IDEAS home Printed from https://ideas.repec.org/a/taf/emetrv/v18y1999i3p287-330.html
   My bibliography  Save this article

An introduction to hypergeometric functions for economists

Author

Listed:
  • Karim Abadir

Abstract

Hypergeometric functions are a generalization of exponential functions. They are explicit, computable functions that can also be manipulated analytically. The functions and series we use in quantitative economics are all special cases of them. In this paper, a unified approach to hypergeometric functions is given. As a result, some potentially useful general applications emerge in a number of areas such as in econometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide parsimonious explicit (and interpretable) solutions to a wide range of general problems.

Suggested Citation

  • Karim Abadir, 1999. "An introduction to hypergeometric functions for economists," Econometric Reviews, Taylor & Francis Journals, vol. 18(3), pages 287-330.
    • Handle: RePEc:taf:emetrv:v:18:y:1999:i:3:p:287-330
    DOI: 10.1080/07474939908800447
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/07474939908800447
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/07474939908800447?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
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Marco Antonio Bonomo & Rene Garcia, 1993. "Disappointment aversion as a solution to the equity premium and the risk-free rate puzzles," Textos para discussão 308, Department of Economics PUC-Rio (Brazil).
    3. Abadir, Karim M., 1993. "On the Asymptotic Power of Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 9(2), pages 189-221, April.
    4. Abadir, Karim M., 1995. "The Limiting Distribution of the t Ratio Under a Unit Root," Econometric Theory, Cambridge University Press, vol. 11(4), pages 775-793, August.
    5. Muellbauer, John, 1983. "Surprises in the Consumption Function," Economic Journal, Royal Economic Society, vol. 93(369a), pages 34-50, Supplemen.
    6. Sutherland, Alan, 1997. "Fiscal crises and aggregate demand: can high public debt reverse the effects of fiscal policy?," Journal of Public Economics, Elsevier, vol. 65(2), pages 147-162, August.
    7. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    8. Larry G. Epstein & Angelo Melino, 1995. "A Revealed Preference Analysis of Asset Pricing Under Recursive Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 597-618.
    9. Robinson, P M, 1988. "Semiparametric Econometrics: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(1), pages 35-51, January.
    10. Miller, Marcus & Weller, Paul, 1995. "Stochastic saddlepoint systems Stabilization policy and the stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 279-302.
    11. Enrique Sentana, 1995. "Quadratic ARCH Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 639-661.
    12. Sutherland, Alan, 1996. "Intrinsic bubbles and mean-reverting fundamentals," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 163-173, February.
    13. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Stochastic Process Switching: Some Simple Solutions," Econometrica, Econometric Society, vol. 59(1), pages 241-250, January.
    14. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    15. Karim M. Abadir & Paolo Paruolo, 1997. "Two Mixed Normal Densities from Cointegration Analysis," Econometrica, Econometric Society, vol. 65(3), pages 671-680, May.
    16. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1992. "Stock Prices and Volume," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 199-242.
    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. David F. Hendry, 2013. "Econometric Modelling: The ‘Consumption Function’ In Retrospect," Scottish Journal of Political Economy, Scottish Economic Society, vol. 60(5), pages 495-522, November.
    2. Elmendorf, Douglas W. & Gregory Mankiw, N., 1999. "Government debt," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 25, pages 1615-1669, Elsevier.
    3. Attanasio, O.P. & Weber, G., 1989. "Consumption, Productivity Growth and the Interest Rate," Discussion Paper 1989-25, Tilburg University, Center for Economic Research.
    4. Alessie, Rob & Melenberg, Bertrand & Weber, Guglielmo, 1988. "Consumption, leisure and earnings-related liquidity constraints : A note," Economics Letters, Elsevier, vol. 27(1), pages 101-104.
    5. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, April.
    6. Stephen M. Miller & Frank S. Russek, 2003. "The Relationship Between Large Fiscal Adjustments And Short‐Term Output Growth Under Alternative Fiscal Policy Regimes," Contemporary Economic Policy, Western Economic Association International, vol. 21(1), pages 41-58, January.
    7. Grigoli, Francesco & Herman, Alexander & Schmidt-Hebbel, Klaus, 2018. "Saving in the world," World Development, Elsevier, vol. 104(C), pages 257-270.
    8. Jeffrey H Dorfman & Christian Gregory & Zhongyuan Liu & Ran Huo, 2019. "Re-Examining the SNAP Benefit Cycle Allowing for Heterogeneity," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 41(3), pages 404-433.
    9. Harvey, Campbell R., 2001. "The specification of conditional expectations," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 573-637, December.
    10. Michele Boldrin & Lawrence J. Christiano & Jonas D.M. Fisher, 1995. "Asset Pricing Lessons for Modeling Business Cycles," NBER Working Papers 5262, National Bureau of Economic Research, Inc.
    11. Jim Malley & Hassan Molana, 1999. "The Permanent Income Hypothesis Revisited," Dundee Discussion Papers in Economics 105, Economic Studies, University of Dundee.
    12. Lorenzo Pozzi, 2011. "The Time-Varying Volatility of Earnings and Aggregate Precautionary Savings," Tinbergen Institute Discussion Papers 11-144/2, Tinbergen Institute.
    13. Campbell, John Y, 1987. "Does Saving Anticipate Declining Labor Income? An Alternative Test of the Permanent Income Hypothesis," Econometrica, Econometric Society, vol. 55(6), pages 1249-1273, November.
    14. V. De Bonis & R. Paladini, 1998. "Fiscal adjustments in Europe and Ricardian equivalence," BNL Quarterly Review, Banca Nazionale del Lavoro, vol. 51(206), pages 247-272.
    15. Pope, Rulon D. & LaFrance, Jeffrey T. & Just, Richard E., 2011. "Agricultural arbitrage and risk preferences," Journal of Econometrics, Elsevier, vol. 162(1), pages 35-43, May.
    16. Drouhin, Nicolas, 2020. "Non-stationary additive utility and time consistency," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 1-14.
    17. Milena Dinkova & Adriaan Kalwij & Rob Alessie, 2021. "Know More, Spend More? The Impact of Financial Literacy on Household Consumption," De Economist, Springer, vol. 169(4), pages 469-498, November.
    18. Alessie, R.J.M. & Kapteyn, A.J., 1986. "Consumption, savings and demography," Research Memorandum FEW 238, Tilburg University, School of Economics and Management.
    19. L. Pozzi & F. Heylen & M. Dossche, 2002. "Government debt and the excess sensitivity of private consumption to current income: an empirical analysis for OECD countries," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 02/155, Ghent University, Faculty of Economics and Business Administration.
    20. Koumparoulis, Dimitrios, 2006. "Ευρωπαϊκή Δημοσιονομική Πολιτική Και Οικονομική Μεγέθυνση: Η Νεοκλασική Οικονομική Θεωρία Για Την Περίπτωση Της Ελλάδας [European Fiscal Policy and Economic Growth: The Neoclassical Economic Theory," MPRA Paper 44310, University Library of Munich, Germany.

    More about this item

    Keywords

    and phrases; Hypergeometric functions; distribution theory; non-linear models and discontinues; differential equations; economic theory; utility; production and cost functions;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General

    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:taf:emetrv:v:18:y:1999:i:3:p:287-330. 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: the person in charge (email available below). General contact details of provider: http://www.tandfonline.com/LECR20 .

    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.