Estimation of the Scaling Parameter for A Symmetric Design Function | ||
The Egyptian Statistical Journal | ||
Article 3, Volume 34, Issue 1, June 1990, Pages 59-67 PDF (4.08 M) | ||
Document Type: Original Article | ||
DOI: 10.21608/esju.1990.315032 | ||
Author | ||
A.K. Hosni | ||
Abstract | ||
Some results are given for the estimation of the scaling parameter in kernel-type density estimation for a symmetric density. For the case when the point of symmetry, θ is known it is shown that a symmetrized Kernal estimator is, as measured by MISE, approximately as good as non-symmetrized one based on twice as many observations. This result remains true if the estimated density is a normal one and θ is estimated by the sample mean. | ||
Keywords | ||
density estimation; Fourier integral estimate | ||
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