期刊名称：International Journal of Statistics and Applications
印刷版ISSN：2168-5193
电子版ISSN：2168-5215
出版年度：2020
卷号：10
期号：3
页码：60-67
DOI：10.5923/j.statistics.20201003.02
语种：English
出版社：Scientific & Academic Publishing Co.
摘要：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.
关键词：Asymptotic Normality; Nonparametric estimator; Auxiliary variables and Saddlepoint
