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硫酸盐湿沉降的区域趋势AI 解读

I propose a multiple time series model for data from a network of monitoring stations that have both temporal and spatial correlation. The model includes a separate mean and trend for each monitoring station and obtains spatial estimates of mean and trend by smoothing the observed values over a rectangular grid using a discrete smoothing prior. Smoothing parameters and covariance estimates can be chosen subjectively or selected using indirect generalized cross-validation.…

放宽边界条件的平滑样条AI 解读

Ordinary smoothing splines have an integrated mean squared error which is dominated by bias contributions at the boundaries. When the estimated function has additional derivatives, the boundary contribution to the bias affects the asymptotic rate of convergence unless the derivatives of the estimated function meet the natural boundary conditions. This paper introduces relaxed boundary smoothing splines and shows that they obtain the optimal asymptotic rate of convergence…

随机平均众数估计量AI 解读

This paper proposes an estimator for the mean of a positive random variable given a sample from that random variable. The positive mean estimation problem is common, but there are few results for this problem in the literature. This paper shows the proposed estimator to be less sensitive to outlying values than the sample mean and determines its asymptotic mean squared error.