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偏斜总体的稳健分位数估计量AI 解读

In this study we propose quantile estimators for a variety of skewed distributions. The proposed estimators are based on the biweight estimators for symmetric populations (Horn, 1988). These achieve good coverage across a wide variety of skewed populations, even for sample sizes as small as ten.

一元高斯随机变量绝对值的随机序关系AI 解读

This paper presents necessary and sufficient conditions for the stochastic ordering of absolute univariate Gaussian random variables. This result is based on the behavior of the particular Gaussian density at zero, which is equivalent to restrictions on the mean and variance.

随机样本的双权预测区间AI 解读

This study takes a biweight approach to providing a prediction interval for a single future observation. This problem—equivalent to the problem of estimating quantiles—is of fundamental importance in ascertaining the nature of a process. The prediction or quantile problem is difficult for a robust estimator, since much of the desired information is in the extremes of the sample, whose influence the robust estimator is designed to resist. The situation is further complicated…

若干简便的 t 统计量AI 解读

This article explores the use of t statistics based on two-or four-order statistics. The functions of the order statistics, which are used to define the t statistics, are the pivots and bipivots. The pivots are exact order statistics, while the bipivots are the means of two adjacent order statistics. Two t statistics, based on the pivots and bipivots, are examined and compared to other t statistics, including Student's t, under various sampling situations. We conclude that…

摘要暂缺

摘要暂缺

基于两个对称次序统计量的 t 统计量有限样本分布：正交象限概率表示AI 解读

A t statistic based on two symmetric order statistics is defined. When the underlying distribution of the data is Gaussian the distribution function of the t statistic is shown to equal a linear combination of orthant probabilities with a specific form for the covariance matrix.