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Ratio-Cum-Product Type Exponential Estimator of Finite Population Mean in Stratified Random Sampling

机译:分层随机抽样中有限总体均值的比率与乘积类型指数估计

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This article addresses the problem of estimating the finite population mean in stratified random sampling using auxiliary information. Motivated by Singh (1967) and Bald and Tuteja (1991) a ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. Suggested estimator has been compared with usual unbiased estimator of population mean in stratified random sampling, combined ratio estimator, combined product estimator, ratio and product type exponential estimator of Singh et al. (2008). Conditions under which suggested estimator is more efficient than other considered estimators have been obtained. A numerical illustration is given in support of the theoretical findings.
机译:本文解决了使用辅助信息估计分层随机抽样中的有限总体均值的问题。在Singh(1967)和Bald和Tuteja(1991)的推动下,提出了一种比率暨乘积类型的指数估计量,并在大样本近似下推导了其偏差和均方误差。在分层随机抽样中,将建议的估计量与通常的总体均值的无偏估计量,组合比率估计量,组合乘积估计量,比率和产品类型的指数估计量进行了比较。 (2008)。已经获得了建议的估计量比其他考虑的估计量更有效的条件。给出了数值说明以支持理论发现。

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