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A Family of Difference-Cum-Exponential Type Estimators for Estimating the Population Variance Using Auxiliary Information in Sample Surveys

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Abstract:

Using auxiliary information, a family of difference-cum-exponential type estimators for estimating the population variance of variable under study have been proposed under double sampling design. Expressions for bias, mean squared error and its minimum values have been obtained. The comparisons have been made with the regression-type estimator by using simple random sampling at both occasions in double sampling design. It has also been shown that better estimators can be obtained from the proposed family of estimators which are more efficient than the linear regression type estimator. Results have also been illustrated numerically as well asgraphically.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 1)
Pages:
15-21
DOI:
10.18052/www.scipress.com/ATMath.1.15
Citation:
H.S. Jhajj and K. Lata, "A Family of Difference-Cum-Exponential Type Estimators for Estimating the Population Variance Using Auxiliary Information in Sample Surveys", Advanced Trends in Mathematics, Vol. 1, pp. 15-21, 2014
Online since:
Dec 2014
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References:

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M.S. Ahmed, A.D. Walid and A.O.H. Ahmed, Some estimators for finite population variance under two-phase sampling, Statistics in Transtition, 6(1), 143-150, (2003).

H.S. Jhajj, M.K. Sharma and L.K. Grover, An efficient class of chain estimators of population variance under sub-sampling scheme, Jour Japan Statistical Society, 35(2), 273-286, (2005).

C. Kadilar and H. Cingi, Ratio estimator for the population variance in simple and stratified random sampling, Applied Mathematics and Computation, 173, 1047-1059, (2006).

B.K. Pradhan, Regression type estimators of finite population variance under multiphase sampling, Bull. Malays. Math. Sci. Soc., (2) 33(2), 345-353, (2010).

H.S. Jhajj and G.S. Walia, A generalized difference-cum-ratio type estimator for the population variance in double sampling, International journal of Applied Mathematics, 41: 4, (2011).

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