A ratio-cum-regression estimator of population mean in unequal probability sampling design

Abstract A new ratio-cum-regression type estimator of population mean is proposed in unequal probability sampling design. Its mean square error, up to first-order approximation is derived. A simulation study is carried out to compare the performance of the proposed estimator with some existing estimators.

[1]  J. Shabbir,et al.  Ratio Estimation of the Mean of a Sensitive Variable in the Presence of Auxiliary Information , 2010 .

[2]  Hina Khan,et al.  Generalized P-phased Regression Estimators with Single and Two Auxiliary Variables , 2017 .

[3]  J. Shabbir,et al.  Estimation of population mean based on dual use of auxiliary information in non response , 2017 .

[4]  Hiroshi Midzuno,et al.  On the sampling system with probability proportionate to sum of sizes , 1951 .

[5]  A. Winsor Sampling techniques. , 2000, Nursing times.

[6]  D. Horvitz,et al.  A Generalization of Sampling Without Replacement from a Finite Universe , 1952 .

[7]  V. Barnett,et al.  Applied Linear Statistical Models , 1975 .

[8]  J. Shabbir,et al.  On Estimating Finite Population Mean in Simple and Stratified Random Sampling , 2010 .

[9]  An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute , 2018 .

[10]  Nursel Koyuncu,et al.  Exponential-Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information , 2014, Commun. Stat. Simul. Comput..

[11]  G. Vishwakarma,et al.  A General Procedure for Estimating Population Mean in Successive Sampling , 2009 .

[12]  Lovleen Kumar Grover,et al.  Product type exponential estimators of population mean under linear transformation of auxiliary variable in simple random sampling , 2012, Appl. Math. Comput..

[13]  Richard Valliant,et al.  Finite population sampling and inference : a prediction approach , 2000 .

[14]  Housila P. Singh,et al.  Use of Transformed Auxiliary Variable in Estimating the Finite Population Mean , 1999 .