A new median based ratio estimator for estimation of the finite  population mean

J.  Subramani

doi:https://doi.org/10.59170/stattrans-2016-033

A new median based ratio estimator for estimation of the finite population mean

J. Subramani Department of Statistics, Pondicherry University, R. V. Nagar, Kalapet, Puducherry – 605 014, India. Statistics in Transition new series, vol. 17, 2016, 4, pages: 591-604 Published online: 1 December 2016 https://doi.org/10.59170/stattrans-2016-033

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ABSTRACT

The present paper deals with a new median based ratio estimator for the estimation of finite population means in the absence of an auxiliary variable. The bias and mean squared error of the proposed median based ratio estimator are obtained. The performance of the median based ratio estimator is compared with that of the SRSWOR sample mean, ratio estimator and linear regression estimator for certain natural population. It is shown from the numerical comparisons that the proposed median based ratio estimator outperforms the SRSWOR sample mean, ratio estimator and also the linear regression estimator.

KEYWORDS

bias, linear regression estimator, mean squared error, natural population, simple random sampling.

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