IDEAS home Printed from https://ideas.repec.org/p/hst/ghsdps/gd12-246.html
   My bibliography  Save this paper

Nonparametric Identification and Estimation of the Number of Components in Multivariate Mixtures

Author

Listed:
  • Kazuko Kano
  • Takashi Kano
  • Kazutaka Takechi

Abstract

This study investigates the effect of distance on price differentials across regions. To identify the distance effect, we need to incorporate producer heterogeneity and pricing-to-market behavior. Because geographic barriers alter the threshold levels of productivity to set a positive price across markets, the effect of distance on price differentials can be underestimated if heterogeneity and pricing to market are not accounted for. By incorporating these factors, empirical analysis using micro-level data reveals that the distance effect is significantly large, suggesting that the price of geographic barriers is still high for regional transportation.

Suggested Citation

  • Kazuko Kano & Takashi Kano & Kazutaka Takechi, 2012. "Nonparametric Identification and Estimation of the Number of Components in Multivariate Mixtures," Global COE Hi-Stat Discussion Paper Series gd12-246, Institute of Economic Research, Hitotsubashi University.
  • Handle: RePEc:hst:ghsdps:gd12-246
    as

    Download full text from publisher

    File URL: http://gcoe.ier.hit-u.ac.jp/research/discussion/2008/pdf/gd12-246.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andrew Atkeson & Ariel Burstein, 2008. "Pricing-to-Market, Trade Costs, and International Relative Prices," American Economic Review, American Economic Association, vol. 98(5), pages 1998-2031, December.
    2. Andrew B. Bernard & Jonathan Eaton & J. Bradford Jensen & Samuel Kortum, 2003. "Plants and Productivity in International Trade," American Economic Review, American Economic Association, vol. 93(4), pages 1268-1290, September.
    3. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 691-751, September.
    4. Balistreri, Edward J. & Hillberry, Russell H. & Rutherford, Thomas F., 2011. "Structural estimation and solution of international trade models with heterogeneous firms," Journal of International Economics, Elsevier, vol. 83(2), pages 95-108, March.
    5. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    6. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    7. Fabio Ghironi & Marc J. Melitz, 2005. "International Trade and Macroeconomic Dynamics with Heterogeneous Firms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 865-915.
    8. Marc J. Melitz & Giancarlo I. P. Ottaviano, 2021. "Market Size, Trade, and Productivity," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 4, pages 87-108, World Scientific Publishing Co. Pte. Ltd..
    9. MarioJ. Crucini & Mototsugu Shintani & Takayuki Tsuruga, 2010. "The Law of One Price without the Border: The Role of Distance versus Sticky Prices," Economic Journal, Royal Economic Society, vol. 120(544), pages 462-480, May.
    10. Pierre-Philippe Combes & Miren Lafourcade, 2005. "Transport costs: measures, determinants, and regional policy implications for France," Journal of Economic Geography, Oxford University Press, vol. 5(3), pages 319-349, June.
    11. Matthieu Crozet & Pamina Koenig, 2010. "Structural gravity equations with intensive and extensive margins," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(1), pages 41-62, February.
    12. Ina Simonovska, 2015. "Income Differences and Prices of Tradables: Insights from an Online Retailer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1612-1656.
    13. David C. Parsley & Shang-Jin Wei, 1996. "Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(4), pages 1211-1236.
    14. David Hummels & Alexandre Skiba, 2004. "Shipping the Good Apples Out? An Empirical Confirmation of the Alchian-Allen Conjecture," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1384-1402, December.
    15. Paul R. Bergin & Reuven Glick & Alan M. Taylor, 2017. "Productivity, Tradability, and the Long-Run Price Puzzle," World Scientific Book Chapters, in: International Macroeconomic Interdependence, chapter 8, pages 211-248, World Scientific Publishing Co. Pte. Ltd..
    16. David Hummels, 2007. "Transportation Costs and International Trade in the Second Era of Globalization," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 131-154, Summer.
    17. Donaldson, Dave, 2010. "Railroads of the Raj: estimating the impact of transportation infrastructure," LSE Research Online Documents on Economics 38368, London School of Economics and Political Science, LSE Library.
    18. Dave Donaldson, 2010. "Railroads of the Raj: Estimating the Impact of Transportation Infrastructure," NBER Working Papers 16487, National Bureau of Economic Research, Inc.
