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

U. Gather, S. Köhne and I. Pigeot

Statistica Neerlandica, 1999, vol. 53, issue 2, 178-196

Abstract: 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.

Date: 1999
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