An Efficient Scrambled Estimator of Population Mean of Quantitative Sensitive Variable Using General Linear Transformation of Non-sensitive Auxiliary Variable

被引：4
作者：
Grover, Lovleen Kumar [1 ]
Kaur, Amanpreet [1 ]
机构：
[1] Guru Nanak Dev Univ, Dept Math, Amritsar 143005, Punjab, India
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2019年 / 7卷 / 04期
关键词：
Bias; Efficiency; Non-sensitive auxiliary variable; Randomized response technique; Scrambled estimator; Sensitive study variable; Simple random sampling without replacement; Percent relative efficiency; RANDOMIZED-RESPONSE; RATIO ESTIMATION;
D O I：
10.1007/s40304-018-0146-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we propose an efficient scrambled estimator of population mean of quantitative sensitive study variable, using general linear transformation of nonsensitive auxiliary variable. Efficiency comparisons with the existing estimators have been carried out both theoretically and numerically. It has been found that our optimal scrambled estimator is always more efficient than most of the existing scrambled estimators and also it is more efficient than few other scrambled estimators under some conditions.
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页码：401 / 415
页数：15
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