An improvement over the normal distribution for log-growth rates of city sizes: Empirical evidence for France, Germany, Italy and Spain
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- Pierre‐Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012.
"The Productivity Advantages of Large Cities: Distinguishing Agglomeration From Firm Selection,"
Econometrica, Econometric Society, vol. 80(6), pages 2543-2594, November.
- Pierre-Philippe COMBES & Gilles DURANTON & Laurent GOBILLON & Diego PUGA & Sébastien ROUX, 2009. "The Productivity Advantages of Large Cities : Distinguishing Agglomeration from Firm Selection," Working Papers 2009-08, Center for Research in Economics and Statistics.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," Post-Print hal-00812695, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00812695, HAL.
- Pierre Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers 2009-02, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales, revised 30 Nov 2010.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," PSE-Ecole d'économie de Paris (Postprint) hal-00812695, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Diego Puga & Sebastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers tecipa-353, University of Toronto, Department of Economics.
- Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent & Puga, Diego & Roux, Sébastien, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," CEPR Discussion Papers 7191, C.E.P.R. Discussion Papers.
- PierrePhilippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," SERC Discussion Papers 0027, Spatial Economics Research Centre, LSE.
- Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent & Puga, Diego & Roux, Sébastien, 2012. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," IZA Discussion Papers 6502, Institute of Labor Economics (IZA).
- Ramos, Arturo, 2015. "Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US," MPRA Paper 65584, University Library of Munich, Germany.
- McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-663, May.
- Miguel Puente-Ajovín & Arturo Ramos, 2015.
"On the parametric description of the French, German, Italian and Spanish city size distributions,"
The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 489-509, March.
- Puente-Ajovin, Miguel & Ramos, Arturo, 2014. "On the parametric description of the French, German, Italian and Spanish city size distributions," MPRA Paper 55285, University Library of Munich, Germany.
- Ioannides, Yannis & Skouras, Spyros, 2013. "US city size distribution: Robustly Pareto, but only in the tail," Journal of Urban Economics, Elsevier, vol. 73(1), pages 18-29.
- Giulio Bottazzi & Angelo Secchi, 2011.
"A new class of asymmetric exponential power densities with applications to economics and finance,"
Industrial and Corporate Change, Oxford University Press, vol. 20(4), pages 991-1030, August.
- Giulio Bottazzi & Angelo Secchi, 2011. "A New Class of Asymmetric Exponential Power Densities with Applications to Economics and Finance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00642696, HAL.
- Giulio Bottazzi & Angelo Secchi, 2011. "A New Class of Asymmetric Exponential Power Densities with Applications to Economics and Finance," Post-Print hal-00642696, HAL.
- Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
- Reed, William J., 2003. "The Pareto law of incomes—an explanation and an extension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 469-486.
- Glaeser, Edward L & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1992.
"Growth in Cities,"
Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1126-1152, December.
- Edward L. Glaeser & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1991. "Growth in Cities," NBER Working Papers 3787, National Bureau of Economic Research, Inc.
- Glaeser, Edward Ludwig & Kallal, Hedi D. & Scheinkman, Jose A. & Shleifer, Andrei, 1992. "Growth in Cities," Scholarly Articles 3451309, Harvard University Department of Economics.
- McDonald, James B. & Xu, Yexiao J., 1995.
"A generalization of the beta distribution with applications,"
Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
- McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
- Ole Eiler Barndorff‐Nielsen & Robert Stelzer, 2005. "Absolute Moments of Generalized Hyperbolic Distributions and Approximate Scaling of Normal Inverse Gaussian Lévy Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(4), pages 617-637, December.
- Manas, Arnaud, 2009. "French butchers don't do quantum physics," Economics Letters, Elsevier, vol. 103(2), pages 101-106, May.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2006.
"Urban growth and housing supply,"
Journal of Economic Geography, Oxford University Press, vol. 6(1), pages 71-89, January.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2005. "Urban Growth and Housing Supply," Harvard Institute of Economic Research Working Papers 2062, Harvard - Institute of Economic Research.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2005. "Urban Growth and Housing Supply," NBER Working Papers 11097, National Bureau of Economic Research, Inc.
- Rafael Gonz�lez-Val & Arturo Ramos & Fernando Sanz-Gracia, 2013.
"The accuracy of graphs to describe size distributions,"
Applied Economics Letters, Taylor & Francis Journals, vol. 20(17), pages 1580-1585, November.
- González-Val, Rafael & Ramos, Arturo & Sanz-Gracia, Fernando, 2013. "The accuracy of graphs to describe size distributions," MPRA Paper 48577, University Library of Munich, Germany.
- B. D. McCullough & H. D. Vinod, 2003. "Verifying the Solution from a Nonlinear Solver: A Case Study," American Economic Review, American Economic Association, vol. 93(3), pages 873-892, June.
- Gaffeo, Edoardo, 2011. "The distribution of sectoral TFP growth rates: International evidence," Economics Letters, Elsevier, vol. 113(3), pages 252-255.
- Edward L. Glaeser & Charles Redlick, 2009. "Social Capital and Urban Growth," International Regional Science Review, , vol. 32(3), pages 264-299, July.
- Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
- Christian Schluter & Mark Trede, 2013. "Gibrat, Zipf, Fisher and Tippett: City Size and Growth Distributions Reconsidered," CQE Working Papers 2713, Center for Quantitative Economics (CQE), University of Muenster.
- Edward L Glaeser & Jesse M Shapiro, 2003. "Urban Growth in the 1990s: Is City Living Back?," Journal of Regional Science, Wiley Blackwell, vol. 43(1), pages 139-165, February.
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More about this item
Keywords
urban log-growth rates distribution; exponential distribution; normal distribution; European population log-growth rates;All these keywords.
JEL classification:
- C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
- R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
- R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
NEP fields
This paper has been announced in the following NEP Reports:- NEP-GRO-2015-11-01 (Economic Growth)
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