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Nonparametric Density Estimation: The L 1 View.

非参数密度估计:L1 视角

Differentiation of Integrals Consistency Lower Bounds for Rates of Convergence Rates of Convergence in L1 The Automatic Kernel Estimate: L1 and Pointwise Convergence Estimates Related to the Kernel Estimate and the Histogram Estimate Simulation, Inequalities, and Random Variate Generation The Transformed Kernel Estimate Applications in Discrimination Operations on Density Estimates Estimators Based on Orthogonal Series Index.

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Some Nonparametric Techniques for Estimating the Intensity Function of a Cancer Related Nonstationary Poisson Process

癌症相关非平稳泊松过程强度函数的非参数估计

An attempt is made to model the appearance times of metastases as a nonstationary Poisson process. Three algorithms are developed for this task. The first follows the kernel approach used in probability density estimation by Parzen and Rosenblatt; the second extends the work of Grenander on mortality measurements to a more general censoring scheme appropriate for the present application; the third employs a discrete maximum penalized likelihood approach. We obtain estimates…

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Accuracy Borrowing in the Estimation of the Mean by Shrinkage to an Interval

向区间收缩的均值估计与精度借用

The topic of the shrinkage of an estimator for the mean of a normal distribution towards a point ([3] Thompson) is extended to shrinkage to an interval centered at μ = 0. An effort is made to keep the form of the modified estimator relatively simple, while obtaining more flexibility than is possessed by the sample mean . The family of estimators advocated is: Curves of MSE/σ (where MSE is mean square error) versus |μ/| are given for a number of values of θ and κ. A table is…

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