Estimation of finite population mean using two auxiliary variables in stratified two-phase sampling

ABSTRACT We propose a new ratio type estimator for estimating the finite population mean using two auxiliary variables in stratified two-phase sampling. Expressions for bias and mean squared error of the proposed estimator are derived up to the first order of approximation. The proposed estimator is more efficient than the usual stratified sample mean estimator, traditional stratified ratio estimator and some other stratified estimators including Bahl and Tuteja (1991), Chami et al. (2012), Chand (1975), Choudhury and Singh (2012), Hamad et al. (2013), Vishwakarma and Gangele (2014), Sanaullah et al. (2014), and Chanu and Singh (2014).

[1]  B. K. Singh,et al.  A class of exponential chain ratio-product type estimators with two auxiliary variables under double sampling scheme , 2013 .

[2]  Cem Kadilar,et al.  Ratio estimators in simple random sampling , 2004, Appl. Math. Comput..

[3]  J. Shabbir,et al.  Improved Ratio Estimators in Stratified Sampling , 2005 .

[4]  Gajendra K. Vishwakarma,et al.  A class of chain ratio-type exponential estimators in double sampling using two auxiliary variates , 2014, Appl. Math. Comput..

[5]  Cem Kadilar,et al.  A New Ratio Estimator in Stratified Random Sampling , 2005 .

[6]  Muhammad Hanif,et al.  Generalized exponential chain ratio estimators under stratified two-phase random sampling , 2014, Appl. Math. Comput..

[7]  L. Chand.  Some ratio-type estimators based on two or more auxiliary variables , 1975 .

[8]  C. Kadilar,et al.  Ratio and product estimators in stratified random sampling , 2009 .

[9]  J. Sahoo,et al.  A regression approach to estimation in two-phase sampling using two auxiliary variables , 1993 .

[10]  B. Kiregyera.  Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations , 1984 .

[11]  Manish Kumar,et al.  An Improved Class of Chain Ratio-Product Type Estimators in Two-Phase Sampling Using Two Auxiliary Variables , 2014 .

[12]  B. Kiregyera.  A chain ratio-type estimator in finite population double sampling using two auxiliary variables , 1980 .

[13]  Cem Kadilar,et al.  Improvement in estimating the population mean in simple random sampling , 2006, Appl. Math. Lett..

[14]  Bernd Sing,et al.  A Two-Parameter Ratio-Product-Ratio Estimator Using Auxiliary Information , 2012 .

[15]  C. Kadilar,et al.  Improvement in Variance Estimation using Auxiliary Information , 2006 .

[16]  M. N. Murthy.  Sampling theory and methods. , 1967 .

[17]  Carl-Erik Särndal,et al.  Model Assisted Survey Sampling , 1997 .

[18]  B. Singh,et al.  Improved Class of Ratio -Cum- Product Estimators of Finite Population Mean in Two Phase Sampling , 2014 .

[19]  R. Tuteja,et al.  Ratio and Product Type Exponential Estimators , 1991 .

[20]  B. K. Singh,et al.  A class of chain ratio–product type estimators with two auxiliary variables under double sampling scheme , 2012 .

[21]  Naqvi Hamad,et al.  A Regression Type Estimator with Two Auxiliary Variables for Two-Phase Sampling , 2013 .