论文检索

摘要暂缺

摘要暂缺

摘要暂缺

摘要暂缺

摘要暂缺

摘要暂缺

一类协方差不等式AI 解读

This article considers the class of covariance inequalities of the form cov (X,Y) ≤ var g(X,Y). We present a functional inequality and a partial differential inequality, each of which is a necessary and sufficient condition on g for the covariance inequality to be satisfied for all random variables X, Y jointly taking values in a given region.

多个伯努利参数函数的置信区间及可靠性应用AI 解读

The estimation of functions of Bernoulli parameters is of interest in reliability theory. In this article, the theory of exponential families is used to obtain exact confidence limits for products and quotients of Bernoulli parameters when negative binomial observations are available from each population. Sampling methods based on compound Poisson distribution are suggested for estimating more general functions such as sums of products of Bernoulli parameters. Finally, it is…

离散概率函数线性组合的最大似然估计AI 解读

In this article the problem of obtaining the maximum likelihood estimates of the parameters from a special type of linear combination of discrete probability functions is discussed. It is shown that when the sample is completely categorized the estimation problem is no more complicated that that of estimating the parameters of each of the component probability functions separately. When the sample is less than completely classified an iterative procedure must be used to…

摘要暂缺

摘要暂缺

个人公司股票持有的应计资本利得估计AI 解读

Stock market gains, their sources and economic effects have been the subjects of several recent studies, but the estimates of accrued gains generated in these studies often differ considerably, and do not meet some simple tests of consistency. In this article, an analytical framework is developed for computing capital gains consistently. The holdings of nonprofit institutions, which are generally not separated from the household sector because of lack of satisfactory data…

摘要暂缺

摘要暂缺

摘要暂缺

摘要暂缺

分层样本列联表独立性检验的渐近功效AI 解读

The statistics of several alternative procedures, proposed to test for independence in contingency tables derived from stratifled samples, all have the same asymptotic chi-square distribution, under the null hypothesis. By considering a modified sampling procedure, it is shown here that they also have the same asymptotic distribution under any alternative hypothesis—the non-central chi square, with the noncentrality parameter of Wald's test for the case of independently and…

多阶段抽样中的域估计AI 解读

In this article we consider a stratified multistage sampling in which the first stage units are selected by stratified random sampling without replacement and second-stage units from each selected unit similarly chosen. Estimates for domain of study are given. The analysis is illustrated using the data collected in an application of the design.

定号二次型分布的高斯近似AI 解读

Let Qk = Σk j-1 cj(xj + aj)2 be a definite quadratic form in independent standardized Gaussian variables, xj, EQk = 01. The normalizing transformation (Qk/01)h is investigated, where h is determined by the first three moments of Qk. A new Gaussian approximation to the noncentral chi-square (x2) distribution is found for which the coefficient of skewness is smaller than a cube root transformation in the literature. Our transformation specializes to the cube root…

有序多项数据的上下概率推断AI 解读

Dempster's method of upper and lower probabilities represents an attempt to obtain posterior probability statements about parameters without the necessity to incorporate prior information. We apply Dempster's method to the case of multinomial data for which there is some natural ordering of the categories. Inferences are derived for the sum of an arbitrary set of categories, the ratio of two such sums, and linear combinations of the category probabilities. Numerical examples…

统计算法测试数据：最小二乘与方差分析AI 解读

The need for and advantages of test data expressible in mathematical form are discussed. Examples are given for least squares and for univariate and multivariate analysis of variance and analysis of covariance.

随机区组设计中针对有序备择的无分布正态分数检验AI 解读

We introduce a normal scores test for ordered alternatives among k treatments in the randomized block design. For k = 2 or 3, the test is equivalent to a standard test due to Page [5]. For k ≥ 4, the test differs from Page's and is often more efficient. As k→ ∞, the Pitman asymptotic relative efficiency of the normal scores test compared to Page's test tends to ∞ for uniform and exponential populations. For normal, uniform and exponential populations, this efficiency exceeds…

基于秩幂的两样本检验：检测尺度与位置备择的渐近性质AI 解读

Two-sample tests based on powers of ranks are considered. These tests are asymptotically optimum against either scale or location alternatives for distributions presented in this article. Specific cases among the classes of tests considered here include the Wilcoxon, sum of squared ranks, median, Ansari-Bradley and Mood two-sample rank tests. The quality of the normal approximation for these tests is indicated by obtaining each test statistic's approximate large sample…

位置参数的渐近最优分组秩检验AI 解读

The asymptotic efficiency of a simple group rank test is examined in the case of testing that the location parameter of a symmetric distribution is zero against the alternative it is positive. Asymptotic optimality is shown subject to a condition on the density function. Efficiencies in relation to the sample mean and the sign test are found in several cases.