International Research Journal of Agricultural Economics and Statistics

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Variance Estimation Using Linear Combination of Hodges-Lehmann and Quartiles


Affiliations
1 Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India
     

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In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Hodges-Lehmann and Quartiles of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.

Keywords

Simple Random Sampling, Bias, Mean Square Error, Hodges-Lehmann, Quartiles, Auxiliary Variable.
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  • Cochran, W.G. (1977). Sampling Techniques. 3rd Ed., Wiley Eastern limted.

  • Isaki, C.T. (1983). Variance estimation using auxiliary information. J. American Statist. Assoc.,78 :117-123.

  • Kadilar, C. and Cingi, H. (2006). Improvement in Variance estimation using auxiliary information. Hacettepe J.Mathematics & Statist., 35(1) : 117-115.

  • Murthy, M. N. (1967). Sampling theory and methods. Calcutta Statistical Publishing House, India.

  • Sumramani, J. and Kumarapandiyan, G. (2015).Generalized modified ratio type estimator for estimation of population variance. Sri-Lankan J. Appl. Statist.,16 (1) : 69-90.

  • Wolter, K.M. (1985). Introduction to variance estimation. Springer- Verlag.


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  • Variance Estimation Using Linear Combination of Hodges-Lehmann and Quartiles

Abstract Views: 242  |  PDF Views: 0

Authors

M. A. Bhat
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India
S. Maqbool
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India
T. A. Raja
Division of Agricultural Statistics, Sher-e-Kashmir University of Agricultural Science and Technology-Kashmir, Kashmir (J&K), India

Abstract


In this paper, we have proposed a class of modified ratio type variance estimator for estimation of population variance of the study variable, when Hodges-Lehmann and Quartiles of the auxiliary variable are known. The bias and mean square error (MSE) of the proposed estimator are obtained. From the numerical study it is observed that the proposed estimator performs better than the existing estimators in the literature.

Keywords


Simple Random Sampling, Bias, Mean Square Error, Hodges-Lehmann, Quartiles, Auxiliary Variable.

References