A generalized exponential-type estimator for population mean using auxiliary attributes

Abstract

In this paper, we propose a generalized class of exponential type estimators for estimating the finite population mean using two auxiliary attributes under simple random sampling and stratified random sampling. The bias and mean squared error (MSE) of the proposed class of estimators are derived up to first order of approximation. Both empirical study and theoretical comparisons are discussed. Four populations are used to support the theoretical findings. It is observed that the proposed class of estimators perform better as compared to all other considered estimator in simple and stratified random sampling.

Optimum estimator in simple random sampling using two auxiliary attributes with application in agriculture, fisheries and education sectors

“…The PRE of proposed estimator is highest in comparison to the existing estimators as well as all the estimators given in Ahmed et al. [8] . It is observed from Figs.…”

“…To examine the dominance and applicability of proposed estimator in simple random sampling, we considered four real data sets from agricultural, fishers and education sectors available in Ahmad et al. [8] . A similar kind of population for reference is given as Appendix A .…”

“…Ahmed et al. [8] proposed a generalized class of factor type of estimators for estimating population mean when the population proportion and of auxiliary attribute are known is given by where,…”

“…Ahmad et al. [8] carried out the generalization of exponential ratio estimators under auxiliary estimators. The estimator was exponential-based estimator while estimator proposed by us is mixed type estimator while estimator proposed in present study is a mixture of simple, ratio and product estimators.…”

An Improved Class of Mixed Estimators of Population Mean under Double Sampling

“…Recently, (16) proposed combination of exponential and ln functions under two-phase sampling using two auxiliary variables for estimating population mean. (17) suggested two-exponential shrinkage estimator using two stage two phase sampling for estimating population mean of study variable and (18) suggested generalized class of exponential type estimators for estimating the finite population means using two auxiliary attributes under simple random sampling and stratified random sampling. (19) proposed a class of dual to ratio estimator for estimating the finite population mean in presence of missing values in two-phase sampling design and two different sampling designs in two-phase sampling are compared under imputed data.…”