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.
Hosni, A. (1990). Estimation of the Scaling Parameter for A Symmetric Design Function. The Egyptian Statistical Journal, 34(1), 59-67. doi: 10.21608/esju.1990.315032
MLA
A.K. Hosni. "Estimation of the Scaling Parameter for A Symmetric Design Function", The Egyptian Statistical Journal, 34, 1, 1990, 59-67. doi: 10.21608/esju.1990.315032
HARVARD
Hosni, A. (1990). 'Estimation of the Scaling Parameter for A Symmetric Design Function', The Egyptian Statistical Journal, 34(1), pp. 59-67. doi: 10.21608/esju.1990.315032
VANCOUVER
Hosni, A. Estimation of the Scaling Parameter for A Symmetric Design Function. The Egyptian Statistical Journal, 1990; 34(1): 59-67. doi: 10.21608/esju.1990.315032
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