The Duration of Trade Revisited: Continuous-Time vs. Discrete-Time Hazards
The recent literature on the duration of trade has predominantly analyzed the determinants of trade flow durations using Cox proportional hazards models. The purpose of this paper is to show why it is inappropriate to analyze the duration of trade with continuous-time models such as the Cox model, and to propose alternative discrete-time models which are more suitable for estimation. Briefly, the Cox model has three major drawbacks when applied to large trade data sets. First, it faces problems in the presence of many tied duration times, leading to biased coefficient estimates and standard errors. Second, it is difficult to properly control for unobserved heterogeneity, which can result in spurious duration dependence and parameter bias. Third, the Cox model imposes the restrictive and empirically questionable assumption of proportional hazards. By contrast, with discrete-time models there is no problem handling ties; unobserved heterogeneity can be controlled for without difficulty; and the restrictive proportional hazards assumption can easily be bypassed. By replicating an influential study by Besedeš and Prusa from 2006, but employing discrete-time models as well as the original Cox model, we find empirical support for each of these arguments against the Cox model. Moreover, when comparing estimation results obtained from a Cox model and our preferred discrete-time specification, we find significant differences in both the predicted hazard rates and the estimated effects of explanatory variables on the hazard. In other words, the choice between models affects the conclusions that can be drawn.
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- Heckman, James & Singer, Burton, 1984. "A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data," Econometrica, Econometric Society, vol. 52(2), pages 271-320, March.
- Meyer, Bruce D, 1990.
"Unemployment Insurance and Unemployment Spells,"
Econometric Society, vol. 58(4), pages 757-782, July.
- Bruce D. Meyer, 1988. "Unemployment Insurance And Unemployment Spells," NBER Working Papers 2546, National Bureau of Economic Research, Inc.
- Sueyoshi, Glenn T, 1995. "A Class of Binary Response Models for Grouped Duration Data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(4), pages 411-431, Oct.-Dec..
- Besedes, Tibor & Prusa, Thomas J., 2006. "Product differentiation and duration of US import trade," Journal of International Economics, Elsevier, vol. 70(2), pages 339-358, December.
- Jenkins, Stephen P, 1995. "Easy Estimation Methods for Discrete-Time Duration Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 57(1), pages 129-138, February.
- Tibor Besedes & Thomas Prusa, 2006. "Ins, outs, and the duration of trade," Canadian Journal of Economics, Canadian Economics Association, vol. 39(1), pages 266-295, February.
- Van den Berg, Gerard J., 2001. "Duration models: specification, identification and multiple durations," Handbook of Econometrics,in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 55, pages 3381-3460 Elsevier.
- Van den Berg, Gerard J., 2000. "Duration Models: Specification, Identification, and Multiple Durations," MPRA Paper 9446, University Library of Munich, Germany.
- Baker, Michael & Melino, Angelo, 2000. "Duration dependence and nonparametric heterogeneity: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 96(2), pages 357-393, June.
- Michael Baker & Angelo Melino, 1999. "Duration Dependence and Nonparametric Heterogeneity: A Monte Carlo Study," Working Papers melino-99-01, University of Toronto, Department of Economics.
- Volker Nitsch, 2009. "Die another day: duration in German import trade," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(1), pages 133-154, April.
- Volker Nitsch, 2007. "Die Another Day: Duration in German Import Trade," CESifo Working Paper Series 2085, CESifo Group Munich.
- Nitsch, Volker, 2008. "Die another day: duration in German import trade," Discussion Papers 2008/17, Free University Berlin, School of Business & Economics.
- Volker Nitsch, 2007. "Die Another Day: Duration in German Import Trade," DEGIT Conference Papers c012_037, DEGIT, Dynamics, Economic Growth, and International Trade.
- Paul Brenton & Christian Saborowski & Erik von Uexkull, 2010. "What Explains the Low Survival Rate of Developing Country Export Flows?," World Bank Economic Review, World Bank Group, vol. 24(3), pages 474-499, December.
