Indian Journal of Science and Technology

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A Class of Predictive Estimators in Two-stage Design when Auxiliary Character is Estimated


Affiliations
1 School of Mathematics & Computer Applications Thapar University, Patiala: 147001, India
 

This paper presents a class of predictive estimators for two stage sampling with unequal first and second stage units to the case where information on auxiliary character is not available. A double sampling procedure is proposed as alternative under such a situation. The proposed class consists of mainly two estimators namely Ratio and Regression. The mean square error (MSE) and minimum mean square of this class have been derived. In addition, we support these theoretical results by an empirical study.

Keywords

Double Sampling, Finite Population, Predictive Estimators, Two-stage Sampling
User

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  • A Class of Predictive Estimators in Two-stage Design when Auxiliary Character is Estimated

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Authors

Monika Saini
School of Mathematics & Computer Applications Thapar University, Patiala: 147001, India

Abstract


This paper presents a class of predictive estimators for two stage sampling with unequal first and second stage units to the case where information on auxiliary character is not available. A double sampling procedure is proposed as alternative under such a situation. The proposed class consists of mainly two estimators namely Ratio and Regression. The mean square error (MSE) and minimum mean square of this class have been derived. In addition, we support these theoretical results by an empirical study.

Keywords


Double Sampling, Finite Population, Predictive Estimators, Two-stage Sampling

References





DOI: https://doi.org/10.17485/ijst%2F2013%2Fv6i3%2F31229