Improved estimation of population mean in presence of nonresponse and measurement error

被引:18
作者
Kumar S. [1 ]
机构
[1] General Management, Alliance University, Bengaluru
关键词
auxiliary variable; bias; mean squared error; measurement error; nonresponse; Study variable;
D O I
10.1080/15598608.2016.1216488
中图分类号
学科分类号
摘要
The methodology of estimation of population mean in the presence of one of the nonsampling errors has advanced considerably in recent years. Nevertheless, most research in this area has addressed the estimation of population mean in the presence of nonresponse and measurement error independently. In this article, I present a new estimator by considering two kinds of nonresponse error, namely, nonresponse and measurement error, by using auxiliary information. Theoretically and empirically, it has been shown that the proposed estimator is more efficient than usual unbiased estimator and other existing estimators. © 2016 Grace Scientific Publishing, LLC.
引用
收藏
页码:707 / 720
页数:13
相关论文
共 33 条
[1]  
Allen J., Singh H.P., Smarandache F., A family of estimators of population mean using multi-auxiliary information in presence of measurement errors, International Journal of Social Economics, 30, 7, pp. 837-848, (2003)
[2]  
Azeem M., On estimation of population mean in the presence of measurement error and non-response, (2014)
[3]  
Biemer P.P., Nonresponse bias and measurement bias in a comparison of face to face and telephone interviewing, Journal of Official Statistics, 17, pp. 295-320, (2001)
[4]  
Cochran W.G., Sampling techniques, (1963)
[5]  
Cochran W.G., Sampling techniques, (1977)
[6]  
Gregoire T.G., Salas C., Ratio estimation with measurement error in the auxiliary variate, Biometrics, 65, pp. 590-598, (2009)
[7]  
Hansen M.H., Hurwitz W.N., The problem of non-response in sample surveys, Journal of the American Statistical Association, 41, pp. 517-529, (1946)
[8]  
Kumar S., Ratio cum regression estimator for estimating population mean with sub sampling of non-respondents, Communications of the Korean Statistical Society, 19, 5, pp. 663-671, (2012)
[9]  
Kumar S., Estimation of the ratio, product and mean using multi auxiliary variables in the presence of non-response, Chilean Journal of Statistics, 5, 1, pp. 49-72, (2014)
[10]  
Kumar S., Efficient use of auxiliary information in estimating the population ratio, product and mean in the presence of non-response, Journal of Advanced Computing, 4, 2, pp. 59-67, (2015)