Keywords
Auxiliary variable; Bias; Mean squared error; Natural populations; Quartiles; Ratio and Product estimators; Simple random sampling
Abstract
In sample surveys auxiliary information is quite often available from previous experience and using the auxiliary information several estimators are introduced like Ratio estimator modified ratio and product estimators for the estimation of population mean. This manuscript deals with the improvements on ratio cum product estimators for the estimation of population mean of the study variable by using the known values of quartiles of the auxiliary variable and their functions. The bias and mean squared error of proposed estimators are obtained. An empirical condition is developed to assess the performance of proposed estimators over the existing estimators. A numerical study is carried out to assess the efficiency of proposed estimators over the existing estimators with the help of some known natural populations. Based on the simulation study and numerical studies, the proposed estimators are less biased (almost unbiased) and it performs better than the existing estimators.
Citation
Subramani J and Master Ajith S. Improved Ratio cum Product Estimators for Finite Population Mean with Known Quartiles and Their Functions. SM J Biometrics Biostat. 2017; 2(1): 1008.