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Lehmann 模型下多样本指数得分检验的性质AI 解读

Summary Properties of an exponential scores statistic which provides a non-parametric test of the homogeneity of k continuous populations are considered. Tables of exact critical values are given for the case k = 3 and some small sample sizes and approximations to the critical values are developed and evaluated. Small sample power comparisons are made with the Kruskal–Wallis rank test under the Lehmann model and some asymptotic efficiency results are developed under a…

选择两个二项总体中较优者的序贯抽样程序比较AI 解读

A comparison is made between play-the-winner sampling and vector-at-a-time sampling for selecting the better of two binomial populations when the selection requirement is defined in terms of the ratio of the single trial probabilities of success rather than the difference. Thus the probability of correct selection is to be at least P* when the true ratio of probabilities of success θ is at least θ*, where P* and θ* are prescribed. Termination rules based on the difference in…

选择较优二项总体的序贯抽样程序比较AI 解读

A comparison is made between play-the-winner sampling and vector-at-a-time sampling for selecting the better of two binomial populations when the selection requirement is defined in terms of the ratio of the single trial probabilities of success rather than the difference. Thus the probability of correct selection is to be at least P* when the true ratio of probabilities of success θ is at least θ*, where P* and θ* are prescribed. Termination rules based on the difference in…

摘要暂缺

滑移配置下负二项分布次序统计量的若干结果AI 解读

The order statistics of independent negative binomial random variables are considered for the case of a slippage configuration. A recurrence relation which expresses moments of the distributions of general order statistics in terms of moments of distributions of smallest order statistics is presented. Moments of the distribution of the smallest order statistic of negative binomial variables are considered in detail and some approximations are presented.

偏移配置下负二项分布次序统计量的若干结果AI 解读

The order statistics of independent negative binomial random variables are considered for the case of a slippage configuration. A recurrence relation which expresses moments of the distributions of general order statistics in terms of moments of distributions of smallest order statistics is presented. Moments of the distribution of the smallest order statistic of negative binomial variables are considered in detail and some approximations are presented.

Lehmann 备择下若干两样本删失秩统计量的分布AI 解读

The distributions of some two-sample rank statistics under the Lehmann alternatives are considered for the case when sampling is censored on the occurrence of a given order statistic Some results are presented for the power of the median and precedence tests and the distributions of a modified Wilcoxon statistic and the censored one-sided Smirnov statistic.

勘误与修订：基于给定次序统计量的删失双样本检验功效研究AI 解读

D. H. YOUNG; Corrections and Amendments: ‘Consideration of power for some two-sample tests with censoring based on a given order statistia’, Biometrika, Volume

摘要暂缺

标准化伽马分布与逆多项分布次序统计量的矩关系AI 解读

Simple moment relations for the order statistics of independent standardized gamma variables and the order statistics of the symmetrical inverse multinomial distribution are presented. Some asymptotic expressions for the moments are also given and compared.

标准化伽马分布与逆多项分布次序统计量的矩关系AI 解读

Simple moment relations for the order statistics of independent standardized gamma variables and the order statistics of the symmetrical inverse multinomial distribution are presented. Some asymptotic expressions for the moments are also given and compared.

按给定次序统计量删失的若干两样本检验之功效AI 解读

This paper deals with some properties of three nonparametrio tests which can be used for detecting a difference in location of two populations when samples are censored on the occurrence of a given order statistic. The null distributions of the test statistics are presented together with some tables of critical values. Exact expressions are obtained for the powers of the tests under exponential and rectangular alternatives. Finally, the expected durations of the tests are…

负二项分布的次序统计量AI 解读

The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the distributions of the order statistics are given. These have been used to provide tables of the expected values of the order statistics. Finally, two limiting distributions are presented and moment approximations based on one of them are evaluated.

负二项分布的次序统计量AI 解读

The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the distributions of the order statistics are given. These have been used to provide tables of the expected values of the order statistics. Finally, two limiting distributions are presented and moment approximations based on one of them are evaluated.

基于指定次序统计量删失的若干两样本检验的功效研究AI 解读

This paper deals with some properties of three nonparametrio tests which can be used for detecting a difference in location of two populations when samples are censored on the occurrence of a given order statistic. The null distributions of the test statistics are presented together with some tables of critical values. Exact expressions are obtained for the powers of the tests under exponential and rectangular alternatives. Finally, the expected durations of the tests are…

杂记：一个序贯占位问题的注记AI 解读

A generalized form of the classical sequential occupancy problem is considered in which balls are dropped randomly and independently into k compartments until there are 8 full compartments, each containing at least m balls. Expressions are given for the p.g.f., moments, and percentage points of the distribution of the sequential sample number and a limiting distribution is presented.

摘要暂缺

相依变量次序统计量密度的递推关系及应用AI 解读

This paper deals with recurrence relations for P.D.F.'s and moments of correlated random variables. Some applications to distributions of ordered correlated normal variables and correlatad F-ratios are considered.