The paper builds on the results of Clark and Stabler who associated Gibrat's law on the independence of growth rate and city size with unit root tests. The paper proposes a direct test of the unit root hypothesis for firm size based on recently developed panel data unit root tests. The results for a sample of Brazilian cities over the period 1980-2000 favour Gibrat's law. Moreover, the results are robust when one considers sub-samples defined for different population sizes and age of municipality.
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References
1.
Banerjee, A. (1999) Panel data unit roots and cointegration: an overview , Oxford Bulletin of Economics and Statistics, Special Issue , pp. 607-629.
2.
Bernard, A. and Jones, C. (1996) Productivity growth across industries and countries , Review of Economics and Statistics, 78, pp. 135-146.
3.
Bradley, R. and Gans, J.S. (1998) Growth in Australian cities, Economic Record, 74, pp. 266-278.
4.
Bremaeker, F.E.J. (1998) Os municipios frente à nova proposta de reforma tributária. Serie Estudos Especiais No. 17, Instituto Brasileiro de Administração Municipal.
5.
Bremaeker, F.E.J. (2000) Evolução da finanças municipais no periodo 1989/1998. Serie Estudos Especiais No. 18, Instituto Brasileiro de Administração Municipal.
6.
Bremaeker, F.E.J. (2001) Despesas municipais com as funções de competência da uniao e dos estados. Serie Estudos Especiais No. 21, Instituto Brasileiro de Administração Municipal.
7.
Bremaeker, F.E.J. (2003) The tax revenue of the Brazilian municipalities in 2001. Serie Estudos Especiais No. 50, Instituto Brasileiro de Administração Municipal.
8.
Byers, J.D. and Peel, D.A. (1994) Linear and non-linear models of economic time-series: an introduction with applications to industrial economics, in: J. Cable (Ed.) Current Issues in Industrial Economics, pp. 227-259. London: MacMillan.
9.
Cameron, G.C. (1970) Growth areas, growth centres and regional conversion , Scottish Journal of Political Economy, 17, pp. 19-38.
10.
Charnes, A., Cooper, W.W., Lewin, A. and Sei-Ford, L.M. (1994) Data Envelopment Analysis. Boston, MA: Kluwer Academic Publishers.
11.
Clark, J.S. and Stabler, J.C. (1991) Gibrat's law and the growth of Canadian cities, UrbanStudies, 28, pp. 635-639.
12.
Eaton, J. and Eckstein, Z. (1997) Cities and growth: theory and evidence from France and Japan, Regional Science and Urban Economics, 27, pp. 443-474.
13.
Evans, D.S. (1987) The relationship between firm growth, size and age: estimates for 100 manufacturing industries, Journal of Industrial Economics, 35, pp. 567-581.
14.
Gibrat, R. (1931) Les InegaLites Economiques. Paris: Librairie du Recueil Sirey.
15.
Guérin-Pace, F. (1995) Rank-size distribution and the process of urban growth, UrbanStudies, 32, pp. 551-562.
16.
Hall, B. (1987) The relationship between firm size and firm growth in the U.S. manufacturing sector, Journal of Industrial Economics , 35, pp. 583-606.
17.
Hart, P.E. and Prais, S.J. (1956) An analysis of business concentration, Journal of the Royal Statistical Society, A119, pp. 150-181.
18.
Hay, D.A. and Morris, D.J. (1991) Industrial Economics and Organization: Theory and Evidence. Oxford: Oxford University Press.
19.
Hirsch, W.Z. (1973) Urban Economic Analysis. New York: McGraw-Hill.
20.
Holmes, M.J. (2002) Convergence in international output: evidence from panel data unit root tests, Journal of Economic Integration , 17, pp. 826-838.
21.
Ijiri, Y. and Sinion, H.A. (1964) Business firm growth and size, American Economic Review, 54, pp. 77-89.
22.
Ijiri, Y. and Simon, H.A. (1967) A model of business firm growth, Econometrica, 35, pp. 348-355.
23.
Ijiri, Y. and Simon, H.A. (1974) Interpretations of departures from the Pareto curve firm-size distributions, Journal of Political Economy, 82, pp. 315-331.
24.
Im, K.S., Pesaran, M.H. and Shin, Y. (2003) Testing for unit roots in heterogeneous panels , Journal of Econometrics, 115, pp. 53-74.
25.
Kalecki, M. (1945) On the Gibrat distribution, Econometrica , 13, pp. 161-170.
26.
Koo, J. and Lee, S. ( 2000) Regional income convergence: evidence from panel data unit root tests, Seoul Journal of Economics, 13, pp. 459-469.
27.
Lever, W.F. (1973) A Markov approach to the optimum size of cities in England and Wales, UrbanStudies, 10, pp. 353-366.
28.
Levin, A. and Lin, C. (1992) Unit root tests in panel data: asymptotic and finite-sample properties. Working Paper 92-23, University of California , San Diego, CA.
29.
Levin, A. and Lin, C. (1993) Unit root tests in panel data: new results. Working Paper 93-56, University of California, San Diego, CA.
30.
Maddala, G.S. and Wu, S. (1999) A comparative study of unit root tests with panel data and a new simple test, Oxford Bulletin of Economics and Statistics, Special Issue, pp. 631-652.
31.
Mansfield, E. (1962) Entry, Gibrat's law, innovation, and the growth of firms, American Economic Review, 52, pp. 1023-1051
32.
Mansfield, E. (1987) Gibrat's law, in: J. Eatwell, M. Milgate and P. Newman (Eds) The New Palgrave: A Dictionary ofEconomics, p. 521. London: MacMillan.
33.
Mello, D.L. (2001) Governo e administração municipal: a experiencia brasileira, Revista de Administração Pública, 35, pp. 79-96.
34.
Nelson, C.R. and Plosser, C.I. (1982) Trends and random walks in macroeconomic time series: some evidence and implications, Journal of Monetary Economics , 10, pp. 139-162.
35.
Papell, D.H. (1997) Searching for stationarity: purchasing power parity under the current float, Journal of International Economics , 43, pp.313-332.
36.
Resende, M. (2000) Profits persistence in Brazil: a panel data study. Texto para Discussao No. 446, Instituto de Economia, Universidade Federal doRio de Janeiro.
37.
Resende, M. (2003) Fiscal federalism in Brazil: an empirical investigation, Economia Aplicada/ Brazilian Journal of Applied Economics , 7, pp. 63-82.
38.
Saboia, J.L.M. (1977) Uma generalização da "lei de Gibrat" para o crescimento da firma, Pesquisa e Planejamento Economico, 7, pp.451-458.
39.
Simon, H.A. (1955) On a class of skew distribution functions, Biometrika, 42, pp. 425-440.
40.
Simon, H.A. and Bonini, C.P. (1958) The size distribution of business firms, American Economic Review, 48, pp. 607-617.
41.
Steindl, J. (1965) Random Processes and the Growth of Firms: A Study of the Pareto Law. London: Griffin .
42.
Sutton, J. (1997) Gibrat's legacy, Journal of Economic Literature, 35, pp. 40-59.
43.
Vining, D.R. (1976) Autocorrelated growth rates and the Pareto law: a further analysis, Journal of Political Economy, 84, pp. 369-380.
