Advances and Applications in Statistics
Volume 39, Issue 1, Pages 37 - 59
(March 2014)
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ESTIMATION OF POPULATION TOTAL USING NONPARAMETRIC REGRESSION MODELS
El-Housseiny A. Rady and Dalia Ziedan
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Abstract: In this paper, the estimation for finite population total of a study variable will be considered, and the local linear regression will be used. The study variable is available for the sample and is supplemented by multiple auxiliary variables, which are available for every element in the finite population. Also, the resampling methods will be combined with the local linear regression method to estimate the total. The comparisons between different methods will be performed. These comparisons between the methods are based on the mean squared error (MSE), mean absolute error (MAE) and mean absolute percentage error (MAPE). A simulation study is carried out to assess the effects. |
Keywords and phrases: survey sampling, auxiliary variables, multiple local linear regression, bootstrap, jackknife. |
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