A CLASS OF MODIFIED LINEAR REGRESSION ESTIMATORS FOR ESTIMATION OF FINITE POPULATION MEAN

  • J. Subramani Department of Statistics Ramanujan School of Mathematical Sciences Pondicherry University, Puducherry – 605014, India
  • G. Kumarapandiyan Department of Statistics Ramanujan School of Mathematical Sciences Pondicherry University, Puducherry – 605014, India
Keywords: Auxiliary variable, Mean squared error, Modified ratio estimators, Simple random sampling

Abstract

In recent times, a large number of modified ratio estimators are introduced by assuming various population parameters are known. In the same direction we have suggested a class of modified linear regression estimators which are unbiased. We have derived their variances together with the values for which the proposed class of estimators perform better than the usual linear regression estimator and existing modified ratio type estimators. Further we have shown that the estimators from SRSWOR sample and the linear regression estimator are the particular cases of the proposed estimators. The performances of these proposed estimators are also assessed with that of linear regression estimator and some of the existing ratio type estimators for certain natural populations available in the literature. It is observed from the numerical comparisons that the proposed estimators perform better than the existing estimators and linear regression estimator.

 

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Published
2012-04-17
Section
Articles