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抽样理论中若干有用的乘积矩AI 解读

General methods are developed for finding the mathematical expectation of and where X pj denotes the pth (p=1,2,···,k) character of the jth (j=1,2,···, N) unit of a finite population, is the sample mean of the pth character based on a random sample of size n, and is the corresponding population mean. Methods for unbiasedly estimating the product moments are also presented.

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位置参数的渐近稳健估计量AI 解读

The robustness properties of four estimators of location are studied with respect to eight distribution types. For each type, the probability density function is symmetric about the median and the range of variate is infinite. For the entire class of distributions, the estimator with the highest guaranteed efficiency is the mean of the middle fifty percent of the sample. This study supplements the paper by Crow and Siddiqui (1967).