- Brenton, Paul & Saborowski, Christian & von Uexkull, Erik, 2009. "What explains the low survival rate of developing country export flows ?," Policy Research Working Paper Series 4951, The World Bank.
- Amemiya, Takeshi, 1981. "Qualitative Response Models: A Survey," Journal of Economic Literature, American Economic Association, vol. 19(4), pages 1483-1536, December.
- Jaap H. Abbring & Gerard J. Van Den Berg, 2007. "The unobserved heterogeneity distribution in duration analysis," Biometrika, Biometrika Trust, vol. 94(1), pages 87-99.
- Jaap H. Abbring & Gerard J. van den Berg, 2006. "The Unobserved Heterogeneity Distribution in Duration Analysis," Tinbergen Institute Discussion Papers 06-059/3, Tinbergen Institute.
- Abbring, Jaap H & van den Berg, Gerard J, 2007. "The Unobserved Heterogeneity Distribution in Duration Analysis," CEPR Discussion Papers 6219, C.E.P.R. Discussion Papers.
- Thomas A. Mroz & Yaraslau V. Zayats, 2008. "Arbitrarily Normalized Coefficients, Information Sets, and False Reports of "Biases" in Binary Outcome Models," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 406-413, August.
- Butler, J S & Moffitt, Robert, 1982. "A Computationally Efficient Quadrature Procedure for the One-Factor Multinomial Probit Model," Econometrica, Econometric Society, vol. 50(3), pages 761-764, May.
- Nicoletti, Cheti & Rondinelli, Concetta, 2010. "The (mis)specification of discrete duration models with unobserved heterogeneity: A Monte Carlo study," Journal of Econometrics, Elsevier, vol. 159(1), pages 1-13, November.
- Concetta Rondinelli & Cheti Nicoletti, 2009. "The (mis)specification of discrete duration models with unobserved heterogeneity: a Monte Carlo study," Temi di discussione (Economic working papers) 705, Bank of Italy, Economic Research and International Relations Area.
- Besedes, Tibor & Prusa, Thomas J., 2011. "The role of extensive and intensive margins and export growth," Journal of Development Economics, Elsevier, vol. 96(2), pages 371-379, November.
- Tibor Besedes & Thomas J. Prusa, 2007. "The Role of Extensive and Intensive Margins and Export Growth," NBER Working Papers 13628, National Bureau of Economic Research, Inc.
- Heckman, James J. & Singer, Burton, 1984. "Econometric duration analysis," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 63-132.
- Dolton, Peter J & van der Klaauw, Wilbert, 1995. "Leaving Teaching in the UK: A Duration Analysis," Economic Journal, Royal Economic Society, vol. 105(429), pages 431-444, March.
- Stephen W. Salant, 1977. "Search Theory and Duration Data: A Theory of Sorts," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 39-57.
- Stephen W. Salant, 1974. "Search theory and duration data: a theory of sorts," Special Studies Papers 42, Board of Governors of the Federal Reserve System (U.S.).
- Ana Cristina Molina & Marco Fugazza, 2009. "The determinants of trade survival," IHEID Working Papers 05-2009, Economics Section, The Graduate Institute of International Studies, revised Jun 2009.
- Hess, Wolfgang, 2009. "A Flexible Hazard Rate Model for Grouped Duration Data," Working Papers 2009:18, Lund University, Department of Economics.
- Richard Newfarmer & William Shaw & Peter Walkenhorst, 2009. "Breaking Into New Markets," World Bank Publications, The World Bank, number 2616, December.
- Lancaster, Tony, 1979. "Econometric Methods for the Duration of Unemployment," Econometrica, Econometric Society, vol. 47(4), pages 939-956, July.
- McCall, Brian P, 1994. "Testing the Proportional Hazards Assumption in the Presence of Unmeasured Heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 9(3), pages 321-334, July-Sept.
- Tibor Besedeš, 2008. "A Search Cost Perspective on Formation and Duration of Trade," Review of International Economics, Wiley Blackwell, vol. 16(5), pages 835-849, November. Full references (including those not matched with items on IDEAS)