کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148575 957841 2007 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonparametric curve estimation with missing data: A general empirical process approach
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Nonparametric curve estimation with missing data: A general empirical process approach
چکیده انگلیسی
A general nonparametric imputation procedure, based on kernel regression, is proposed to estimate points as well as set- and function-indexed parameters when the data are missing at random (MAR). The proposed method works by imputing a specific function of a missing value (and not the missing value itself), where the form of this specific function is dictated by the parameter of interest. Both single and multiple imputations are considered. The associated empirical processes provide the right tool to study the uniform convergence properties of the resulting estimators. Our estimators include, as special cases, the imputation estimator of the mean, the estimator of the distribution function proposed by Cheng and Chu [1996. Kernel estimation of distribution functions and quantiles with missing data. Statist. Sinica 6, 63-78], imputation estimators of a marginal density, and imputation estimators of regression functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 137, Issue 9, 1 September 2007, Pages 2733-2758
نویسندگان
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