Chitkara University Publications

Improved Ratio Type Estimator Using Two Auxiliary Variables under Second Order Approximation

Abstract:

In this paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the estimators constructed by Olkin (1958), Singh (1965), Lu (2010) and Singh and Kumar (2012) in terms of second-order mean square error.

Author(s):

  • Prayas Sharma, Department of Statistics, Banaras Hindu University, Varanasi-221005, India
  • Rajesh Singh, Department of Statistics, Banaras Hindu University, Varanasi-221005, India

DOI: 

Keywords: 

Simple random sampling, Population mean, Study variable, Auxiliary variable, Ratio type estimator, Product estimator, Bias and MSE

References:

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Sharma, P., Singh, R., Jong, Min-kim. (2013a): Study of Some Improved Ratio Type Estimators using the information on auxiliary attributes under second-order approximation. Journal of Scientific Research, vol.57, 138-146.

Sharma, P., Singh, R., Verma, H. (2013b): Some Exponential Ratio-Product Type Estimators using the information on Auxiliary Attributes under Second Order Approximation. International Journal of Statistics and Economics, Vol. 12, issue no. 3.

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