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Biometrika 1981 68(1):326-328; doi:10.1093/biomet/68.1.326
© 1981 by Biometrika Trust
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MISCELLANEA

A note on the estimation of a distribution function and quantiles by a kernel method

A. AZZALINI

Istituto di Statistica, Università di Padova Italy

A distribution function is estimated by integrating a kernel estimator of the density. Quantiles are estimated by inverting the estimate of the distribution function. Second-order properties of both these estimators are studied.

Key Words: Distribution function • Kernel method • Nonparametric estimation • Quantiles • Simulation


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