کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10527385 | 958842 | 2005 | 45 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
We establish Chung-Mogulskii type functional laws of the iterated logarithm for medium and large increments of the uniform empirical and quantile processes. This gives the ultimate sup-norm distance between various sets of properly normalized empirical increment processes and a fixed function of the relevant cluster sets. Interestingly, we obtain the exact rates and constants even for most functions of the critical border of Strassen type balls and further introduce minimal entropy conditions on the locations of the increments under which the fastest rates are achieved with probability one. Similar results are derived for the Brownian motion and other related processes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 115, Issue 3, March 2005, Pages 493-537
Journal: Stochastic Processes and their Applications - Volume 115, Issue 3, March 2005, Pages 493-537
نویسندگان
Philippe Berthet,