论文检索

适用于截断数据的两类位置变化检验比较AI 解读

Summary The powers of one and two-sample tests of change of centre of location based on the difference of sample quantiles are compared with those of the corresponding combinatorial tests based on quantile division of the sample. The powers are found to be asymptotically equivalent. Computation of particular cases suggests that for quite small samples there is good agreement of the powers of the two kinds of test with each other and with their common limiting form.

摘要暂缺

伽马分布较低分位点非参数寿命检验的渐近效率AI 解读

This paper does not present new statistical methods. Rather, it shows that a well known nonparametric procedure which is valid under extremely general conditions also has high efficiency and other favorable properties for certain types of life testing situations. This nonparametric method is the sign test and its confidence interval and point estimate analogs. Sign test procedures and methods of applying them have already received extensive coverage in the literature (e.g.,…

切比雪夫不等式的推广AI 解读

Summary We may often obtain the lower moments of a sampling distribution when the distribution itself is intractable. Tchebycheff’s celebrated inequalities for the cumulative distribution function are of very little use in practice, being “much too wide”. The present work obtains generalizations of these inequalities by restricting the distribution function to be “smooth” in two senses: firstly, by restricting the number of changes of sign of some derivative, and secondly by…

Kolmogorov统计量的分位点表AI 解读

A simple method for testing the probability that a set of numbers is a sample from a known distribution consists of comparing the empirical cumulative distribution function of the sample, S n (x), with the known cumulative distribution function F(x). Both D n = maximum {S n (x) – F{x)} and D n * = maximum | S n (x) – F(x) | are random variables, independent of the special form of F(x), if F(x) is continuous. This paper contains more extensive tables of the percentage points…

具有正态残差的平稳时间序列谱分布函数的拟合优度检验AI 解读

A. M. WALKER; A GOODNESS OF FIT TEST FOR SPECTRAL DISTRIBUTION FUNCTIONS OF STATIONARY TIME SERIES WITH NORMAL RESIDUALS, Biometrika, Volume 43, Issue 3-4, 1 De

收入分布：一个新模型AI 解读

This paper endeavours to present a simple model to explain the frequency distribution of income by adding birth and death considerations to the more usual random shock system type of model. The form of this model turns out to be a Gram-Charlier distribution subject to a linear logarithmic transformation, the parameters of which are meaningful and significant. A tentative method of fitting such curves is suggested and the values of the parameters discussed.

摘要暂缺

摘要暂缺

非参数情形下的置信界限AI 解读

The purpose of this article is to give a survey 1 1I should like to thank Professor Wolfowits for pointing out the need for such a survey. of certain methods available for finding confidence limits when nothing is assumed about the population from which a sample has been drawn except possibly that it has a continuous distribution. The following three cases are treated: a confidence band for the unknown cumulative distribution function, a confidence interval for the…

非参数情形下的置信限AI 解读

The purpose of this article is to give a survey 1 1I should like to thank Professor Wolfowits for pointing out the need for such a survey. of certain methods available for finding confidence limits when nothing is assumed about the population from which a sample has been drawn except possibly that it has a continuous distribution. The following three cases are treated: a confidence band for the unknown cumulative distribution function, a confidence interval for the…

摘要暂缺

观测误差方差未知时变量系统部分间线性关系的确定AI 解读

Given a sufficient number of instrumental variables significantly correlated with the\ninvestigational variables, consistent estimates of the coefficients of the linear relations can be determined (if they exist), without knowledge of the disturbance variances. The estimates are discussed from the viewpoint of probability convergence. In the case of two investigational and one instrumental variable, all three variables distributed on the normal surface, the distribution of…

截断正态总体中样本和的分布AI 解读

Summary This paper deals with the situation arising when a normal population has all members with values greater (or less) than a given value rejected, and where small samples are drawn from the remaining truncated population. Formal expressions are deduced from which can be calculated the distribution of the sum (or mean) of the sample values as a function of the point at which the original parent population is cut. Tables are given for the integral distribution function of…

论吉布拉特分布AI 解读

1. IT WAS a great achievement of Gibrat2 to show that the distribution of the logarithms of some economic variates (for instance, the distribution of factories according to the number of workers) is approximately normal. The explanation of this phenomenon by Gibrat may be presented in a rigorous form as follows: Let us denote the variate X (for instance the number of workers in a factory) at a certain date by XO. Let us further assume that subsequently it undergoes a series…

摘要暂缺

统计资料年度综述：帕累托定律与收入不平等指数AI 解读

PARETO deserves a place of honor among those economists who have aimed at a unification of theoretical-quantitative and empirical-quantitative approach to economic problems. His, sometimes misplaced,' exaltation of method led him to affirm that the progress of economic science in future will depend to a large extent upon investigation of empirical laws, derived from statistics, which will then be compared with known theoretical laws, or will lead to discovery of new laws.…

经济力量如何形成收入、价格等现象的频数分布：研究建议AI 解读

THERE has been, to some extent, a divergence of purpose between the work of mathematical statisticians and mathematical economists. The former have studied variation, such as the form and measurement of frequency groups, and the correlation between two or more variables; the latter have studied equations of equilibrium, in which the data represent totals, margins, the representative, the average-single quantities in general-where heterogeneity does not enter into the…