IDEAS home Printed from https://ideas.repec.org/a/bla/ausecr/v51y2018i4p578-602.html
   My bibliography  Save this article

Ratios of Parameters: Some Econometric Examples

Author

Abstract

Ratios of parameter estimates are often used in econometric applications. However, constructing confidence intervals (CIs) for these ratios can cause difficulties since the ratio of asymptotically normally distributed random variables are Cauchy distributed and thus have no finite moments. This article presents a method for the estimation of CIs based on the Fieller approach that has been shown to be preferable to the usual Delta method. Using example applications in Stata and R, we demonstrate that a few extra steps in the examination of the estimate of the ratio can provide a CI with superior coverage.

Suggested Citation

  • Jenny Lye & Joe Hirschberg, 2018. "Ratios of Parameters: Some Econometric Examples," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 51(4), pages 578-602, December.
    • Handle: RePEc:bla:ausecr:v:51:y:2018:i:4:p:578-602
    DOI: 10.1111/1467-8462.12300
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/1467-8462.12300
    Download Restriction: no
    File URL: https://libkey.io/10.1111/1467-8462.12300?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    2. William T. Harbaugh & Arik Levinson & David Molloy Wilson, 2002. "Reexamining The Empirical Evidence For An Environmental Kuznets Curve," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 541-551, August.
    3. Gruen, David & Pagan, Adrian & Thompson, Christopher, 1999. "The Phillips curve in Australia," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 223-258, October.
    4. A. W. Phillips, 1958. "The Relation Between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861–1957," Economica, London School of Economics and Political Science, vol. 25(100), pages 283-299, November.
    5. Hirschberg, Joe & Lye, Jenny, 2017. "Inverting the indirect—The ellipse and the boomerang: Visualizing the confidence intervals of the structural coefficient from two-stage least squares," Journal of Econometrics, Elsevier, vol. 199(2), pages 173-183.
    6. Olivier Coibion & Yuriy Gorodnichenko, 2011. "Monetary Policy, Trend Inflation, and the Great Moderation: An Alternative Interpretation," American Economic Review, American Economic Association, vol. 101(1), pages 341-370, February.
    7. Jean-Thomas Bernard & Nadhem Idoudi & Lynda Khalaf & Clément Yélou, 2007. "Finite sample inference methods for dynamic energy demand models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1211-1226.
    8. Arne Risa Hole, 2007. "A comparison of approaches to estimating confidence intervals for willingness to pay measures," Health Economics, John Wiley & Sons, Ltd., vol. 16(8), pages 827-840, August.
    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. Michael A. Clemens, 2017. "The Meaning Of Failed Replications: A Review And Proposal," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 326-342, February.
    2. Muto Ichiro & Shintani Kohei, 2020. "An empirical study on the New Keynesian wage Phillips curve: Japan and the US," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(1), pages 1-17, January.
    3. Roberto Bonfatti & Björn Brey, 2024. "Trade Disruption, Industrialisation, and the Setting Sun of British Colonial Rule in India," Journal of the European Economic Association, European Economic Association, vol. 22(3), pages 1407-1451.
    4. Gerlach, Stefan & Lydon, Reamonn & Stuart, Rebecca, 2015. "Unemployment and inflation in Ireland: 1926-2012," CFS Working Paper Series 514, Center for Financial Studies (CFS).
    5. Natalia Zugravu-Soilita, 2019. "Trade in Environmental Goods and Air Pollution: A Mediation Analysis to Estimate Total, Direct and Indirect Effects," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 74(3), pages 1125-1162, November.
    6. Iritie, Jean-Jacques, 2015. "Economic Growth, Biodiversity and Conservation Policies in Africa: an Overview," MPRA Paper 62005, University Library of Munich, Germany.
    7. Olivier Coibion & Daniel Goldstein, 2012. "One for Some or One for All? Taylor Rules and Interregional Heterogeneity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44, pages 401-431, March.
    8. Hirschberg, J.G. & Lye, J.N., 2010. "Two geometric representations of confidence intervals for ratios of linear combinations of regression parameters: An application to the NAIRU," Economics Letters, Elsevier, vol. 108(1), pages 73-76, July.
    9. Natalia Zugravu-Soilita, 2018. "The impact of trade in environmental goods on pollution: what are we learning from the transition economies’ experience?," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 20(4), pages 785-827, October.
    10. G.C. Lim & Robert Dixon & Sarantis Tsiaplias, 2009. "Phillips Curve and the Equilibrium Unemployment Rate," The Economic Record, The Economic Society of Australia, vol. 85(271), pages 371-382, December.
    11. David Norman & Anthony Richards, 2010. "Modelling Inflation in Australia," RBA Research Discussion Papers rdp2010-03, Reserve Bank of Australia.
    12. Mallick, Debdulal, 2019. "Policy regimes and the shape of the Phillips curve in Australia," Journal of Policy Modeling, Elsevier, vol. 41(6), pages 1077-1094.
    13. Zhang, Qi & Yu, Zhi & Kong, Dongmin, 2019. "The real effect of legal institutions: Environmental courts and firm environmental protection expenditure," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    14. Gruen, David & Pagan, Adrian & Thompson, Christopher, 1999. "The Phillips curve in Australia," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 223-258, October.
    15. Gatta, Valerio & Marcucci, Edoardo & Scaccia, Luisa, 2015. "On finite sample performance of confidence intervals methods for willingness to pay measures," Transportation Research Part A: Policy and Practice, Elsevier, vol. 82(C), pages 169-192.
    16. Natalia Zugravu-Soilita, 2017. "Trade in Environmental Goods: Empirical Exploration of Direct and Indirect Effects on Pollution by Country’s Trade Status," Working Papers 2017.56, Fondazione Eni Enrico Mattei.
    17. Chew Lian Chua & G. C. Lim & Sarantis Tsiaplias, 2012. "A latent variable approach to forecasting the unemployment rate," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 31(3), pages 229-244, April.
    18. Juan Urquiza & Christian J. Murray, 2017. "Do Estimated Taylor Rules Suffer from Weak Identification?," Documentos de Trabajo 494, Instituto de Economia. Pontificia Universidad Católica de Chile..
    19. Jean-Thomas Bernard & Michael Gavin & Lynda Khalaf & Marcel Voia, 2015. "Environmental Kuznets Curve: Tipping Points, Uncertainty and Weak Identification," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 60(2), pages 285-315, February.
    20. Mohammed Saiful Islam & Riduanul Mustafa, 2017. "Quest for a Valid Phillips Curve in the Long Run: An Empirical Approach," International Business Research, Canadian Center of Science and Education, vol. 10(4), pages 191-198, April.

    More about this item

    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:bla:ausecr:v:51:y:2018:i:4:p:578-602. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/mimelau.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.