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Density Estimation Using Inverse and Reciprocal Inverse Guassian Kernels

  • Olivier SCAILLET

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

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.

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Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2001017.

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Length: 15
Date of creation: 01 Jun 2001
Date of revision:
Handle: RePEc:ctl:louvir:2001017
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  1. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-94, October.
  2. DREZE, Jacques H., 1997. "Walras-Keynes equilibria coordination and macroeconomics," CORE Discussion Papers 1997051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Gali, Jordi, 1996. "Multiple Equilibria in a Growth Model with Monopolistic Competition," Economic Theory, Springer, vol. 8(2), pages 251-66, August.
  4. 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 451-71, June.
  5. Howitt, Peter & McAfee, R Preston, 1992. "Animal Spirits," American Economic Review, American Economic Association, vol. 82(3), pages 493-507, June.
  6. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, Oxford University Press, vol. 98(3), pages 525-528.
  7. Oliver Hart, 1982. "A Model of Imperfect Competition with Keynesian Features," The Quarterly Journal of Economics, Oxford University Press, vol. 97(1), pages 109-138.
  8. Nobuhiro Kiyotaki, 1988. "Multiple Expectational Equilibria Under Monopolistic Competition," The Quarterly Journal of Economics, Oxford University Press, vol. 103(4), pages 695-713.
  9. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 441-463.
  10. DREZE, Jacques, 1999. "On the macroeconomics of uncertainty and incomplete markets," CORE Discussion Papers 1999064, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. 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 856-74, December.
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