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Shahbaz, Q. M., and Ayesha, S. (2008). A new symmetrized estimator of population total in unequal probability sampling. Journal of Statistics, 13(1), 20-25.

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Article

Estimation of Population Total in the Presence of Missing Values Using a Modified Murthy's Estimator and the Weight Adjustment Technique

1Department of Statistics and Actuarial Science, Kenyatta University-Kenya


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 3, 163-167
DOI: 10.12691/ajams-2-3-12
Copyright © 2014 Science and Education Publishing

Cite this paper:
Oyoo David Odhiambo, Christopher Ouma Onyango. Estimation of Population Total in the Presence of Missing Values Using a Modified Murthy's Estimator and the Weight Adjustment Technique. American Journal of Applied Mathematics and Statistics. 2014; 2(3):163-167. doi: 10.12691/ajams-2-3-12.

Correspondence to: Christopher  Ouma Onyango, Department of Statistics and Actuarial Science, Kenyatta University-Kenya. Email: chrisouma2004@yahoo.co.uk

Abstract

Use of Murthy’s method in estimation of population parameters, such as population totals, population means, and population variances has been limited to surveys where survey data values are complete. This study applies weight adjustment technique to estimate a population total under simple random sampling without replacement. The asymptotic properties show that the estimated population total is sufficient for the true population total. The proposed estimator is obtained by symmetrizing Murthy’s estimator.

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