Estimation of the Scaling Parameter for A Symmetric Design Function
Hosni, A. (1990). Estimation of the Scaling Parameter for A Symmetric Design Function. EKB Journal Management System, 34(1), 59-67. doi: 10.21608/esju.1990.315032
A.K. Hosni. "Estimation of the Scaling Parameter for A Symmetric Design Function". EKB Journal Management System, 34, 1, 1990, 59-67. doi: 10.21608/esju.1990.315032
Hosni, A. (1990). 'Estimation of the Scaling Parameter for A Symmetric Design Function', EKB Journal Management System, 34(1), pp. 59-67. doi: 10.21608/esju.1990.315032
Hosni, A. Estimation of the Scaling Parameter for A Symmetric Design Function. EKB Journal Management System, 1990; 34(1): 59-67. doi: 10.21608/esju.1990.315032

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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