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Interval Estimation of Location Difference with Incomplete Data

不完整数据下位置差的区间估计

An asymptotically distribution-free confidence interval for the location difference of two correlated variables with incomplete data on both responses is proposed. The confidence limit has an explicit form and can be easily obtained. The new procedure is also shown to be more robust than other known parametric interval estimators.

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Asymptotically Distribution-Free Simultaneous Confidence Region of Treatment Differences in a Randomized Complete Block Design

随机完全区组设计中处理差异的渐近分布无关同时置信域

Summary For a randomized complete block design with additive block effects, an asymptotically distribution-free simultaneous confidence region of pairwise treatment differences is presented. The corresponding confidence bound has an explicit form and is easily obtained. Asymptotic relative efficiency comparisons with other known confidence regions are made to show the advantage of the proposed procedure. The case of treatment against control is also discussed.

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Estimation of the ratio of scale parameters in the two sample problem with arbitrary right censorship

任意右删失两样本问题中尺度参数比的估计

A two-sample version of the Cramér-von Mises statistic for right censored observations is used to obtain a strongly consistent estimator of the ratio of scale parameters of two distributions. This estimator can be easily obtained in a closed form. Under various survival models, simulation studies are performed to show the advantages of the proposed estimator.

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Interval estimation of location difference with incomplete data

不完整数据下位置差的区间估计

An asymptotically distribution-free confidence interval for the location difference of two correlated variables with incomplete data on both responses is proposed. The confidence limit has an explicit form and can be easily obtained. The new procedure is also shown to be more robust than other known parametric interval estimators.

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Asymptotic Conservativeness and Efficiency of Kruskal-Wallis Test for K Dependent Samples

相依多样本下 Kruskal–Wallis 检验的渐近保守性与效率

The robustness (asymptotic conservativeness) of Kruskal-Wallis test under certain departures from mutual independence of K univariate samples is established. This robustness provides a procedure for testing the equality of K marginal distribution functions based on a broken random sample from a K-variate distribution that satisfies a mild condition. For the unbroken sample, a generalized Kruskal-Wallis (KW) test is proposed for testing the symmetry of a K-dimensional…

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Asymptotic Conservativeness and Efficiency of Kruskal-Wallis Test for K Dependent Samples

相关样本下 Kruskal–Wallis 检验的渐近保守性与效率

The robustness (asymptotic conservativeness) of Kruskal-Wallis test under certain departures from mutual independence of K univariate samples is established. This robustness provides a procedure for testing the equality of K marginal distribution functions on a broken random sample from a K-variate distribution which satisfies a mild condition. For the unbroken sample, a generalized Kruskal-Wallis test is proposed for testing the symmetry of a K-dimensional distribution…

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Estimation of Location Difference for Fragmentary Samples

不完整样本中位置参数差的估计

A class of simple and robust estimators of the difference between location parameters of correlated variables is proposed when some observations on either of the variables are missing. We show that these estimators are consistent, asymptotically normally distributed, and insensitive to outlying observations. Asymptotic relative efficiency comparisons with other known estimators are made to show the advantage of the proposed estimators.

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Estimation of location difference for fragmentary samples

不完整样本中位置参数差异的估计

A class of simple and robust estimators of the difference between location parameters of correlated variables is proposed when some observations on either of the variables are missing. We show that these estimators are consistent, asymptotically normally distributed, and insensitive to outlying observations. Asymptotic relative efficiency comparisons with other known estimators are made to show the advantage of the proposed estimators.

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A Generalized Gehan and Gilbert Test for Paired Observations that are Subject to Arbitrary Right Censorship

任意右删失配对观测的广义 Gehan–Gilbert 检验

An asymptotically distribution-free test, along the line of Gehan (1965) and Gilbert (1962), for paired observations that are subject to arbitrary right censorship is proposed. This test is shown to be more powerful than the sign test under a bivariate exponential model.

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Maximum Likelihood Estimation of a Distribution Function with Increasing Failure Rate Based on Censored Observations

右删失观测下递增失效率分布函数的最大似然估计

The maximum likelihood estimator of a distribution function with increasing failure rate is derived based on a set of observations subject to arbitrary right censorship. This estimator is defined everywhere on the positive real line while the Kaplan-Meier estimator may not be. The small sample properties of this estimator are indicated by results of a Monte Carlo study for the Weibull distribution.

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A Test of the Parameter of the Exponential Distribution in the Type I Censoring Case

第一类删失下指数分布参数的检验

Consider a life-testing experiment subject to Type I censoring, where m items are put on test at the outset and are not replaced on failure. Assume an exponential failure distribution F(t) = 1 – exp (– t/θ). A test of H 0: θ ≥ ξ versus H 1: θ < ξ based on the maximum likelihood estimator of θ is proposed. It is shown that early termination of the test resulting in either acceptance or rejection of H 0 is possible. Critical points are presented. The test is shown to compare…

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Maximum likelihood estimation of a distribution function with increasing failure rate based on censored observations

右删失观测下递增失效率分布函数的最大似然估计

The maximum likelihood estimator of a distribution function with increasing failure rate is derived based on a set of observations subject to arbitrary right censorship. This estimator is defined everywhere on the positive real line while the Kaplan-Meier estimator may not be. The small sample properties of this estimator are indicated by results of a Monte Carlo study for the Weibull distribution.

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The Randomized Play-the-Winner Rule in Medical Trials

医学试验中的随机化“胜者续用”规则

In a sequential medical trial, a simple randomized treatment assignment rule is proposed and analyzed. On the average this rule assigns more patients to the better treatment, and it is applicable to the case where patients have delayed responses to treatments. This new assignment rule is studied for both a fixed sample size and an inverse stopping rule.

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An Application of an Urn Model to the Design of Sequential Controlled Clinical Trials

瓮模型在序贯对照临床试验设计中的应用

In the comparison of K treatments, assume that patients appear singly and must be treated immediately. Suppose that patients having the same combination of prognostic factor levels are grouped into the same stratum. If the number of different strata is small, we treat each stratum as a separate independent subtrial. A treatment assignment rule is proposed that forces a small subtrial to be balanced, but tends toward the complete randomization scheme as the size of the…

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The Adaptive Biased Coin Design for Sequential Experiments

序贯实验的自适应偏币设计

In comparing two treatments, eligible subjects come to the experiment sequentially and must be treated at once. To reduce experimental bias and to increase the precision of inference about treatment effects, the adaptive biased coin design, which offers a compromise between perfect balance and complete randomization, is proposed and analyzed. This new design has the property that it forces a small-sized experiment to be balanced, but tends toward the complete randomization…

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On the random allocation design for the control of selection bias in sequential experiments

序贯实验中控制选择偏差的随机分配设计

In comparing two treatments, suppose that eligible subjects come to the experiment sequentially and must be treated immediately. In this paper we assume that the experimenter selects 2n subjects and treat n subjects with each treatment. If, during the experiment, the experimenter knows or guesses which treatment is to be administered next, he may bias the experiment by his selection of subjects. The problem is how to control this bias through choice of design. In this paper,…

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