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Logistic函数的上下概率推断AI 解读

A general system of inference which leads to upper and lower posterior distributions based on sample data has been proposed by Dempster (1967). This general theory of inference is applied to the two-parameter logistic function, given the data from independent binomial populations. Inferences are developed for fixed regions about the two parameters and about interesting combinations of these parameters. The resulting upper and lower probabilities are generated by a random…

泊松过程的上、下概率推断AI 解读

A general system of inference which leads to upper and lower posterior distributions has been proposed by Dempster (1966, 1968a, 1968b). This general theory of inference is applied to various estimation problems arising in Poisson processes. In particular, the emphasis is on the estimation of the parameter of the process and on the prediction of the number of future events, given the observed data. In this article, all upper and lower probability inferences are generated by…

泊松过程的上、下概率推断AI 解读

A general system of inference which leads to upper and lower posterior distributions has been proposed by Dempster (1966, 1968a, 1968b). This general theory of inference is applied to various estimation problems arising in Poisson processes. In particular, the emphasis is on the estimation of the parameter of the process and on the prediction of the number of future events, given the observed data. In this article, all upper and lower probability inferences are generated by…

删除极端观测对后 Kendall 秩相关估计量的偏差AI 解读

This article obtains the average effect on the estimator of Kendall's rank correlation coefficient when extreme pairs are removed from a sample. Formulas, which are functions of Sterling numbers of the second kind, are derived for this bias. The exact bias, and an approximation, are tabulated for n = 3(1) 19.

删除样本中的极端观测对时 Kendall 秩相关估计的偏差AI 解读

This article obtains the average effect on the estimator of Kendall's rank correlation coefficient when extreme pairs are removed from a sample. Formulas, which are functions of Sterling numbers of the second kind, are derived for this bias. The exact bias, and an approximation, are tabulated for n = 3(1) 19.