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两样本比较：t检验、秩和检验与对数秩检验的扩展AI 解读

I consider the problem of testing that two populations are identical with respect to the distribution of a continuous variable against the alternative that values tend to be larger in one population. I observe that the t, rank-sum, and log-rank tests are insensitive for a large class of alternatives that may be expected to occur commonly in practice, propose a criterion for identifying this problem in a particular data set, and propose corresponding extensions of the…

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多元序列相关的似然检验AI 解读

A procedure is proposed for testing the hypothesis that a sequence of vector-valued random variables is mutually independent. The test is based on the likelihood criterion for first-order autocorrelation assuming a multivariate normal distribution, is simple computationally, and provides a multivariate generalization of the serial correlation coefficient. The distribution of the test statistic is found to be closely approximated by an F distribution, even in samples of size…