On the Estimation of Population Means and Ratios Using Supplementary Information

Abstract

Abstran In this paper we discuss the problem of estimating population means and ratios of population means using supplementary information on an auxiliary variable. Two classes of estimators are prcposed, depending on two parameters. The bias and mean square error of each of the involved estimators is obtained to the h t order of approximation. It is shown that, with a proper choice of the values for the parameters, the estimators are more efficient than the conventional estimators. Numerical examples are provided.

An Efficient Class of Estimators for the Population Mean Using Auxiliary Information in Stratified Random Sampling

“…In the recent past, a number of authors including Sisodia and Dwivedi (1981), Bahl and Tuteja (1991), Upadhyaya and Singh (1999), Singh and Tailor (2003), Singh et al (2004), Cingi (2004, 2006a,b), and Gupta and Shabbir (2008) have defined several ratio-type estimators alongwith their properties in simple random sampling without replacement (SRSWOR). Keeping the form of these estimators in view and using the techniques of improving the estimators Searls (1964) and Upadhyaya et al (1985) various authors have paid their attention towards suggesting the improved estimators in stratified random sampling and studied their properties, for instance, see Cingi (2003, 2005), Singh et al (2008), Koyuncu and Kadilar (2010a,b), Singh et al (2009), and Singh and Vishwakarma (2006, 2010.…”

A General Class of Ratio-Type Estimators Under Super-Population Model

“…We consider the following general class of ratio-type estimators proposed by Upadhyaya et al (1985):…”

“…An attempt by Upadhyaya, Singh, and Vos (1985) has been made to combine the usual mean and ratio estimator with suitable weights in order to define a general class of estimators. This paper is an attempt to study properties of the same estimator under super-population model.…”

Adjustment of the auxiliary variable(s) for estimation of a finite population mean

“…Many researchers have worked on weighting two or more estimators so as to improve the efficiency of estimators of population mean, some of these are Upadhyaya et al (1985), Singh (2002) and Singh et al (2006). Some of the researchers who employed the transformation technique, on ratio and regression type estimators, include Chakrabarty (1979), Srivenkataramana and Tracy (1980), and Sahoo and Jena (2000).…”