OLS ESTIMATION AND THE "t" TEST REVISITED IN RANK-SIZE RULE REGRESSION
AbstractThe rank-size rule and Zipf's law for city sizes have been traditionally examined by means of OLS estimation and the "t" test. This paper studies the accurate and approximate properties of the OLS estimator and obtains the distribution of the "t" statistic under the assumption of Zipf's law (i.e., Pareto distribution). Indeed, we show that the "t" statistic explodes asymptotically even under the null, indicating that a mechanical application of the "t" test yields a serious type I error. To overcome this problem, critical regions of the "t" test are constructed to test the Zipf's law. Using these corrected critical regions, we can conclude that our results are in favor of the Zipf's law for many more countries than in the previous researches such as Rosen and Resnick (1980) or Soo (2005). By using the same database as that used in Soo (2005), we demonstrate that the Zipf law is rejected for only one of 24 countries under our test whereas it is rejected for 23 of 24 countries under the usual "t" test. We also propose a more efficient estimation procedure and provide empirical applications of the theory for some countries. Copyright (c) 2008, Wiley Periodicals, Inc.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Wiley Blackwell in its journal Journal of Regional Science.
Volume (Year): 48 (2008)
Issue (Month): 4 ()
Contact details of provider:
Web page: http://www.blackwellpublishing.com/journal.asp?ref=0022-4146
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Tomoya Mori & Tony E. Smith, 2009. "A Reconsideration of the NAS Rule from an Industrial Agglomeration Perspective," KIER Working Papers 669, Kyoto University, Institute of Economic Research.
- Rafael González-Val, 2012.
"A nonparametric estimation of the local Zipf exponent for all US cities,"
Environment and Planning B: Planning and Design,
Pion Ltd, London, vol. 39(6), pages 1119-1130, November.
- González-Val, Rafael, 2010. "A Nonparametric Estimation of the Local Zipf Exponent for all US Cities," MPRA Paper 26720, University Library of Munich, Germany.
- L. Benguigui & E. Blumenfeld-Lieberthal, 2011. "The end of a paradigm: is Zipf’s law universal?," Journal of Geographical Systems, Springer, vol. 13(1), pages 87-100, March.
- Harry P. Bowen & Haris Munandar & Jean-Marie Viaene, 2010. "On the Extent of Economic Integration: A Comparison of EU Countries and US States," Tinbergen Institute Discussion Papers 10-009/2, Tinbergen Institute, revised 04 Jul 2011.
- Wen-Tai Hsu & Tomoya Mori & Tony E. Smith, 2014. "Spatial Patterns and Size Distributions of Cities," KIER Working Papers 882, Kyoto University, Institute of Economic Research.
- Rafael GONZÀLEZ-VAL, 2012. "Zipf’S Law: Main Issues In Empirical Work," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 147-164.
- Sueli Moro & Reginaldo J. Santos, 2013. "The characteristics and evolution of the Brazilian spatial urban system: empirical evidences for the long-run, 1970-2010," Textos para DiscussÃ£o Cedeplar-UFMG 474, Cedeplar, Universidade Federal de Minas Gerais.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wiley-Blackwell Digital Licensing) or (Christopher F. Baum).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.