Ratio Type Estimators Using the Linear Combination of Quartile Deviation and Population Deciles of Auxiliary Variable: A Comparative Analysis of Some Classes of Estimators

Abstract:

Many ratio type estimators for population means are in vogue. Researchers, over the years, have been making efforts to improve the efficiency of these estimators. Year after year they introduce modified estimators which they claimed performed better than other ratio estimators in literature. There is need to carrying out empirical study to determine the best of these estimators, the circumstance at which it performs best; and also, to find out if the estimators are distribution sensitive, compared the estimator to ascertain if they are affected by sample size. A simulation study was carried out and the result showed that the tenth estimator is the most efficient of the twenty estimators considered; it performed better than others irrespective of the distribution of the study and auxiliary variables; and also, that the efficiency of the estimators increases as sample size increases.