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Do firms share the same functional form of their growth rate distribution? A statistical test

José T. Lunardi, Salvatore Miccichè, Fabrizio Lillo, Rosario Mantegna and Mauro Gallegati

Journal of Economic Dynamics and Control, 2014, vol. 39, issue C, 140-164

Abstract: We propose a hypothesis testing procedure to investigate whether the same growth rate distribution is shared by all the firms in a balanced panel or, more generally, whether they share the same functional form for this distribution, without necessarily sharing the same parameters. We apply the test to panels of US and European Union publicly quoted manufacturing firms, both at the sectoral and at the subsectoral NAICS level. We consider the following null hypotheses about the growth rate distribution of the individual firms: (i) an unknown shape common to all firms, with all the firms sharing also the same parameters, or with the firm variance related to its firm size through a scaling relationship, and (ii) several functional shapes described by the Subbotin family of distributions. Our empirical results indicate that firms do not have a common shape of the growth rate distribution at the sectorial NAICS level, whereas firms may typically be described by the same shape of the distribution at the subsectorial level, even if the specific shape may not be the same for different subsectors.

Keywords: Growth rate distribution of individual firm; Heterogeneous firms; EDF tests (search for similar items in EconPapers)
JEL-codes: C12 C15 D22 (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:dyncon:v:39:y:2014:i:c:p:140-164

DOI: 10.1016/j.jedc.2013.11.010

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Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

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