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Generalized modified ratio-cum-product kind exponentially estimator of the populations mean in stratified ranked set sample | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 96، دوره 13، شماره 1، خرداد 2022، صفحه 1137-1149 اصل مقاله (405.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5657 | ||
| نویسندگان | ||
| Rikan A. Ahmed* 1؛ Saja Mohammad Hussein2 | ||
| 1Department of Statistics and Informatics, Mosul University, Iraq | ||
| 2Department of Statistics, Baghdad University, Baghdad, Iraq | ||
| تاریخ دریافت: 25 اسفند 1399، تاریخ بازنگری: 07 اردیبهشت 1400، تاریخ پذیرش: 14 اردیبهشت 1400 | ||
| چکیده | ||
| In this study, we present a proposal aimed at estimating the finite population's mean of the main variable by stratification rank set sample \(S_{t}\text{RSS}\) through the modification made to generalized ratio-cum-product type exponential estimator. The relative bias \(\text{PRB}\), Mean Squared Error \(\text{Mse}\) and percentage relative efficiencies \(\text{PRE}\) of the proposed modified estimator is obtained to the first degree of approximation. Conditions under which the proposed estimator is more efficient than the usual unbiased estimator, ratio, product type estimators, and some other estimators are obtained. Finally, the estimators' abilities are evaluated through the use of simulations, as showed that the proposed modified estimator is more efficient as compared to several other estimators. | ||
| کلیدواژه‌ها | ||
| Relative Bias؛ Mean square error؛ Percentage Relative Efficiency؛ Stratified ranked set sampling؛ ratio-cum-product type exponential estimator | ||
| مراجع | ||
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