). Innovation, firm dynamics, and international trade. Journal of Political Economy 118 (3), 433–484. Aw, B. Y., M. J. Roberts, and D. Y. Xu (2011, June). R&D Investment, Exporting, and Productivity Dynamics. American Economic Review 101 (4), 1312–1344. Axtell, R. L. (2001). Zipf Distribution of U.S. Firm Sizes. Science 293 (5536), 1818–1820. Bakar, S. A., N. Hamzah, M. Maghsoudi, and S. Nadarajah (2015). Modeling loss data using composite models. Insurance: Mathematics and Economics 61, 146 – 154. Bakar, S. A. A. and S. Nadarajah (2013). CompLognormal: An R Package for Composite Lognormal Distributions. The R Journal 5 (2), 97–103. Bas, M., T. Mayer, and M. Thoenig (2017). From micro to macro: Demand, supply, and heterogeneity in the trade elasticity. Journal of International Economics 108, 1–19. Bastos, P., J. Silva, and E. Verhoogen (2018). Export Destinations and Input Prices. American Economic Review 108 (2), 353–392. Beard, T. R., S. B. Caudill, and D. M. Gropper (1997). The diffusion of production processes in the us banking industry: A finite mixture approach. Journal of Banking & Finance 21 (5), 721–740. Bee, M. and S. Schiavo (2018). Powerless: gains from trade when firm productivity is not Pareto distributed. Review of World Economics 154 (1), 15–45. Bernard, A. B., S. J. Redding, and P. K. Schott (2009). Products and productivity. The Scandinavian Journal of Economics 111 (4), 681–709. Bloom, N. and J. V. Reenen (2011). Chapter 19 - human resource management and productivity. Volume 4 of Handbook of Labor Economics, pp. 1697–1767. Elsevier. Bottazzi, G., D. Pirino, and F. Tamagni (2015). Zipf law and the firm size distribution: a critical discussion of popular estimators. Journal of evolutionary economics 25 (3), 585–610. Cabral, L. M. B. and J. Mata (2003, September). On the evolution of the firm size distribution: Facts and theory. American Economic Review 93 (4), 1075–1090. Caliendo, L., G. Mion, L. D. Opromolla, and E. Rossi-Hansberg (2020). Productivity and organization in Portuguese firms. Journal of Political Economy forthcoming. Caliendo, L. and E. Rossi-Hansberg (2012). The impact of trade on organization and productivity. The Quarterly Journal of Economics 127 (3), 1393–1467. Carreira, C. and P. Teixeira (2016). Entry and exit in severe recessions: lessons from the 2008–2013 Portuguese economic crisis. Small Business Economics 46 (4), 591–617. Carvalho, V. M. and B. Grassi (2019, April). Large firm dynamics and the business cycle. American Economic Review 109 (4), 1375–1425. Clauset, A., C. R. Shalizi, and M. E. J. Newman (2009). Power-Law Distributions in Empirical Data. SIAM Review 51 (4), 661–703. Clementi, G. L. and H. A. Hopenhayn (2006, 02). A Theory of Financing Constraints and Firm Dynamics. The Quarterly Journal of Economics 121 (1), 229–265. Cooley, T. F. and V. Quadrini (2001, December). Financial markets and firm dynamics. American Economic Review 91 (5), 1286–1310. Costantini, J. and M. Melitz (2008). The dynamics of firm-level adjustment to trade liberalization. The organization of firms in a global economy 4, 107–141. De Loecker, J. (2011). Product differentiation, multiproduct firms, and estimating the impact of trade liberalization on productivity. Econometrica 79 (5), 1407–1451. De Loecker, J. (2013). Detecting learning by exporting. American Economic Journal: Microeconomics 5 (3), 1–21. Desai, M., P. Gompers, and J. Lerner (2003). Institutions, capital constraints and entrepreneurial firm dynamics: Evidence from europe. Working Paper 10165, National Bureau of Economic Research. Dewitte, R. (2020). From Heavy-tailed Micro to Macro: On the characterization of ffirm-level heterogeneity and its aggregation properties. mimeo, Ghent University. di Giovanni, J. and A. A. Levchenko (2012). Country size, international trade, and aggregate fluctuations in granular economies. Journal of Political Economy 120 (6), 1083–1132. di Giovanni, J. and A. A. Levchenko (2013). Firm entry, trade, and welfare in zipf’s world. Journal of International Economics 89 (2), 283–296. di Giovanni, J., A. A. Levchenko, and R. Rancière (2011). Power laws in firm size and openness to trade: Measurement and implications. Journal of International Economics 85 (1), 42–52. Dias, D. A., C. R. Marques, and C. Richmond (2016). Misallocation and productivity in the lead up to the Eurozone crisis. Journal of Macroeconomics 49, 46–70. Eeckhout, J. (2004). Gibrat’s Law for (All) Cities. American Economic Review 94 (5), 1429–1451. Eeckhout, J. (2009). Gibrat’s Law for (All) Cities: Reply. American Economic Review 99 (4), 1676–1683. El-Gamal, M. A. and H. Inanoglu (2005). Inefficiency and heterogeneity in turkish banking: 1990–2000. Journal of Applied Econometrics 20 (5), 641–664. Feenstra, R. C. (2018). Restoring the product variety and pro-competitive gains from trade with heterogeneous firms and bounded productivity. Journal of International Economics 110, 16–27. Fernandes, A. M., P. J. Klenow, S. Meleshchuk, M. D. Pierola, and A. Rodríguez-Clare (2018). The Intensive Margin in Trade: Moving Beyond Pareto. Policy Research working paper WPS 8625, World Bank Group. Fernandes, A. P. and P. Ferreira (2017). Financing constraints and fixed-term employment: Evidence from the 2008-9 financial crisis. European Economic Review 92, 