日期精度：到日 0 篇 · 到月 17 篇 · 到年 1 篇
幂函数总体样本最大值之积与商的分布
Distributions are derived of the product and of the quotient of maximum values in samples from a population described by the frequency αx k , which may be called a power-function population. The distribution of the quotient is used to test whether two samples have come from the same triangular population. Estimators of the parameters of the distribution are derived.
三角分布总体的抽样
The distributions of midrange, half-range, median and geometric mean of samples from a triangular population are derived. Mean, median, and midrange are compared as to their efficiency in estimating the single parameter of the population, which is the upper end of the range of the distribution. The best estimator of the parameter, however, is based on the maximum value in the sample, since it is derived from the likelihood function and is a sufficient statistic.
三角分布总体的抽样与估计
The distributions of midrange, half-range, median and geometric mean of samples from a triangular population are derived. Mean, median, and midrange are compared as to their efficiency in estimating the single parameter of the population, which is the upper end of the range of the distribution. The best estimator of the parameter, however, is based on the maximum value in the sample, since it is derived from the likelihood function and is a sufficient statistic.
柯西分布小样本中位数的方差
Exact values of the variances of the medians of small samples from a Cauchy distribution are given. They are compared with the values obtained by using the formula for asymptotic variance.
柯西分布样本中位数的方差
Exact values of the variances of the medians of small samples from a Cauchy distribution are given. They are compared with the values obtained by using the formula for asymptotic variance.
若干特殊总体中小样本中位数的方差
A comparison is made of the exact variances of medians of small samples from several special populations with the values obtained by using the formula for asymptotic variance.
若干特殊总体中小样本中位数的方差
A comparison is made of the exact variances of medians of small samples from several special populations with the values obtained by using the formula for asymptotic variance.
样本中程数作为总体中程数的估计量
A study is made of the distribution of the midranges of samples from five different symmetric populations of limited range, and of the relative efficiency of midrange and mean in estimating the population midrange, or mean, or median. (For a symmetric distribution these three averages are of course identical.) It is found that the midrange is more efficient than the mean for all of the populations considered, and that this efficiency increases with decreasing α4(=…
论误差的统计理论
Excerpts from the article: Some of the recent advances in probability and mathematical statistics throw considerable light on the theory of errors. Problems that arise in drawing conclusions from observations are essentially statistical and should be handled as such. Unfortunately, the literature on statistics has received but scant notice from writers of treatises on errors. The present paper is the result of an attempt to gather the elements of the statistics of a single…