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Article Information:
Ratio Type Exponential Estimator for the Estimation of Finite Population Variance under Two-stage Sampling
Muhammad Jabbar, Javid Shabbir, Zaheer Ahmed and Zainab Rehman
Corresponding Author: Muhammad Jabbar
Submitted: December 09, 2013
Accepted: January 10, 2014
Published: May 15, 2014 |
Abstract:
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In this study we propose an improved exponential ratio type estimator in estimating the finite population variance in two stage sampling under two cases: (i) when sum of the weights cannot equal to one and (ii) when sum of the weights are equal to one. The bias and Mean Squared Error (MSE) are derived up to first order of approximation. The efficiency conditions, under which proposed estimator is more efficient than the usual sample variance estimator and regression estimator are obtained. Numerical and simulated studies are conducted to support the superiority of the estimators. Real data set is used to observe the performances of estimator.
Key words: Bias, efficiency, exponential ratio type estimator, MSE, two-stage sampling, ,
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Cite this Reference:
Muhammad Jabbar, Javid Shabbir, Zaheer Ahmed and Zainab Rehman , . Ratio Type Exponential Estimator for the Estimation of Finite Population Variance under Two-stage Sampling. Research Journal of Applied Sciences, Engineering and Technology, (19): 4095-4099.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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