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刚体运动的 bootstrap 置信域估计AI 解读

This article deals with statistical inference of the motion of rigid bodies using bootstrap methodology. We consider two types of motion: motion in p dimensional Euclidean space, and motion on a p-dimensional sphere. This article is motivated by problems of interest to polar scientists understanding the motion of ice pack at the North Pole and those to geoscientists studying the motion of tectonic plates. In addition to obtaining the point estimates for various parameters…

序约束下的置信区间估计AI 解读

This article deals with the construction of confidence intervals when the components of the location parameter $\mu$ of the random variable $\mathbf{X}$, which is elliptically symmetrically distributed, are subject to order restrictions. Several domination results are proved by studying the derivative of the coverage probability of the confidence intervals centered at the improved point estimators. Consequently, we strengthen the previously known results regarding the simple…

线性模型中的刀切法方差估计量AI 解读

An alternative to the weighted jackknife variance estimator of Wu (1986) is introduced. Motivated by the comments of Efron (1986), Ghosh (1986) and Tibshirani (1986), the performance of Wu's estimator is compared with the proposed estimator in terms of the average loss in some linear models. Some asymptotic properties of the proposed estimator are discussed.

线性模型中的 Jackknife 方差估计量AI 解读

An alternative to the weighted jackknife variance estimator of Wu (1986) is introduced. Motivated by the comments of Efron (1986), Ghosh (1986) and Tibshirani (1986), the performance of Wu's estimator is compared with the proposed estimator in terms of the average loss in some linear models. Some asymptotic properties of the proposed estimator are discussed.