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Biometrika 1975 62(3):631-635; doi:10.1093/biomet/62.3.631
© 1975 by Biometrika Trust
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Estimating the distribution function of a symmetric distribution

EUGENE F. SCHUSTER

Department of Mathematics, University of Texas El Paso

This paper considers the problem of estimating the distribution function of a symmetric distribution when the centre of symmetry is unknown. An estimator is proposed which is shown to be asymptotically better than the empirical distribution function for well-known distributions including the normal, double exponential and Cauchy.

Key Words: Distribution estimate • Empirical distribution function • Symmetric distribution


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