A NECESSARY AND SUFFICIENT CONDITION FOR THE STRONG CONSISTENCY OF A FAMILY OF ESTIMATORS OF THE COMMON ODDS RATIO

被引：1

作者：

YU, KF ^{[1
]}

机构：

[1] NICHHD,DIV EPIDEMIOL STAT & PREVENT RES,BETHESDA,MD 20892

来源：

CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE | 1995年 / 23卷 / 02期

关键词：

ODDS RATIO; SPARSE TABLES; STRONG CONSISTENCY; ASYMPTOTIC NORMALITY;

D O I：

10.2307/3315446

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A family of easily computable estimators of the odds ratio of a number of two-by-two contingency tables is proposed. It includes the well-known Mantel-Haenszel estimator as a special case. A necessary and sufficient condition is given for the strong consistency of the estimators for the case when the tables are sparse and the number of tables becomes large. The condition also ensures the asymptotic normality of this family of estimators. A family of consistent estimators is proposed for the variances of the asymptotic distributions. In the case of the Mantel-Haenszel estimator, the validity of Breslow's (1981, Biometrika) condition for the consistency and asymptotic normality is questioned. Examples are given to demonstrate that it is neither necessary nor sufficient for the consistency of the Mantel-Haenszel estimator.

引用

页码：215 / 225

页数：11