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半参数关联模型的渐近推断AI 解读

Association models for a pair of random elements X and Y (e.g., vectors) are considered which specify the odds ratio function up to an unknown parameter θ. These models are shown to be semiparametric in the sense that they do not restrict the marginal distributions of X and Y. Inference for the odds ratio parameter θ may be obtained from sampling either Y conditionally on X or vice versa. Generalizing results from Prentice and Pyke, Weinberg and Wacholder and Scott and Wild,…

大自由度多项模型的正态拟合优度检验AI 解读

Goodness-of-fit tests for independent multinomials with parameters to be estimated are usually based on Pearson's X 2 or the likelihood ratio G 2. Both are included in the family of power-divergence statistics SD λ. For increasing sample sizes each SD λ has an asymptotic X 2 distribution, provided that the number of cells remains fixed. We are dealing with an increasing-cells approach, where the number J of independent multinomials increases while the number of classes for…