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风险与生存分析中特定发生／暴露率的非参数估计AI 解读

A cohort of individuals exposed to some risk is followed up to a point of time M, and observations on two random variables (Y, Δ) are recorded for each individual. The variable Δ refers to one of the four possible events that can occur for an individual in the period [0, M]: (i) dies of a specific disease, say cancer, (ii) dies of a natural cause, (iii) withdraws from the study, and (iv) is alive and still under study at time M. The variable Y refers to the time at which an…

亲代与子代相关系数的估计AI 解读

When families have different numbers of offspring, Srivastava (1984) provided an easily computable estimator as an alternative to the maximum likelihood estimator of parent-offspring correlation. Some properties of this estimator are discussed vis-à-vis with those of ensemble and pairwise estimators. Further, we derive the small sample distribution of Srivastava's estimator under the assumption of null parent-offspring correlation. In the process, we demonstrate that a…