期刊名称:Journal of Reliability and Statistical Studies
印刷版ISSN:0974-8024
电子版ISSN:2229-5666
出版年度:2013
卷号:6
期号:1
页码:59-67
出版社:Ankur Printing Palace
摘要:In this paper,we are utilizing the modified regression approach for the prediction of finite population mean, with known coefficient of variation of study variabley, under simple random sampling without replacement. The bias and mean square error of the proposed estimator are obtained and compared with the usual regression estimator of the population mean and comes out to be more efficient in the sense of having lesser mean square error. The optimum class of estimators is obtained and for the greater practical utility proposed optimum estimator based on estimated optimum value of the characterizing scalar is also obtained and is shown to retain the same efficiency to the first order of approximation as the former one. A numerical illustration is also given to support the theoretical conclusions
关键词:Regression estimator; Prediction; Predictor; Coefficient of variation; Bias; Mean ;square error; Auxiliary variable; Relative ;e;fficiency; Simple ;r;andom ;s;ampling;Effective ;s;ample ;s;ize