Optimal estimate of the convergence rate of statistic ρN = |ZNWN|
The optimal estimate of the convergence rate of distribution function of statistic ρN is given (for one of the examples in [1]) and unimprovable constants were obtained. Besides, the optimal non-uniform estimate from the right was found together with the unimprovable constant.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2003-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32529 |
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| _version_ | 1832593135074541568 |
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| author | Robertas Vilkas Algimantas Aksomaitis |
| author_facet | Robertas Vilkas Algimantas Aksomaitis |
| author_sort | Robertas Vilkas |
| collection | DOAJ |
| description |
The optimal estimate of the convergence rate of distribution function of statistic ρN is given (for one of the examples in [1]) and unimprovable constants were obtained. Besides, the optimal non-uniform estimate from the right was found together with the unimprovable constant.
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| format | Article |
| id | doaj-art-2051f7ea29844cb686da45724670f368 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2003-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-2051f7ea29844cb686da45724670f3682025-01-20T18:17:26ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2003-12-0143spec.10.15388/LMR.2003.32529Optimal estimate of the convergence rate of statistic ρN = |ZNWN| Robertas Vilkas0Algimantas Aksomaitis1Institute of Mathematics and InformaticsKaunas University of Technology The optimal estimate of the convergence rate of distribution function of statistic ρN is given (for one of the examples in [1]) and unimprovable constants were obtained. Besides, the optimal non-uniform estimate from the right was found together with the unimprovable constant. https://www.journals.vu.lt/LMR/article/view/32529 |
| spellingShingle | Robertas Vilkas Algimantas Aksomaitis Optimal estimate of the convergence rate of statistic ρN = |ZNWN| Lietuvos Matematikos Rinkinys |
| title | Optimal estimate of the convergence rate of statistic ρN = |ZNWN| |
| title_full | Optimal estimate of the convergence rate of statistic ρN = |ZNWN| |
| title_fullStr | Optimal estimate of the convergence rate of statistic ρN = |ZNWN| |
| title_full_unstemmed | Optimal estimate of the convergence rate of statistic ρN = |ZNWN| |
| title_short | Optimal estimate of the convergence rate of statistic ρN = |ZNWN| |
| title_sort | optimal estimate of the convergence rate of statistic ρn znwn |
| url | https://www.journals.vu.lt/LMR/article/view/32529 |
| work_keys_str_mv | AT robertasvilkas optimalestimateoftheconvergencerateofstatisticrnznwn AT algimantasaksomaitis optimalestimateoftheconvergencerateofstatisticrnznwn |