IDEAS home Printed from https://ideas.repec.org/p/ema/worpap/2001-24.html
   My bibliography  Save this paper

Density Estimation Using Inverse and Reciprocal Inverse Gaussian Kernels

Author

Listed:
  • O. Scaillet

Abstract

This paper introduces two new nonparametric estimators for probability density functions which have support on the non-negative half-line. These kernel estimators are based on some inverse Gaussian and reciprocal inverse Gaussian probability density functions used as kernels. We show that they share the same properties as those of gamma kernel estimators : they are free of boundary bias, always non-negative, and achieve the optimal rate of convergence for the mean integrated squarred error. Extensions to regression curve estimation and hazard rate estimation under random censoring are briefly discussed. Monte Carlo results concerning finite sample properties are reported for different distributions.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • O. Scaillet, 2001. "Density Estimation Using Inverse and Reciprocal Inverse Gaussian Kernels," THEMA Working Papers 2001-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    • Handle: RePEc:ema:worpap:2001-24
    as

    Download full text from publisher

    File URL: http://www.u-cergy.fr/IMG/documents//2001-24Scaillet.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jones, Larry E & Manuelli, Rodolfo E, 1992. "The Coordination Problem and Equilibrium Theories of Recessions," American Economic Review, American Economic Association, vol. 82(3), pages 451-471, June.
    2. Jacques Drèze, 2001. "On the Macroeconomics of Uncertainty and Incomplete Markets," International Economic Association Series, in: Jacques Drèze (ed.), Advances in Macroeconomic Theory, chapter 3, pages 30-55, Palgrave Macmillan.
    3. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    4. Gali, Jordi, 1996. "Multiple Equilibria in a Growth Model with Monopolistic Competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 251-266, August.
    5. Dreze, Jacques H., 1997. "Walras--Keynes equilibria coordination and macroeconomics," European Economic Review, Elsevier, vol. 41(9), pages 1735-1762, December.
    6. Nobuhiro Kiyotaki, 1988. "Multiple Expectational Equilibria Under Monopolistic Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(4), pages 695-713.
    7. Oliver Hart, 1982. "A Model of Imperfect Competition with Keynesian Features," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(1), pages 109-138.
    8. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    9. Roberts, John, 1987. "An Equilibrium Model with Involuntary Unemployment at Flexible, Competitive Prices and Wages," American Economic Review, American Economic Association, vol. 77(5), pages 856-874, December.
    10. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    11. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Eduardo Fé, 2010. "An application of local linear regression with asymmetric kernels to regression discontinuity designs," Economics Discussion Paper Series 1016, Economics, The University of Manchester.
    2. Bouezmarni, Taoufik & Rombouts, Jeroen V.K., 2010. "Nonparametric density estimation for positive time series," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 245-261, February.
    3. Hagmann, M. & Scaillet, O., 2007. "Local multiplicative bias correction for asymmetric kernel density estimators," Journal of Econometrics, Elsevier, vol. 141(1), pages 213-249, November.
    4. Abadir, Karim M. & Lawford, Steve, 2004. "Optimal asymmetric kernels," Economics Letters, Elsevier, vol. 83(1), pages 61-68, April.
    5. Masayuki Hirukawa & Mari Sakudo, 2015. "Family of the generalised gamma kernels: a generator of asymmetric kernels for nonnegative data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 27(1), pages 41-63, March.
    6. Hirukawa, Masayuki, 2010. "Nonparametric multiplicative bias correction for kernel-type density estimation on the unit interval," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 473-495, February.
    7. Renault, Olivier & Scaillet, Olivier, 2004. "On the way to recovery: A nonparametric bias free estimation of recovery rate densities," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 2915-2931, December.
    8. Fernandes, Marcelo & Grammig, Joachim, 2005. "Nonparametric specification tests for conditional duration models," Journal of Econometrics, Elsevier, vol. 127(1), pages 35-68, July.
    9. Kapetanios, George, 2008. "Bootstrap-based tests for deterministic time-varying coefficients in regression models," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 534-545, December.
    10. Nikolay Gospodinov & Masayuki Hirukawa, 2008. "Nonparametric Estimation of Scalar Diffusion Processes of Interest Rates Using Asymmetric Kernels," Working Papers 08011, Concordia University, Department of Economics, revised Dec 2008.
    11. Xiaodong Jin & Janusz Kawczak, 2003. "Birnbaum-Saunders and Lognormal Kernel Estimators for Modelling Durations in High Frequency Financial Data," Annals of Economics and Finance, Society for AEF, vol. 4(1), pages 103-124, May.
    12. George Kapetanios, 2005. "Tests for Deterministic Parametric Structural Change in Regression Models," Working Papers 539, Queen Mary University of London, School of Economics and Finance.
    13. Muhammad Hanif, 2011. "Reweighted Nadaraya-Watson estimator of scalar diffusion models by using asymmetric kernels," Far East Journal of Psychology and Business, Far East Research Centre, vol. 4(5), pages 53-69, July.
    14. N. Balakrishna & Hira L. Koul, 2017. "Varying kernel marginal density estimator for a positive time series," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 29(3), pages 531-552, July.
    15. Taoufik Bouezmarni & Jeroen Rombouts, 2008. "Density and hazard rate estimation for censored and α-mixing data using gamma kernels," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 20(7), pages 627-643.
    16. Ané, Thierry & Métais, Carole, 2009. "The distribution of realized variances: Marginal behaviors, asymmetric dependence and contagion effects," International Review of Financial Analysis, Elsevier, vol. 18(3), pages 134-150, June.

