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多维格点上平稳过程的参数估计AI 解读

We study asymptotic properties of various estimation procedures for a general stationary regular process on a d-dimensional lattice. Differences between d = 1, time series, and d ≥ 2 spatial processes, are pointed out. We suppose that the process is observed on a set PN, with cN points, which tends to infinity with the same speed in all directions. The relative edge effect is of order cN−1/d, increasing with d: this effect is without statistical importance if d = 1, but is…

随机场中不同实验设计的精度AI 解读

Various experimental designs can be used to study the effects of several treatments on a field. The variation of yield in the field will be represented by a realization of a stationary process with isotropic covariance. The variance of an estimator of a treatment effect can be divided into two parts, the first part due to experimental errors and the second part involving the process as well as randomization. This second component will be studied in order to find an optimal…

随机场中不同实验设计的精度AI 解读

Various experimental designs can be used to study the effects of several treatments on a field. The variation of yield in the field will be represented by a realization of a stationary process with isotropic covariance. The variance of an estimator of a treatment effect can be divided into two parts, the first part due to experimental errors and the second part involving the process as well as randomization. This second component will be studied in order to find an optimal…