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ARPN Journal of Science and Technology >> Volume 7, Issue 1, January 2017

ARPN Journal of Science and Technology


A Note on the Variance Estimation of Ratio Estimator

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Author N.R. Das, R.K. Nayak, L.N. Sahoo
ISSN 2225-7217
On Pages 229-235
Volume No. 3
Issue No. 2
Issue Date March 01, 2013
Publishing Date March 01, 2013
Keywords Auxiliary variable, confidence interval, efficiency, prediction approach, ratio estimator, stability



Abstract

The present paper is concerned with the estimation of variance of the ratio estimator under simple random sampling. Following techniques adopted earlier for the estimation of finite population variance under classical as well as predictive approach, we formulate some new estimators for the approximate variance of the classical ratio estimator. It is assumed that the population mean and variance of the auxiliary variable are known prior to sampling. A simulation study has been undertaken for evaluating relative performance of the suggested variance estimators in respect of efficiency, coverage rate based on 95% confidence interval and stability.


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