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An Efficient Class of Two-Phase Exponential Ratio and Product – Type Estimators for Estimating the Finite Population Mean |
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PP: 71-88 |
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Author(s) |
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Housila P. Singh,
Neeraj Sharma,
Tanveer A. Tarray,
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Abstract |
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| 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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