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仅核实筛查阳性者疾病状态时的双诊断检验捕获—再捕获方法AI 解读

The article considers screening human populations with two screening tests. If any of the two tests is positive, then full evaluation of the disease status is undertaken; however, if both diagnostic tests are negative, then disease status remains unknown. This procedure leads to a data constellation in which, for each disease status, the 2 × 2 table associated with the two diagnostic tests used in screening has exactly one empty, unknown cell. To estimate the unobserved cell…

混合模型的似然推断：单调步长算法的几何及其他构造AI 解读

This paper considers algorithms for the maximum likelihood estimator of the mixing distribution of a family of parametric densities. Specific interest is devoted to the monotonicity of the step-length of the solution. In ξ 2 we introduce the idea of estimating the area above the second derivative curve, and in Theorem 1 we relate area-overestimation to the monotonicity of the associated algorithm. In ξ 3 we apply Theorem 1 to the monotonicity analysis of well-known…