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      저자 : Grover Lovleen Kumar (검색결과 2 건)
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      • SCIE

        EFFICIENT ESTIMATION OF POPULATION MEAN IN STRATIFIED SAMPLING USING REGRESSION TYPE ESTIMATOR

        Grover Lovleen Kumar The Korean Statistical Society 2006 Journal of the Korean Statistical Society Vol.35 No.4

        Here an efficient regression type estimator for a stratified population mean is proposed under the two-phase sampling scheme. While constructing the proposed estimator, it is assumed that the first auxiliary variable x is directly and highly correlated with the study variable y, and the second auxiliary variable z is directly and highly correlated with the first auxiliary variable x. However the variable z is not directly correlated with the variable y, but they are just correlated with each other only due to their direct and high correlation with the variable x. The proposed regression type estimator is found to be always more efficient than the existing estimators defined under the same situation.

      • KCI등재

        Efficient Estimation of Population Mean in Stratified Sampling Using Regression Type Estimator

        Lovleen Kumar Grover 한국통계학회 2006 Journal of the Korean Statistical Society Vol.35 No.4

        Here an ecient regression type estimator for a stratied populationmean is proposed under the two-phase sampling scheme. While constructingthe proposed estimator, it is assumed that the rst auxiliary variablex isdirectly and highly correlated with the study variabley, and the secondauxiliary variable z is directly and highly correlated with the rst auxiliaryvariablex. However the variablez is not directly correlated with the variabley, but they are just correlated with each other only due to their direct andhigh correlation with the variablex. The proposed regression type estimatoris found to be always more ecient than the existing estimators denedunder the same situation.AMS 2000 subject classications.Primary 62D05; Secondary 94A20.Keywords.Auxiliary variable, regression type estimator, simple random sampling with-out replacement, study variable, two-phase sampling scheme, variance.1. Introduction of Use of Regression Type Estimators inStratified SamplingIn practice, the populations often consist of heterogeneous units with respectto the variable under study. So in such situations, it may be necessary to di-vide the whole population into several non-overlapping sub-populations (calledstrata), which are approximately homogenous in nature with respect to the vari-able under study. In order to estimate the population parameter of interest,samples of predetermined sizes are drawn independently from each stratum byusing simple random sampling with or without replacement. Since a stratiedsample consists of units selected separately from each stratum therefore such aReceived March 2006; accepted August 2006.

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