کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1152277 | 958277 | 2012 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An optimal kk-nearest neighbor for density estimation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An optimal kk-nearest neighbor for density estimation An optimal kk-nearest neighbor for density estimation](/preview/png/1152277.png)
چکیده انگلیسی
A kk-nearest neighbor method, which has been widely applied in machine learning, is a useful tool to obtain statistical inference for an underlying distribution of multi-dimensional data. However, the knowledge on choosing an optimal order for the kk-nearest neighbor is relatively little. This paper proposes an asymptotic distribution for the nearest neighbor statistic. Under some conditions, we find an optimal unbiased density estimate based on a linear combination of nearest neighbors, and it leads to an optimal choice for the order of the kk-nearest neighbor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 82, Issue 10, October 2012, Pages 1786–1791
Journal: Statistics & Probability Letters - Volume 82, Issue 10, October 2012, Pages 1786–1791
نویسندگان
Yi-Hung Kung, Pei-Sheng Lin, Cheng-Hsiung Kao,