Comparison of Various Methods for Estimating Finite Population Total in Survey Sampling When Study Variable and Auxiliary Variable are Inversely Related

Abstract

In the present paper, a model based calibration estimator of population total has been developed when study variable y and auxiliary variable x are inversely related. The relative performance of the proposed model based calibration estimator in comparison to model based estimator, the usual regression estimator and calibration based regression estimator have been examined by conducting a limited simulation study. In view of the results of the simulation study, it has been found that model based calibration estimator has outperformed the other estimators. However, calibration based regression estimator was found to be close to the model based calibration estimator.

Enhanced direct and synthetic estimators for domain mean with simulation and applications

“…By employing auxiliary data, [8] suggested logarithmic type direct and synthetic estimators for domain mean under SRS, while [9] studied SAE utilizing design based direct and synthetic logarithmic estimators for domain mean. For a more thorough examination of small area estimation, the reader is advised to see [10] , [11] , [12] , [13] among others.…”

A Novel Basis Function Approach to Finite Population Parameter Estimation

“…Therefore, add this application and the following sentence here: Note that the LLR technique can also be used for evaluating entrepreneurial opportunities, see [30] for more information about this topic. The researches documented in literature consist a wide variety of model-based estimators constructed under different forms of the relationship between the outcome and the predictors, see [31], [32], [33], [34], [35], [36] [37] and [38]. Although a wide variety of restricted sampling methods have been in [8] some of them are based on linear regression model, some on polynomial models and some on proportional and stratified population models.…”

On use of Ranked Set Sampling for estimating Super-population Total: Gamma Population Model

“…[18] applied this approach to predict the total and average number of peoples living with HIV/AIDS in Nakuru Central district in Kenya. Current work in this area can be found in [19], [20], [21], [22], [23] and [24].…”