日期精度：到日 1 篇 · 到月 16 篇 · 到年 1 篇
一种新的排序集抽样方差估计量
Summary We develop an unbiased estimator of the variance of a population based on a ranked set sample. We show that this new estimator is better than estimating the variance based on a simple random sample and more efficient than the estimator based on a ranked set sample proposed by Stokes. Also, a test to determine the effectiveness of the judgment ordering process is proposed.
判断排序不完美对秩集样本 Mann–Whitney–Wilcoxon 检验性质的影响
In this article we address the issue of imperfect judgment rankings in ranked-set sampling and, in particular, their effect on the properties of test procedures based on the ranked-set samples analog of the Mann-Whitney-Wilcoxon statistic, U rss. We consider the impact of these imperfect rankings on the null distribution of the statistic and the resulting effect on the nominal level of associated hypothesis tests. We propose a model for the probabilities of imperfect…
排序集样本的非参数两样本方法
Ranked-set samples have been shown to lead to improved methods of estimation in parametric settings under specific distributional forms when actual measurement of the sample observations is difficult but ranking them is relatively easy. The earliest work with ranked-set data concentrated on estimating a population mean or variance. More recently, a ranked-set sample estimator of a cumulative distribution function was developed and used to obtain a simultaneous confidence…
基于相对位置的一类无分布双样本检验
We consider a class of two-sample distribution-free tests that are appropriate for situations where one of the sample sizes is large relative to the other. These procedures are based on the placements of the observations in the smaller sample among the ordered observations in the larger sample, and this class of tests generalizes the Mann-Whitney (1947) procedure in much the same way that the class of linear rank tests generalizes the equivalent Wilcoxon (1945) rank sum…
伞形备择下的多样本秩检验
Distribution-free test procedures are proposed for the k-sample problem, where the alternatives of interest are of the form F 1 (x) ≥ ··· ≥ Fℓ(x) ≤ ··· ≤ Fk (x) for all x, with at least one strict inequality. These are referred to as umbrella alternatives, and both the ℓ (point of umbrella) known and ℓ unknown settings are considered. Small sample null distributions are discussed, and the results of a Monte Carlo power study are presented. A detailed example illustrating the…
对称性对非对称性的渐近分布无关检验
An asymptotically distribution-free procedure is proposed for testing whether a univariate population is symmetric about some unknown value versus a broad class of asymmetric distribution alternatives. The consistency class of the test is discussed and two competing tests are described, one based on the sample skewness, and the other on Gupta's nonparametric procedure. A Monte Carlo study shows that the proposed test is superior to either competitor since it maintains the…
未来样本中位数的非参数预测区间
In this article distribution-free prediction intervals for a future sample median are discussed. Large-sample normal approximations to the coverage probabilities are presented. Asymptotic relative efficiency comparisons are made between the distribution-free procedures and analogous parametric prediction intervals, the resulting values demonstrating the good properties of the nonparametric prediction intervals.
部分序贯检验指示集合的选择与最优性准则
Wolfe (1977a) introduced the concept of a partially sequential two-sample hypothesis test and studied some of the properties for a general class of such procedures. In this paper we deal with criteria for selecting an indicator set for use in a partially sequential test. In particular, we show how the Neyman-Pearson lemma can be used to generate an asymptotically optimal indicator set, in the sense that it corresponds to an asymptotically most powerful partially sequential…
随机区组设计中针对有序备择的无分布检验
In this article we consider a class of test statistics that are useful for testing against ordered alternatives in balanced or unbalanced block designs. The approach consists of forming a statistic on each block and then combining the block statistics as a weighted sum to obtain one overall test statistic. Large-sample properties such as asymptotic normality and asymptotic relative efficiency as the number of blocks tends to infinity are considered. Throughout the article…
一类部分序贯的两样本检验程序
A class of test procedures is proposed for the two-sample setting when one of the samples has a fixed sample size, and the second is obtained by an inverse binomial sequential sampling scheme. These procedures allow either a classical approach or a completely nonparametric attack to a wide variety of two-sample problems, Properties of the tests are discussed, Including limiting distributions as the fixed sample size tends to infinity, and the capability of obtaining…
随机排序约束下的无分布检验
A two-sample distribution-free procedure is proposed for testing equal locations under a stochastic ordering restriction. The test statistic M is an estimator of P(X ≤ Y) based upon maximum likelihood estimators of stochastically ordered distribution functions. Some properties of the M test are developed and critical values are provided for selected sample sizes. A Monte Carlo power study indicates that the M test is more effective (for shift alternatives) than the…
相关联的相关系数相等性检验
Let ( X1 , X2 , X3 ) have a trivariate distribution with mean vector µ and covariance matrix Σ having ( i, j )th element σ ij = ρij σ i σ j with ρij = 1( i, j =1, 2, 3). If we are interested in testing the hypothesis H :ρ 12 =ρ 13 against appropriate alternatives under a variety of assumptions about the form of the trivariate distribution, but with no further restrictions on Σ, we could use one of the many asymptotic or conditional procedures that are available; see, for…
相关系数之间相等性的检验
Let ( X1 , X2 , X3 ) have a trivariate distribution with mean vector µ and covariance matrix Σ having ( i, j )th element σ ij = ρij σ i σ j with ρij = 1( i, j =1, 2, 3). If we are interested in testing the hypothesis H :ρ 12 =ρ 13 against appropriate alternatives under a variety of assumptions about the form of the trivariate distribution, but with no further restrictions on Σ, we could use one of the many asymptotic or conditional procedures that are available; see, for…