Two Phase Sampling Exponential Type Estimators for Ratio and Product of two Population Means in the Presence of Non-response

Kamlesh Kumar¹ , Mukesh Kumar²

1. Department of Community Medicine, Rajkiya Medical College, Jalaun (Orai), India.
2. Department of Statistics, Central University of South Bihar, Bihar, India.

Correspondence should be addressed to: kamalbhu03@gmail.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.6 , pp.26-34, Dec-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i6.2634

Online published on Dec 31, 2017

Copyright © Kamlesh Kumar, Mukesh Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, two phase sampling exponential type estimators for ratio and product of two population means in the presence of non-response have been proposed and the expressions for the mean suare error of the proposed estimators for ratio and product of two population means in case of fixed sample sizes and also in case of fixed cost, are obtained. The expressions for optimum values of sample sizes are obtained in case of fixed cost and also in case of specified variance. The proposed estimators have been found to be more efficient than the relevant estimators for the fixed values of sample sizes, under the specified conditions. The proposed estimators are also more efficient than the relevant estimators in case of the fixed cost and have less total cost in comparison to the cost incurred in case of relevant estimators for the specified variance. Empirical studies have been given in support of the problem under investigation.

Key-Words / Index Term :
Two phase sampling, Non-response, Mean square error, Study character, Auxiliary characte

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