Second Moment Convergence Rates for Uniform Empirical Processes
<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-972324-i1.gif"/></inline-formula> be a sequence of independent and identically distributed <inline-formula> <graphic file="1029-242X-2010-972324-i2.gif"/></inline-formula>-d...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/972324 |
| _version_ | 1818109586319605760 |
|---|---|
| author | Chen You-You Zhang Li-Xin |
| author_facet | Chen You-You Zhang Li-Xin |
| author_sort | Chen You-You |
| collection | DOAJ |
| description | <p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-972324-i1.gif"/></inline-formula> be a sequence of independent and identically distributed <inline-formula> <graphic file="1029-242X-2010-972324-i2.gif"/></inline-formula>-distributed random variables. Define the uniform empirical process as <inline-formula> <graphic file="1029-242X-2010-972324-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-972324-i4.gif"/></inline-formula>. In this paper, we get the exact convergence rates of weighted infinite series of <inline-formula> <graphic file="1029-242X-2010-972324-i5.gif"/></inline-formula>.</p> |
| first_indexed | 2024-12-11T02:33:36Z |
| format | Article |
| id | doaj.art-6e1ded5db3804669a1249f869278df3a |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T02:33:36Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6e1ded5db3804669a1249f869278df3a2022-12-22T01:23:47ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101972324Second Moment Convergence Rates for Uniform Empirical ProcessesChen You-YouZhang Li-Xin<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-972324-i1.gif"/></inline-formula> be a sequence of independent and identically distributed <inline-formula> <graphic file="1029-242X-2010-972324-i2.gif"/></inline-formula>-distributed random variables. Define the uniform empirical process as <inline-formula> <graphic file="1029-242X-2010-972324-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-972324-i4.gif"/></inline-formula>. In this paper, we get the exact convergence rates of weighted infinite series of <inline-formula> <graphic file="1029-242X-2010-972324-i5.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/2010/972324 |
| spellingShingle | Chen You-You Zhang Li-Xin Second Moment Convergence Rates for Uniform Empirical Processes Journal of Inequalities and Applications |
| title | Second Moment Convergence Rates for Uniform Empirical Processes |
| title_full | Second Moment Convergence Rates for Uniform Empirical Processes |
| title_fullStr | Second Moment Convergence Rates for Uniform Empirical Processes |
| title_full_unstemmed | Second Moment Convergence Rates for Uniform Empirical Processes |
| title_short | Second Moment Convergence Rates for Uniform Empirical Processes |
| title_sort | second moment convergence rates for uniform empirical processes |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/972324 |
| work_keys_str_mv | AT chenyouyou secondmomentconvergenceratesforuniformempiricalprocesses AT zhanglixin secondmomentconvergenceratesforuniformempiricalprocesses |