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：2009
卷号：2
期号：2
页码：59-66
出版社：Ankur Printing Palace
摘要：The generalized ratio type estimator for estimating the mean or total of finite populationproposed by Walsh (1970) is reconsidered following Midzuno-Lahiri-Sen type sampling scheme.The unbiasedness of the generalized ratio estimator under the proposed Midzuno-Lahiri-Sen typesampling scheme is established and the expression of mean square error of the generalized ratioestimator under the proposed Midzuno-Lahiri-Sen type sampling scheme is derived. Further theoptimum value of the parameter involved and the minimum mean square error under thisoptimum value of the parameter are also given. A comparative study of the proposed samplingstrategy as compared to mean per unit estimator, ratio estimator, product estimator, linearregression estimator and generalized ratio estimator (Walsh) is made. The concluding remarksshow that using suitable range information we can get estimators which under the proposedMidzuno-Lahiri-Sen type sampling scheme are better than the usual mean per unit estimator,ratio estimator, product estimator, linear regression estimator and generalized ratio estimator(Walsh) in the sense of unbiasedness and smaller mean square error. Finally an empirical study isincluded for illustration
关键词：Ratio type estimator; simple random sampling; Midzuno-Lahiri-Sen type;sampling scheme; unbiasedness; mean square error; range prior information
