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Jackknife estimators of a relative risk in 2×2 and 2×2×K contingency tables

机译:2×2和2×2× K 列联表中相对风险的折刀估计量

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摘要

Several jackknife estimators of a relative risk in a single 2×2 contingency table and of a common relative risk in a 2×2×K contingency table are presented. The estimators are based on the maximum likelihood estimator in a single table and on an estimator proposed by Tarone (1981) for stratified samples, respectively. For the stratified case, a sampling scheme is assumed where the number of observations within each table tends to infinity but the number of tables remains fixed. The asymptotic properties of the above estimators are derived. Especially, we present two general results which under certain regularity conditions yield consistency and asymptotic normality of every jackknife estimator of a bunch of functions of binomial probabilities.
机译:给出了单个2×2列联表中的相对风险和2×2×K列联表中的常见相对风险的几种折刀估计器。估计量分别基于单个表中的最大似然估计量和Tarone(1981)为分层样本提出的估计量。对于分层情况,假设采用一种采样方案,其中每个表中的观察数趋于无穷大,但表数保持固定。推导了上述估计量的渐近性质。特别是,我们提出了两个一般结果,它们在一定的规律性条件下产生了二项式概率函数的每个折刀估计的一致性和渐近正态性。

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