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随机转移矩阵的比较及其在信息论、统计学、经济学与人口科学中的应用AI 解读

Part 1 Partial orderings among stochastic matrices, Joel E. Cohen et al: introduction notation and definitions generalizations of classical channel comparisons degradation is the same as increasing density Shannon's inclusion implies smaller capacity a simple case - matrices A and B haver only two columns open problems. Part 2 Divergence and contraction coefficients, Gh. Zbaganu: introduction, definitions and notations a generalization of an inequality of Dobrushin the…

列联表聚类抽样下卡方统计量的分布AI 解读

When the entries in a contingency table arise from clustered sampling, the chi-squared statistic conventionally calculated to testsimple and complex hypotheses about the parameters of the table may not have the distribution of a χ2 variate. Assuming a model for positively associated clustering, this article finds the distribution of the conventional chi-squared statistic and shows how to correct it to an asymptotically χ2 variate. A numerical example from the epidemiology of…