A ratio-cum-product estimator of finite  population mean in systematic sampling

Rajesh Tailor; Narendra K.  Jatwa; Housila P. Singh

doi:https://doi.org/10.59170/stattrans-2013-025

A ratio-cum-product estimator of finite population mean in systematic sampling

Rajesh Tailor S. S. in Statistics, Vikram University, Ujjain-456010, M. P., India , Narendra K. Jatwa S. S. in Statistics, Vikram University, Ujjain-456010, M. P., India. , Housila P. Singh S. S. in Statistics, Vikram University, Ujjain-456010, M. P., India. Statistics in Transition new series, vol. 14, 2013, 3, pages: 391-398 Published online: 2 September 2013 https://doi.org/10.59170/stattrans-2013-025

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ABSTRACT

In this paper we consider the problem of estimation of population mean using information on two auxiliary variables in systematic sampling. We have extended Singh (1967) estimator for estimation of population mean in systematic sampling. We have derived the expressions for the bias and mean squared error of the suggested estimator up to the first degree of approximation. We have compared the suggested estimator with existing estimators and obtained the conditions under which the suggested estimator is more efficient. An empirical study has been carried out to demonstrate the performance of the suggested estimator.

KEYWORDS

systematic sampling, ratio-cum-product estimator, bias, mean squared error.

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