    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. Fagnart, Jean-Francois & Pierrard, O. & Sneessens, Henri R., 2007. "Microeconomic uncertainty and macroeconomic indeterminacy," European Economic Review, Elsevier, vol. 51(6), pages 1564-1588, August.
    2. Julien, Ludovic A., 2003. "Chômage d’équilibre, équilibres multiples et défauts de coordination," L'Actualité Economique, Société Canadienne de Science Economique, vol. 79(4), pages 523-562, Décembre.
    3. Amedeo Panci, 1999. "Multiple equilibria: coordination failure and endogenous cycle," Working Papers in Public Economics 30, University of Rome La Sapienza, Department of Economics and Law.
    4. repec:hal:spmain:info:hdl:2441/10287 is not listed on IDEAS
    5. Russell Cooper & Andrew John, 2000. "Imperfect competition and macroeconomics : Theory and quantitative implications," Cahiers d'Économie Politique, Programme National Persée, vol. 37(1), pages 289-328.
    6. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February.
    7. repec:spo:wpecon:info:hdl:2441/10287 is not listed on IDEAS
    8. Seonghwan Oh & Michael Waldman, 1989. "Keynesian Coordination Failure and Persistence," UCLA Economics Working Papers 570, UCLA Department of Economics.
    9. repec:hal:wpspec:info:hdl:2441/10287 is not listed on IDEAS
    10. Citanna, A. & Cres, H. & Dreze, J. & Herings, P.J.J. & Villanacci, A., 2001. "Underemployment of resources and self-fulfilling beliefs: non-Walrasian allocations at Walrasian prices," Research Memorandum 041, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Thierry Laurent & Hélène Zajdela, 1999. "Emploi, salaire et coordination des activités," Cahiers d'Économie Politique, Programme National Persée, vol. 34(1), pages 67-100.
    12. Cooper, Russell W. & Johri, Alok, 1997. "Dynamic complementarities: A quantitative analysis," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 97-119, September.
    13. repec:ebl:ecbull:v:4:y:2008:i:29:p:1-8 is not listed on IDEAS
    14. Alessandro Citanna & Herve Cres & Antonio Villanacci, "undated". "Underemployment of resources and self-fulfilling beliefs: Nonwalrasian allocations at walrasian prices," GSIA Working Papers 11, Carnegie Mellon University, Tepper School of Business.
    15. Maarten C.W. Janssen, 2006. "Microfoundations," Tinbergen Institute Discussion Papers 06-041/1, Tinbergen Institute.
    16. Sniekers, F.J.T., 2013. "Endogenous Beveridge cycles and the volatility of unemployment," CeNDEF Working Papers 13-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    17. Greg Kaplan & Guido Menzio, 2016. "Shopping Externalities and Self-Fulfilling Unemployment Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 124(3), pages 771-825.
    18. Patrick Artus, 1993. "Défauts de coordination des activités. Principes et exemples," Revue Économique, Programme National Persée, vol. 44(3), pages 551-568.
    19. Matthieu Bouvard & Adolfo de Motta, 2021. "Labor leverage, coordination failures, and aggregate risk," Post-Print hal-03524121, HAL.
    20. Dreze, Jacques H., 1997. "Walras--Keynes equilibria coordination and macroeconomics," European Economic Review, Elsevier, vol. 41(9), pages 1735-1762, December.
    21. Citanna, Alessandro & Cres, Herve & Dreze, Jacques & Herings, P. Jean-Jacques & Villanacci, Antonio, 2001. "Continua of underemployment equilibria reflecting coordination failures, also at Walrasian prices," Journal of Mathematical Economics, Elsevier, vol. 36(3), pages 169-200, December.
    22. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    23. Seongwan Oh & Michael Waldman, 1989. "The New Perspective on Keynesian Coordination Failure: Theory and Evidence," UCLA Economics Working Papers 559, UCLA Department of Economics.
    24. Levin, Dan & Peck, James, 2008. "Investment dynamics with common and private values," Journal of Economic Theory, Elsevier, vol. 143(1), pages 114-139, November.

    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ema:worpap:2001-24. 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: Stefania Marcassa (email available below). General contact details of provider: https://edirc.repec.org/data/themafr.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.