Improved estimators for simple random sampling and  stratified random sampling under second order of approximation

Prayas Sharma; Rajesh Singh

doi:https://doi.org/10.59170/stattrans-2013-024

Improved estimators for simple random sampling and stratified random sampling under second order of approximation

Prayas Sharma Department of Statistics, Banaras Hindu University. Varanasi-221005, India , Rajesh Singh Department of Statistics, Banaras Hindu University. Varanasi-221005, India Statistics in Transition new series, vol. 14, 2013, 3, pages: 379-390 Published online: 2 September 2013 https://doi.org/10.59170/stattrans-2013-024

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ABSTRACT

Singh and Solanki (2012) and Koyuncu (2012) proposed estimators for estimating population mean Y. Up to the first order of approximation and under optimum conditions, the minimum mean squared error of both the estimators is equal to the MSE of the regression estimator. In this paper, we have tried to find out the second order biases and mean square errors of these estimators using information on auxiliary variable based on simple random sampling. Finally, we have compared the performance of these estimators with some numerical illustration

KEYWORDS

simple random sampling, stratified random sampling, population mean, study variable, exponential ratio type estimators, bias and MSE.

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