IDEAS home Printed from https://ideas.repec.org/p/exe/wpaper/9510.html
   My bibliography  Save this paper

An Introduction to Hypergeometric Functions for Economists

Author

Listed:
  • Abadir, Karim

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 hypergeometic functions is given. As a result, some potentially useful general applications emerge such as in statistical distribution theory, applied econonometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide the parsimonious explicit (and interpretable) solutions to a wide range of general problems.

Suggested Citation

  • Abadir, Karim, 1995. "An Introduction to Hypergeometric Functions for Economists," Discussion Papers 9510, University of Exeter, Department of Economics.
    • Handle: RePEc:exe:wpaper:9510
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    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. 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.
    4. Abadir, Karim M., 1993. "On the Asymptotic Power of Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 9(2), pages 189-221, April.
    5. Robinson, P M, 1988. "Semiparametric Econometrics: A Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(1), pages 35-51, January.
    6. Sutherland, Alan, 1996. "Intrinsic bubbles and mean-reverting fundamentals," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 163-173, February.
    7. Muellbauer, John, 1983. "Surprises in the Consumption Function," Economic Journal, Royal Economic Society, vol. 93(369a), pages 34-50, Supplemen.
    8. 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.
    9. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Stochastic Process Switching: Some Simple Solutions," Econometrica, Econometric Society, vol. 59(1), pages 241-250, January.
    10. 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.
    11. 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.
    12. Enrique Sentana, 1995. "Quadratic ARCH Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(4), pages 639-661.
    13. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    14. 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.
    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. Bernd Hayo & Matthias Uhl, 2017. "Taxation and consumption: evidence from a representative survey of the German population," Applied Economics, Taylor & Francis Journals, vol. 49(53), pages 5477-5490, November.
    4. Abadir, Karim M. & Distaso, Walter, 2007. "Testing joint hypotheses when one of the alternatives is one-sided," Journal of Econometrics, Elsevier, vol. 140(2), pages 695-718, October.
    5. Palm, F.C. & Winder, C.C.A., 1986. "The stochastic life cycle consumption model : theoretical results and empirical evidence," Serie Research Memoranda 0016, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    6. Attanasio, O.P. & Weber, G., 1989. "Consumption, Productivity Growth and the Interest Rate," Discussion Paper 1989-25, Tilburg University, Center for Economic Research.
    7. 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.
    8. John Stachurski, 2009. "Economic Dynamics: Theory and Computation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012774, December.
    9. 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.
    10. Drouhin, Nicolas, 2020. "Non-stationary additive utility and time consistency," Journal of Mathematical Economics, Elsevier, vol. 86(C), pages 1-14.
    11. Orazio P. Attanasio & Guglielmo Weber, 2010. "Consumption and Saving: Models of Intertemporal Allocation and Their Implications for Public Policy," Journal of Economic Literature, American Economic Association, vol. 48(3), pages 693-751, September.
    12. Kato, Ryo & Nishiyama, Shin-Ichi, 2005. "Optimal monetary policy when interest rates are bounded at zero," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 97-133, January.
    13. Jorge Caiado, 2004. "Modelling And Forecasting The Volatility Of The Portuguese Stock Index Psi-20," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 9(1), pages 3-21.
    14. 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.
    15. V. De Bonis & R. Paladini, 1998. "Fiscal adjustments in Europe and Ricardian equivalence," Banca Nazionale del Lavoro Quarterly Review, Banca Nazionale del Lavoro, vol. 51(206), pages 247-272.
    16. Grigoli, Francesco & Herman, Alexander & Schmidt-Hebbel, Klaus, 2018. "Saving in the world," World Development, Elsevier, vol. 104(C), pages 257-270.
    17. 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.
    18. Sarantis, Nicholas & Stewart, Chris, 2003. "Liquidity constraints, precautionary saving and aggregate consumption: an international comparison," Economic Modelling, Elsevier, vol. 20(6), pages 1151-1173, December.
    19. Brunila, Anne, 1996. "Fiscal policy and private consumption : Saving decisions : Evidence from Finland," Research Discussion Papers 28/1996, Bank of Finland.
    20. Harvey, Campbell R., 2001. "The specification of conditional expectations," Journal of Empirical Finance, Elsevier, vol. 8(5), pages 573-637, December.

    More about this item

    Keywords

    MATHEMATICAL ECONOMICS;

    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:exe:wpaper:9510. 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: Sebastian Kripfganz (email available below). General contact details of provider: https://edirc.repec.org/data/deexeuk.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.