AN IMPROVED VERSION OF REGRESSION RATIO ESTIMATOR WITH TWO AUXILIARY VARIABLES IN SAMPLE SURVEYS

Housila P.  Singh; Lakshmi N.  Upadhyaya; Premchandra

doi:https://doi.org/10.59170/stattrans-2009-006

AN IMPROVED VERSION OF REGRESSION RATIO ESTIMATOR WITH TWO AUXILIARY VARIABLES IN SAMPLE SURVEYS

Housila P. Singh Professor and Head, School of Studies in Statistics, Vikram University, Ujjain- 456 010. India. , Lakshmi N. Upadhyaya Professor, Department of Applied Mathematics, Indian School of Mines, Dhanbad - 826 004. India. , Premchandra Biostatistics & Data Management (BDM), inVentiv Clinical, GlaxoSmithKline (GSK), Consumer Health Care Research & Development Plot no. 67, Sector 32, Gurgaon, India Statistics in Transition new series, vol. 10, 2009, 1, pages: 85-100 Published online: 1 July 2009 https://doi.org/10.59170/stattrans-2009-006

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ABSTRACT

This paper considers a family of estimators of population mean Y of the variable y under study using information on two auxiliary variables x and z under simple random sampling without replacement (SRSWOR) scheme. The expressions for bias and mean-squared error of the proposed family of estimators are obtained up to the first degree of approximation. In addition to many, Mohanty (1967), Khare and Srivastava (1981) and Upadhyaya and Singh (1984) estimators are identified as particular members of the suggested family. Asymptotic optimum estimator (AOE) in the family is identified with its approximate mean-squared error expression.

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