A new estimator of finite population mean based on the dual use of the auxiliary information

A simulation study: new optimal estimators for population mean by using dual auxiliary information in stratified random sampling

“…Several estimators for the estimation of finite population mean based only on original auxiliary information under stratified random sampling are available in the literature. Haq et al [18] built up a family of estimators for evaluating the population mean under simple random sampling scheme by using additional information of the auxiliary variable called ranked auxiliary variable. First time in this manuscript, new optimal estimators are suggested for the estimation of population mean by using the original and the ranked auxiliary information under a stratified random sampling scheme.…”

“…Recently, Haq et al [18] used an additional information of the auxiliary variable called ranked auxiliary variable to develop efficient estimators for the estimation of mean. These estimators are developed only to cope with the simple random sampling scheme.…”

Finite population distribution function estimation with dual use of auxiliary information under simple and stratified random sampling

“…In previous studies, the sample distribution function of the auxiliary variable was used to improve the efficiencies of the existing distribution function estimators. In a recent study, Haq et al [16] suggested using ranks of the auxiliary variable as an additional auxiliary variable to increase the precision of an estimator of the population mean. On similar lines, we use additional auxiliary information on sample means of the auxiliary and ranked-auxiliary variables along with the sample distribution function estimators of F(y) and F(x) to estimate the finite CDF.…”

“…These authors have used a single auxiliary variable for the estimation procedure. In a recent study, Haq et al [16] suggested using ranks of the auxiliary varible as an additional auxiliary variable to increase the precision of the estimator of the population mean in simple random sampling. However, to the best of our knowledge, there is no study concerning the use of two auxiliary information variables for the estimation of the finite population distribution function.…”

Estimation of General Parameter Under Stratified Adaptive Cluster Sampling Based on Dual Use of Auxiliary Information

“…When sufficient correlation is present between the study and the auxiliary variables, auxiliary information is used to enhance precision of estimators. Haq et al [11] and Shabbir [12] propounded that ranks of auxiliary variables can also be used to increase efficiency of estimators. In this article, difference-type and difference-cum-exponential-ratio-type estimators are presented utilizing two auxiliary variables for estimation of general parameter under stratified adaptive cluster sampling (SACS).…”