کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156267 | 958815 | 2008 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Small deviation probability via chaining
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We obtain several extensions of Talagrand’s lower bound for the small deviation probability using metric entropy. For Gaussian processes, our investigations are focused on processes with sub-polynomial and, respectively, exponential behaviour of covering numbers. The corresponding results are also proved for non-Gaussian symmetric stable processes, both for the cases of critically small and critically large entropy. The results extensively use the classical chaining technique; at the same time they are meant to explore the limits of this method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 118, Issue 12, December 2008, Pages 2344–2368
Journal: Stochastic Processes and their Applications - Volume 118, Issue 12, December 2008, Pages 2344–2368
نویسندگان
Frank Aurzada, Mikhail Lifshits,