分层排序集样本总体均值的广义修正比积类指数估计

Rikan A. Ahmed, Saja Mohammad Hussein
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引用次数: 1

摘要

在本研究中,我们提出了一种通过对广义比值积型指数估计量的修正,以分层秩集样本(S_{t}text{RSS})估计主变量的有限总体均值的建议。得到了改进估计器的相对偏差(text{PRB})、均方误差(text{Mse})和相对效率百分比(text{PRE})的一级近似。给出了该估计量比一般的无偏估计量、比值估计量、乘积估计量和其他一些估计量更有效的条件。最后,通过仿真对估计器的能力进行了评估,结果表明,与其他几种估计器相比,所提出的改进估计器更有效。
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Generalized modified ratio-cum-product kind exponentially estimator of the populations mean in stratified ranked set sample
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.
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