    19. Kano, Kazuko & Kano, Takashi & Takechi, Kazutaka, 2013. "Exaggerated death of distance: Revisiting distance effects on regional price dispersions," Journal of International Economics, Elsevier, vol. 90(2), pages 403-413.
    20. Ina Simonovska, 2009. "Income Differences and Prices of Tradables," 2009 Meeting Papers 692, Society for Economic Dynamics.
    21. Costas Arkolakis & Arnaud Costinot & Andres Rodriguez-Clare, 2012. "New Trade Models, Same Old Gains?," American Economic Review, American Economic Association, vol. 102(1), pages 94-130, February.
    22. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kano, Kazuko & 加納, 和子 & Kano, Takashi & 加納, 隆 & Takechi, Kazutaka & 武智, 一貴, 2013. "The Price of Distance: Producer Heterogeneity, Pricing to Market, and Geographic Barriers," Discussion Papers 2013-03, Graduate School of Economics, Hitotsubashi University.
    2. KANO Kazuko & KANO Takashi & TAKECHI Kazutaka, 2015. "The Price of Distance: Pricing to market, producer heterogeneity, and geographic barriers," Discussion papers 15017, Research Institute of Economy, Trade and Industry (RIETI).
    3. Kano, Kazuko & Kano, Takashi & Takechi, Kazutaka, 2013. "Exaggerated death of distance: Revisiting distance effects on regional price dispersions," Journal of International Economics, Elsevier, vol. 90(2), pages 403-413.
    4. Costinot, Arnaud & Rodríguez-Clare, Andrés, 2014. "Trade Theory with Numbers: Quantifying the Consequences of Globalization," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 197-261, Elsevier.
    5. Kristian Behrens & Giordano Mion & Yasusada Murata & Jens Südekum, 2014. "Trade, Wages, And Productivity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(4), pages 1305-1348, November.
    6. Melitz, Marc J. & Redding, Stephen J., 2014. "Heterogeneous Firms and Trade," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 1-54, Elsevier.
    7. Trevor Tombe, 2012. "The Missing Food Problem," Working Papers tt0060, Wilfrid Laurier University, Department of Economics, revised 2012.
    8. Simonovska, Ina & Waugh, Michael E., 2014. "The elasticity of trade: Estimates and evidence," Journal of International Economics, Elsevier, vol. 92(1), pages 34-50.
    9. Benjamin Bridgman, 2013. "Market entry and trade weighted import costs," Canadian Journal of Economics, Canadian Economics Association, vol. 46(3), pages 982-1013, August.
    10. Feenstra, Robert C., 2018. "Restoring the product variety and pro-competitive gains from trade with heterogeneous firms and bounded productivity," Journal of International Economics, Elsevier, vol. 110(C), pages 16-27.
    11. Choi, Chi-Young & Choi, Horag, 2016. "The role of two frictions in geographic price dispersion: When market friction meets nominal rigidity," Journal of International Money and Finance, Elsevier, vol. 63(C), pages 1-27.
    12. Hillberry, Russell & Hummels, David, 2013. "Trade Elasticity Parameters for a Computable General Equilibrium Model," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1213-1269, Elsevier.
    13. Giri, Rahul, 2012. "Local costs of distribution, international trade costs and micro evidence on the law of one price," Journal of International Economics, Elsevier, vol. 86(1), pages 82-100.
    14. Redding, Stephen J., 2016. "Goods trade, factor mobility and welfare," Journal of International Economics, Elsevier, vol. 101(C), pages 148-167.
    15. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    16. Finicelli, Andrea & Pagano, Patrizio & Sbracia, Massimo, 2013. "Ricardian selection," Journal of International Economics, Elsevier, vol. 89(1), pages 96-109.
    17. Crucini, Mario J. & Shintani, Mototsugu & Tsuruga, Takayuki, 2015. "Noisy information, distance and law of one price dynamics across US cities," Journal of Monetary Economics, Elsevier, vol. 74(C), pages 52-66.
    18. A. Auer, Raphael & Chaney, Thomas & Sauré, Philip, 2018. "Quality pricing-to-market," Journal of International Economics, Elsevier, vol. 110(C), pages 87-102.
    19. Costas Arkolakis & Arnaud Costinot & Dave Donaldson & Andrés Rodríguez-Clare, 2019. "The Elusive Pro-Competitive Effects of Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 46-80.
    20. Sposi, Michael, 2015. "Trade barriers and the relative price of tradables," Journal of International Economics, Elsevier, vol. 96(2), pages 398-411.

    More about this item

    Keywords

    law of one price; transportation costs; geographic barriers; producer heterogeneity; pricing to market;
    All these keywords.

    JEL classification:

    • F11 - International Economics - - Trade - - - Neoclassical Models of Trade
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hst:ghsdps:gd12-246. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tatsuji Makino (email available below). General contact details of provider: https://edirc.repec.org/data/iehitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.