Journals Information
Mathematics and Statistics Vol. 10(1), pp. 100 - 115
DOI: 10.13189/ms.2022.100108
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A Goal Programming Approach for Generalized Calibration Weights Estimation in Stratified Random Sampling
Siham Rabee *, Ramadan Hamed , Ragaa Kassem , Mahmoud Rashwaan
Department of Statistics, Faculty of Economics and Political Science, Cairo University, Egypt
ABSTRACT
Calibration estimation approach is a widely used method for increasing the precision of the estimates of population parameters. It works by modifying the design weights as little as possible by minimizing a given distance function to the calibrated weights respecting a set of constraints related to specified auxiliary variables. This paper proposes a goal programming approach for generalized calibration estimation. In the generalized calibration estimation, multi study variables will be considered by incorporating multi auxiliary variables. Almost all calibration estimation's literature proposed calibrated estimators for the population mean of only one study variable. And nevertheless, up to researcher's knowledge, there is no study that considers calibration estimation approach for multi study variables. According to the correlation structure between the study variables, estimating the calibrated weights will be formulated in two different models. The theory of the proposed approach is presented and the calibrated weights are estimated. A simulation study is conducted in order to evaluate the performance of the proposed approach in the different scenarios compared by some existing calibration estimators. The Simulation results of the four generated populations show that the proposed approach is more flexible and efficient compared to classical methods.
KEYWORDS
Generalized Calibration Estimation, Multivariate Study Variables, Auxiliary Variables, Stratified Sampling, Goal Programming Technique
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Siham Rabee , Ramadan Hamed , Ragaa Kassem , Mahmoud Rashwaan , "A Goal Programming Approach for Generalized Calibration Weights Estimation in Stratified Random Sampling," Mathematics and Statistics, Vol. 10, No. 1, pp. 100 - 115, 2022. DOI: 10.13189/ms.2022.100108.
(b). APA Format:
Siham Rabee , Ramadan Hamed , Ragaa Kassem , Mahmoud Rashwaan (2022). A Goal Programming Approach for Generalized Calibration Weights Estimation in Stratified Random Sampling. Mathematics and Statistics, 10(1), 100 - 115. DOI: 10.13189/ms.2022.100108.