Abstract
We have considered the statistical distributions of the volumes of 1131 products exported by 148 countries. We have found that the form of these distributions is not unique but heavily depends on the level of development of the nation, as expressed by macroeconomic indicators like GDP, GDP per capita, total export and a recently introduced measure for countries’ economic complexity called fitness. We have identified three major classes: a) an incomplete log-normal shape, truncated on the left side, for the less developed countries, b) a complete log-normal, with a wider range of volumes, for nations characterized by intermediate economy, and c) a strongly asymmetric shape for countries with a high degree of development. Finally, the log-normality hypothesis has been checked for the distributions of all the 148 countries through different tests, Kolmogorov-Smirnov and Cramér-Von Mises, confirming that it cannot be rejected only for the countries of intermediate economy.
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References
B. Balassa, The Manchester School 33, 99 (1965)
M. Bee, M. Riccaboni, S. Schiavo, Phys. Rev. E 84, 026104 (2011)
S.T. Bramwell, T. Fennell, P.C.W. Holdsworth, B. Portelli, EPL 57, 310 (2002)
G. Caldarelli, M. Cristelli, A. Gabrielli, L. Pietronero, A. Scala, A. Tacchella, PLoS ONE 7, e47278 (2012)
M. Cristelli, A. Gabrielli, A. Tacchella, G. Caldarelli, L. Pietronero, PLoS ONE 10, e70726 (2013)
M. Cristelli, A. Tacchella, A. Zaccaria, L. Pietronero, Growth scenarios for sub-saharan countries in the framework of economic complexity (2014) https://mpra.ub.uni-muenchen.de/71594
M. Cristelli, A. Tacchella, L. Pietronero, PLoS ONE 10, e0117174 (2015)
D.A. Darling, The Annals of Mathematical Statistics 28, 823 (1957)
W. Easterly, A. Reshef, J. Schwenkenberg, The World Bank Policy Research Working Paper, 5081 (2009)
G. Fagiolo, J. Econ. Interact. and Coordi. 5, 1 (2010)
G. Gaulier, S. Zignago, Centre d’Etudes Prospectives et d’Informations Internationales (2010), http://www.cepii.fr/anglaisgraph/workpap/pdf/2010/wp2010-23.pdf
E. Helpman, M.J. Melitz, S.R. Yeaple, Export versus fdi. Technical report, National Bureau of Economic Research (2003)
C. Hidalgo, R. Hausmann, Proc. Natl. Acad. Sci. 106, 10570 (2009)
I.M. Jánosi, J.A.C. Gallas, Physica A 271, 448 (1999)
M.J. Melitz, Econometrica 71, 1695 (2003)
OriginLab, http://www.originlab.com/doc/Origin-Help/NLFit-Algorithm#How_Origin_Fits_the_Curve
Package nortest − > https://cran.r-project.org/web/packages/nortest/index.html plnorm − > https://stat.ethz.ch/R-manual/R-devel/library/stats/html/Lognormal.html pnorm − > https://stat.ethz.ch/R-manual/R-devel/library/stats/html/ Normal.html
A. Petri, A. Baldassarri, F. Dalton, G. Pontuale, L. Pietronero, S. Zapperi, Eur. Phys. J. B 64, 531 (2008)
E. Pugliese, A. Zaccaria, L. Pietronero, On the convergence of the fitness-complexity algorithm [arXiv:1410.0249] (2014)
E. Pugliese, G.L. Chiarotti, A. Zaccaria, L. Pietronero, Complex economies have a lateral escape from the poverty trap [arXiv:1511.08622] (2015)
W.J. Reed, M. Jorgensen, Communications in statistics: Theory and Methods 33, 1733 (2004)
W. Shockley, Proceedings of the IRE 45, 180 (1957)
T. Squartini, G. Fagiolo, D. Garlaschelli, Phys. Rev. E 84, 046118 (2011)
A. Tacchella, M. Cristelli, G. Caldarelli, A. Gabrielli, L. Pietronero, Sci. Rep. 2, 723 (2012)
A. Zaccaria, M. Cristelli, A. Tacchella, L. Pietronero, PLoS ONE 9, e113770 (2014)
A. Zaccaria, M. Cristelli, R. Kupers, A. Tacchella, L. Pietronero, J. Econ. Interact. Coordi. 11, 151 (2016)
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Annunziata, M., Petri, A., Pontuale, G. et al. How log-normal is your country? An analysis of the statistical distribution of the exported volumes of products. Eur. Phys. J. Spec. Top. 225, 1985–1995 (2016). https://doi.org/10.1140/epjst/e2015-50320-7
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DOI: https://doi.org/10.1140/epjst/e2015-50320-7