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Constructing Confidence Intervals Using the Bootstrap: An Application to a Multi-Product Cost Function

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  • Eakin, B Kelly
  • McMillen, Daniel P
  • Buono, Mark J

Abstract

A multi-product cost function system is estimated for 387 banks in states that allow branch banking. The bootstrap resampling method is used to construct confidence intervals for marginal costs, output-cost elasticities, economies of scale and scope, and Allen elasticities of substitution. Confidence intervals for these measures are usually constructed using a first-order variance approximation under a normality assumption, but such confidence intervals are inexact if the measures are not normally distributed or the variance approximations are imprecise. We find that the bootstrap standard error estimates can differ significantly from the usual estimates. Furthermore, we use the bootstrap to expand the analysis of cost function regularity properties. Copyright 1990 by MIT Press.

Suggested Citation

  • Eakin, B Kelly & McMillen, Daniel P & Buono, Mark J, 1990. "Constructing Confidence Intervals Using the Bootstrap: An Application to a Multi-Product Cost Function," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 339-344, May.
  • Handle: RePEc:tpr:restat:v:72:y:1990:i:2:p:339-44
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    Cited by:

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    2. Marc-Andreas Muendler & Sascha O. Becker, 2010. "Margins of Multinational Labor Substitution," American Economic Review, American Economic Association, vol. 100(5), pages 1999-2030, December.
    3. Dufour, Jean-Marie & Khalaf, Lynda, 2002. "Simulation based finite and large sample tests in multivariate regressions," Journal of Econometrics, Elsevier, vol. 111(2), pages 303-322, December.
    4. Kristensen, Troels & Olsen, Kim Rose & Kilsmark, Jannie & Lauridsen, Jørgen T. & Pedersen, Kjeld Møller, 2012. "Economies of scale and scope in the Danish hospital sector prior to radical restructuring plans," Health Policy, Elsevier, vol. 106(2), pages 120-126.
    5. Yazid Dissou & Reza Ghazal, 2010. "Energy Substitutability in Canadian Manufacturing Econometric Estimation with Bootstrap Confidence Intervals," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 121-148.
    6. Truett, Lila J. & Truett, Dale B., 2007. "A cost-based analysis of scale economies in the French auto industry," International Review of Economics & Finance, Elsevier, vol. 16(3), pages 369-382.
    7. Lila J. Truett & Dale B. Truett, 2005. "European Integration and Production in the French Economy," Contemporary Economic Policy, Western Economic Association International, vol. 23(2), pages 304-316, April.
    8. Santiago Carbó Valverde & Francisco Rodríguez Fernández, 2005. "Operaciones fuera de balance y economías de escala en el sector bancario español," Investigaciones Economicas, Fundación SEPI, vol. 29(2), pages 389-430, May.
    9. Truett, Lila J. & Truett, Dale B., 2003. "A cost function analysis of import demand and growth in South Africa," Journal of Development Economics, Elsevier, vol. 70(2), pages 425-442, April.
    10. Vicente Ruiz, 2016. "Groundwater Overdraft, Electricity, and Wrong Incentives: Evidence from Mexico," Working Papers 2016.05, FAERE - French Association of Environmental and Resource Economists.
    11. Featherstone, Allen M. & Kastens, Terry L., 2000. "Non-Parametric and Semi-Parametric Techniques for Modeling and Simulating Correlated, Non-Normal Price and Yield Distributions: Applications to Risk Analysis in Kansas Agriculture," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 32(02), pages 267-281, August.
    12. Nguyen, Duong T.M. & McLaren, Keith Robert & Zhao, Xueyan, 2008. "Multi-Output Broadacre Agricultural Production: Estimating A Cost Function Using Quasi-Micro Farm Level Data From Australia," 2008 Conference (52nd), February 5-8, 2008, Canberra, Australia 6009, Australian Agricultural and Resource Economics Society.
    13. Zhang, Wei & Alston, Julian M., 2013. "Factor Substitution and Technical Change in the U.S. Dairy Processing and Manufacturing Industry," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 150707, Agricultural and Applied Economics Association.
    14. Lila J. Truett & Dale B. Truett, 2003. "The Italian Automotive Industry and Economies of Scale," Contemporary Economic Policy, Western Economic Association International, vol. 21(3), pages 329-337, July.
    15. Figlio, David N., 1999. "Functional form and the estimated effects of school resources," Economics of Education Review, Elsevier, vol. 18(2), pages 241-252, April.
    16. Lila J. Truett & Dale B. Truett, 2005. "Nafta¡¯S Impact On The Mexican Automotive Sector," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 30(2), pages 155-176, December.
    17. Lila J. Truett & Dale B. Truett, 2009. "Challenges For France In The Emerging International Environment: A Dynamic Analysis," Contemporary Economic Policy, Western Economic Association International, vol. 27(4), pages 566-573, October.
    18. Truett, Lila J. & Truett, Dale B., 2014. "The South Korean auto industry's path to maturity," International Review of Economics & Finance, Elsevier, vol. 31(C), pages 86-94.
    19. Lila J. Truett & Dale B. Truett, 2011. "The South Korean Auto Industry: All Grown Up Now? Since 1962, South Korea has recognized the motor vehicle industry as a critical industry for economic development. The government has been closely inv," Working Papers 0011, College of Business, University of Texas at San Antonio.
    20. Mennemeyer, Stephen T. & Cyr, Louis P., 1997. "A bootstrap approach to medical decision analysis," Journal of Health Economics, Elsevier, vol. 16(6), pages 741-747, December.
    21. Truett, Lila J. & Truett, Dale B., 2010. "Globalization challenges for the Mexican textile industry," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 733-741, October.
    22. repec:eee:jbfina:v:85:y:2017:i:c:p:1-14 is not listed on IDEAS
    23. Dietsch, Michel & Lozano-Vivas, Ana, 2000. "How the environment determines banking efficiency: A comparison between French and Spanish industries," Journal of Banking & Finance, Elsevier, vol. 24(6), pages 985-1004, June.
    24. Friesner, Daniel L., 2003. "An empirical examination of cost-adjusting in outpatient clinics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 31(6), pages 745-759.
    25. Lila J. Truett, 2010. "The Korean Textile Industry: Still Competitive, After All These Years?," Working Papers 0004, College of Business, University of Texas at San Antonio.

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