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核型密度估计尺度参数的估计AI 解读

An algorithm is given for estimation of the scaling parameter Λ in the kernel-type density estimate derived from the Fourier integral. A Monte Carlo study of five different densities compares the integrated square error (ISE) for the resulting estimate to the ISE for the Fourier integral estimate (FIE) with mean integrated squared error (MISE) optimal Λ and to the ISE for the normal kernel with asymptotically MISE optimal Λ. The study shows the FIE with estimated Λ compares…

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密度估计的平均积分平方误差性质AI 解读

The rate at which the mean integrated square error decreases as sample size increases is evaluated for general $L^1$ kernel estimates and for the Fourier integral estimate for a probability density. The rates are compared to that of the minimum M.I.S.E.; the Fourier integral estimate is found to be asymptotically optimal.

密度估计的均方误差性质AI 解读

The rate at which the mean square error decreases as sample size increases is evaluated for general $L^1$ kernel estimates and for the Fourier integral estimate for a probability density function. The estimates are then compared on the basis of these rates.