Exploring mixture estimators in stratified random sampling

• DOI: 10.1371/journal.pone.0307607
• Publication Date: 2024-09-17T17:24:19Z
• Authors: Kanwal Iqbal; Syed Muhammad Mus...; Tahir Mahmood; Muhammad Riaz
• Keywords: Stratified Sampling; Sample (material)

Advancements in sensor technology have brought a revolution data generation. Therefore, the study variable and several linearly related auxiliary variables are recorded due to cost-effectiveness ease of recording. These commonly observed as quantitative qualitative (attributes) jointly used estimate variable’s population mean using mixture estimator. For this purpose, work proposes family generalized estimators under stratified sampling increase efficiency symmetrical asymmetrical distributions estimator’s behavior for different sample sizes its convergence Normal distribution. It is found that proposed estimator estimates with more precision than competitor Normal, Uniform, Weibull, Gamma distributions. also revealed follows Cauchy distribution when size less 35; otherwise, it converges normality. Furthermore, implementation two real-life datasets health finance sectors presented support significance.