
doi: 10.1007/bf03178902
Summary: This paper considers the asymptotic theory of estimating odds ratios in \(k\) tables when there is uncertain prior information about homogeneity constraint on them. Using a preliminary test approach, we propose seven estimators and study their properties of asymptotic dominance under local alternatives. In the process, we propose a Wald-type test statistic for testing homogeneity and obtain its asymptotic distribution under local alternatives.
odds-ratio estimation, asymptotic distributional quadratic risk, shrinkage estimators, Asymptotic distribution theory in statistics, Estimation in multivariate analysis, preliminary test estimators, Contingency tables, asymptotic admissibility, Asymptotic properties of parametric estimators
odds-ratio estimation, asymptotic distributional quadratic risk, shrinkage estimators, Asymptotic distribution theory in statistics, Estimation in multivariate analysis, preliminary test estimators, Contingency tables, asymptotic admissibility, Asymptotic properties of parametric estimators
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