A Note on the Hartley-Ross Unbiased Ratio Estimator

Rao, T. J.; Swain, Anil Kumar

doi:10.1080/03610926.2012.691338

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Cited by 2 publications

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“…Singh and Singh [2] suggested the [1] type estimator when some parameters of the auxiliary variable are known in advance. [3] slightly modified the idea of [1] and suggested a new estimator for estimating the population mean. [4] used the known population parameters of the auxiliary variable in their suggested estimator for mean estimation.…”

Section: Introductionmentioning

confidence: 99%

Use of an efficient unbiased estimator for finite population mean

Shabbir

Onyango

2022

PLoS ONE

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In this study, we propose an improved unbiased estimator in estimating the finite population mean using a single auxiliary variable and rank of the auxiliary variable by adopting the Hartley-Ross procedure when some parameters of the auxiliary variable are known. Expressions for the bias and mean square error or variance of the estimators are obtained up to the first order of approximation. Four real data sets are used to observe the performances of the estimators and to support the theoretical findings. It turns out that the proposed unbiased estimator outperforms as compared to all other considered estimators. It is also observed that using conventional measures have significant contributions in achieving the efficiency of the estimators.

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