کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1154611 | 958396 | 2006 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The limit process of the difference between the empirical distribution function and its concave majorant
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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: The limit process of the difference between the empirical distribution function and its concave majorant The limit process of the difference between the empirical distribution function and its concave majorant](/preview/png/1154611.png)
چکیده انگلیسی
We consider the process F^n-Fn, being the difference between the empirical distribution function Fn and its least concave majorant F^n, corresponding to a sample from a decreasing density. We extend Wang's result on pointwise convergence of F^n-Fn and prove that this difference converges as a process in distribution to the corresponding process for two-sided Brownian motion with parabolic drift.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 76, Issue 16, 1 October 2006, Pages 1781-1786
Journal: Statistics & Probability Letters - Volume 76, Issue 16, 1 October 2006, Pages 1781-1786
نویسندگان
Vladimir N. Kulikov, Hendrik P. Lopuhaä,