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Non-Parametric Estimator for a Finite Population Total Based on Saddlepoint Approximation

机译:基于SaddlePoint近似的有限人口总计的非参数估计器

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In sample surveys, the main objective is to make inference about the entire population parameters using the sample statistics. In this study, a nonparametric estimator of finite population total is proposed and its coverage probabilities studied using Saddlepoint approximation. Three asymptotic properties; unbiasedness, efficiency and the confidence interval of the proposed estimator are studied. The study focusses more on length of confidence interval and coverage probabilities at the same time, the amount of bias and MSE are also studied. Simulated data using three data variables; linear, quadratic and exponential are generated to study the asymptotic properties of the proposed estimator. Based on the empirical study with simulations in R, the proposed estimator gave a comparatively smaller amount of bias and MSE compared to the nonparametric Nadaraya – Watson (Dorfman’s) estimator, the design-based Horvitz-Thompson estimator and the model-based ratio estimator. Further, the proposed estimator is tighter compared to the other three considered in this study with a higher coverage probability.
机译:在样本调查中,主要目标是使用样本统计来推断整个人口参数。在本研究中,提出了有限人口总量的非参数估计,并使用SaddlePoint近似研究其覆盖概率。三个渐近性质;研究了所提出的估计者的无偏见,效率和置信区间。该研究同时互相置信间隔和覆盖概率的重点,还研究了偏差和MSE的量。使用三个数据变量模拟数据;生成线性,二次和指数以研究所提出的估计器的渐近性质。基于对R模拟的实证研究,与非参数Nadaraya - Watson(Dorfman)估算器,基于设计的Horvitz-Thompson估计器和基于模型的比率估计器相比,所提出的估计器具有相对较少量的偏差和MSE。此外,与本研究中考虑的其他三个具有较高的覆盖概率相比,所提出的估计器更严格。

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