An efficient estimator using auxiliary information

Abstract

The use of ratio and product methods of estimation using auxiliary information for estimating the mean of a finite population is well known. Srivastava [1967] and Reddy [19731 proposed ratio-cum-product type estimators. This paper proposes a transformed estimator which is even more efficient than these estimators for a wide range of the value of the correlation coefficient between the main and auxiliary variables.

A Class of Almost Unbiased Estimators for Finite Populations Mean Using Two Auxiliary Variables

“…In the cases of many repeated surveys and surveys which are based on multiphase sampling techniques, where information is collected on the same variates for several occasions, it is possible to predict the values of certain parameters accurately in advance. Searls (1964), Gleser and Healy (1976) and Lee (1981) have indicated that it is possible to make a close guess for coefficient of variation, whilst Sahai and Sahai (1985) are of the same opinion regarding the guess for correlation coefficient. Murthy (1967, pp.…”

An Improved Class of Estimators for Finite Population Mean in Sample Surveys

“…As remarked by Murthy (1967, p. 96) and Sahai and Sahai (1985), these parameters are stable quantities, therefore, these can be known either from the past studies or from the experience gathered in due course Biometrical Journal 41 (1999) 7 of time. The constant w 1 can also be fixed by the experimenter due to familiarity with the population under investigation.…”

A family of estimators of population mean using multiauxiliary information in presence of measurement errors

“…For further discussion on this issue, the reader is referred to Murthy (1967), Reddy (1973), Srivenkataramana andTracy (1984) and Sahai and Sahai (1985).…”