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指数分布变量的序列相关检验AI 解读

This paper considers the testing of serial correlation coefficients when the underlying distribution is negative exponential. The first-order serial correlation coefficient is shown to be an asymptotically most powerful test criterion for certain plausible alternative hypotheses. The mean of its distribution, assuming independence, is known and a bound and estimate for its variance are obtained. These are compared with sampling results of D. R. Cox. The distribution of the…

区间的随机分割：第二部分AI 解读

Summary In a previous paper the theory of a test for the random distribution of events in time was considered. In the present paper a model is set up for a process in which events occur in time in a dependant manner. Using this model as an alternative hypothesis the asymptotic efficiency of the previously considered test is compared with that of a test proposed by M. S. Bartlett and it is found that the latter is considerably more efficient as well as being easier to use.

时间序列若干定理（二）：序列相关系数的显著性AI 解读

P. A. P. MORAN; SOME THEOREMS ON TIME SERIES II. THE SIGNIFICANCE OF THE SERIAL CORRELATION COEFFICIENT*, Biometrika, Volume 35, Issue 3-4, 1 December 1948, Pag