Improvement in variance estimation in simple random sampling

被引：28
作者：
Kadilar, Cem [1 ]
Cingi, Hulya [1 ]
机构：
[1] Hacettepe Univ, Dept Stat, Ankara, Turkey
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2007年 / 36卷 / 9-12期
关键词：
auxiliary information; bias; efficiency; mean square error; ratio estimator; regression estimator; variance estimator;
D O I：
10.1080/03610920601144046
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：
We propose a new estimator for the population variance using an auxiliary variable in simple random sampling and obtain the equations for its mean square error (MSE) and bias. In addition, theoretically, we show that the proposed estimator is more efficient than the traditional ratio and regression estimators, suggested by Isaki (1983), under certain conditions that are defined in this article. These conditions are satisfied with a numerical example.
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页码：2075 / 2081
页数：7
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