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Journal of Statistics Applications & Probability Letters
An International Journal


Volumes > Vol. 2 > No. 1


An Efficient Class of Two-Phase Exponential Ratio and Product Type Estimators for Estimating the Finite Population Mean

PP: 71-88
Housila P. Singh, Neeraj Sharma, Tanveer A. Tarray,
This paper addresses the problem of estimating the population mean of the study variable using auxiliary information in double sampling. We have suggested a class of estimators of population mean in double sampling. It has been shown that the estimator due to Khatua and Mishra (2013) is a member of the proposed class. We have obtained the bias and mean square error (MSE) of the proposed class of estimators under large sample approximation. It is observed that the mean square error expression of the estimator tdge obtained by Khatua and Mishra (2013) is not correct. So, we have obtained the correct expression of the mean square error of the estimator tdge due to Khatua and Mishra (2013). We have compared the proposed class of estimators with that of usual unbiased estimator, usual double sampling ratio and product estimators, Singh and Vishwakarma (2007) estimators, usual regression estimator and usual double sampling ratio estimator and shown that the proposed estimator is better than existing estimators. Numerical illustrations are also given in support of the present study.

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