A CLASS OF ESTIMATORS FOR ESTIMATING THE POPULATION MEAN AND VARIANCE USING AUXILIARY INFORMATION UNDER ADOPTIVE CLUSTER SAMPLING IN SAMPLE SURVEYS

Housila P Singh; Anita Yadav

doi:10.48165/

Authors

Housila P Singh School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India
Anita Yadav School of Studies in Statistics, Vikram University, Ujjain, Madhya Pradesh 456010, India

DOI:

https://doi.org/10.48165/

Keywords:

Finite population, study variable, auxiliary variable, Bias and Mean squared error, adoptive cluster sampling

Abstract

For estimating the mean of finite population using information on an auxiliary variable we define the classes of estimators under adoptive cluster sampling in this paper. Expressions for their biases and mean squared errors are obtained under large sample approximation. The minimum mean squared errors of each class of estimators are also given. A similar class of estimators is defined for the variance of the estimator of the mean. A condition is obtained under which the proposed class of estimators of the variance of the estimator is minimum.

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