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On the Robustness to Measurement Error of Tests for Exponentiality

指数分布检验对测量误差的稳健性

We investigate the robustness to rounding and truncation measurement error of several scale-free goodness-of-fit tests for exponentiality. Moran's statistic is so sensitive to rounding and truncation error as to be potentially misleading in practice. Tests based on the sample Lorenz curve, Gini's statistic and the Shapiro-Wilk test are remarkably insensitive to rounding errors and relatively insensitive to truncation errors. Other tests exhibit intermediate sensitivity to…

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Early Decision in a Censored Wilcoxon Two-Sample Test for Accumulating Survival Data

累积生存数据的删失 Wilcoxon 两样本检验中的提前决策

For two-sample testing problems, in which observations are collected in order of size, Ailing [1] showed that it is possible to determine the outcome of an uncensored Wilcoxon test well before data collection is complete. This article studies a similar problem for a censoring scheme terminating the experiment when a specified percentage of events has occurred in either group. The asymptotic distributions (null and nonnull) of the test statistic (of Wilcoxon type) and of the…

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