Generalized-Type Calibration Estimator of Population Mean in   Stratified Random Sampling

Manoj Kumar Chaudhary; Basant Kumar Ray; G.K. Vishwakarma

doi:10.56093/jisas.v77i03.171460

Authors

Manoj Kumar Chaudhary Banaras Hindu University, Varanasi
Basant Kumar Ray Banaras Hindu University, Varanasi
G.K. Vishwakarma Banaras Hindu University, Varanasi

https://doi.org/10.56093/jisas.v77i03.171460

Keywords:

Generalized-type calibration estimator; Population mean; Stratified random sampling, Auxiliary information; Chi-square distance.

Abstract

In the present paper, we have suggested a generalized-type calibration estimator for estimating the population mean in stratified random sampling. We have pioneered out the generalized-type calibration estimator using chi-square type distance function subject to the calibration constraints based on a single auxiliary variable. The new set of stratum weights is chosen such that the chi-square type distance would be minimized under the given calibration constraints. One can derive a number of existing calibration estimators and some new calibration estimators of the mean of a stratified population using the suggested generalized-type calibration estimator. Some special cases of the suggested generalized-type calibration estimator have been discussed in detail. A simulation study has also been carried out to strengthen the performance of the suggested generalized-type calibration estimator

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