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Biometrika 1995 82(2):327-338; doi:10.1093/biomet/82.2.327
© 1995 by Biometrika Trust
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A simple bias reduction method for density estimation

M. C. JONES, O. LINTON and J. P. NIELSEN

Department of Statistics, The Open University Milton Keynes MK7 6AA, U.K.
Department of Economics, Yale University New Haven, Connecticut 06520, U.S.A.
PFA Pension, Marina Park, Sundkrogsgade 4, Copenhagen, 2100 KBH O, Denmark

A new method for bias reduction in nonparametric density estimation is proposed. The method is a simple, two-stage multiplicative bias correction. Its theoretical properties are investigated, and simulations indicate its practical potential. The method is easy to compute and to analyse, and extends simply to multivariate and other estimation problems.

Key Words: Kernel smoothing • Multiplicative bias correction • Transformation


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