215–238. Fonseca, T., F. Lima, and S. C. Pereira (2018). Understanding productivity dynamics: A task taxonomy approach. Research Policy 47 (1), 289–304. Fop, M., T. B. Murphy, et al. (2018). Variable selection methods for model-based clustering. Statistics Surveys 12, 18–65. Freund, C. and M. D. Pierola (2015). Export Superstars. The Review of Economics and Statistics 97 (5), 1023–1032. Gabaix, X. (2009). Power laws in economics and finance. Annual Review of Economics 1 (1), 255–294. Gabaix, X. (2011). The granular origins of aggregate fluctuations. Econometrica 79 (3), 733–772. Gandhi, A., S. Navarro, and D. A. Rivers (0). On the identification of gross output production functions. Journal of Political Economy forthcoming. Giesen, K., A. Zimmermann, and J. Suedekum (2010). The size distribution across all cities double pareto lognormal strikes. Journal of Urban Economics 68 (2), 129 – 137. Greene, W. (2005). Reconsidering heterogeneity in panel data estimators of the stochastic frontier model. Journal of Econometrics 126 (2), 269–303. Grün, B. (2018). Model-based clustering. arXiv preprint 1807.01987, arXiv. Head, K., T. Mayer, and M. Thoenig (2014). Welfare and Trade without Pareto. American Economic Review 104 (5), 310–316. 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. Ioannides, Y. and S. Skouras (2013). Us city size distribution: Robustly pareto, but only in the tail. Journal of Urban Economics 73 (1), 18–29. Jovanovic, B. (1982). Selection and the evolution of industry. Econometrica 50 (3), 649–670. Kasahara, H. and J. Rodrigue (2008). Does the use of imported intermediates increase productivity? plant-level evidence. Journal of Development Economics 87 (1), 106–118. Kass, R. E. and A. E. Raftery (1995). Bayes factors. Journal of the American Statistical Association 90 (430), 773–795. Klette, T. and S. Kortum (2004). Innovating firms and aggregate innovation. Journal of Political Economy 112 (5), 986–1018. Kullback, S. and R. A. Leibler (1951). On information and sufficiency. The Annals of Mathematical Statistics 22 (1), 79–86. Kwong, H. S. and S. Nadarajah (2019). A note on pareto tails and lognormal body of us cities size distribution. Physica A: Statistical Mechanics and its Applications 513, 55–62. Lentz, R. and D. T. Mortensen (2008). An empirical model of growth through product innovation. Econometrica 76 (6), 1317–1373. Levy, M. (2009). Gibrat’s Law for (All) Cities: Comment. American Economic Review 99 (4), 1672–1675. Luckstead, J. and S. Devadoss (2017). Pareto tails and lognormal body of us cities size distribution. Physica A: Statistical Mechanics and its Applications 465, 573–578. Luttmer, E. G. (2007). Selection, growth, and the size distribution of firms. The Quarterly Journal of Economics 122 (3), 1103–1144. Malevergne, Y., V. Pisarenko, and D. Sornette (2011, Mar). Testing the Pareto against the lognormal distributions with the uniformly most powerful unbiased test applied to the distribution of cities. Phys. Rev. E 83, 036111. McLachlan, G. J. and D. Peel (2000). Finite mixture models. New York: Wiley Series in Probability and Statistics. Melitz, M. J. (2003). The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity. Econometrica 71 (6), 1695–1725. Melitz, M. J. and S. J. Redding (2014). Chapter 1 - Heterogeneous Firms and Trade. In E. H. Gita Gopinath and K. Rogoff (Eds.), Handbook of International Economics, Volume 4 of Handbook of International Economics, pp. 1–54. Elsevier. Melitz, M. J. and S. J. Redding (2015). New Trade Models, New Welfare Implications. American Economic Review 105 (3), 1105–1146. Miljkovic, T. and B. Grün (2016). Modeling loss data using mixtures of distributions. Insurance: Mathematics and Economics 70, 387–396. Nigai, S. (2017). A tale of two tails: Productivity distribution and the gains from trade. Journal of International Economics 104, 44–62. Orea, L. and S. C. Kumbhakar (2004). Efficiency measurement using a latent class stochastic frontier model. Empirical Economics 29 (1), 169–183. Perline, R. (2005). Strong, weak and false inverse power laws. Statistical Science 20 (1), 68–88. Reed, W. J. (2002). On the rank-size distribution for human settlements. Journal of Regional Science 42 (1), 1–17. Reed, W. J. and B. D. Hughes (2002). From gene families and genera to incomes and internet file sizes: Why power laws are so common in nature. Physical Review E 66 (6), 067103. Reed, W. J. and M. Jorgensen (2004). The double pareto-lognormal distributiona new parametric model for size distributions. Communications in Statistics - Theory and Methods 33 (8), 1733–1753. Rossi-Hansberg, E. and M. L. J. Wright (2007, December). Establishment size dynamics in the aggregate economy. American Economic Review 97 (5), 1639–1666. Sager, E. and O. A. Timoshenko (2019). The double emg distribution and trade elasticities. Canadian Journal of Economics/Revue canadienne d’économique 52 (4), 1523–1557. Scollnik, D. P. M. (2007). On composite lognormal-pareto models. Scandinavian Actuarial Journal 2007 (1), 20–33. Virkar, Y. and A. Clauset (2014). Power-law distributions in binned empirical data. The Annals of Applied Statistics, 89–119. Vuong, Q. H. (1989). Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses. Econometrica 57 (2), 307–333. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/102711 |