کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1153766 1489897 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extensions of discrete triangular distributions and boundary bias in kernel estimation for discrete functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آمار و احتمال
پیش نمایش صفحه اول مقاله
Extensions of discrete triangular distributions and boundary bias in kernel estimation for discrete functions
چکیده انگلیسی
Asymmetric discrete triangular distributions are introduced in order to extend the symmetric ones serving for discrete associated kernels in the nonparametric estimation for discrete functions. The extension from one to two orders around the mode provides a large family of discrete distributions having a finite support. Establishing a bridge between Dirac and discrete uniform distributions, some different shapes are also obtained and their properties are investigated. In particular, the mean and variance are pointed out. Applications to discrete kernel estimators are given with a solution to a boundary bias problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 80, Issues 21–22, 1–15 November 2010, Pages 1655-1662
نویسندگان
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