The asymptotic of the density of the k-th maxima of independent random variables
In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-09-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30794 |
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| _version_ | 1823857891445047296 |
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| author | Arvydas Jokimaitis |
| author_facet | Arvydas Jokimaitis |
| author_sort | Arvydas Jokimaitis |
| collection | DOAJ |
| description |
In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved.
|
| format | Article |
| id | doaj-art-2aa5af8f7ac6413eb9bb31b3daed2b46 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-2aa5af8f7ac6413eb9bb31b3daed2b462025-02-11T18:12:25ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30794The asymptotic of the density of the k-th maxima of independent random variablesArvydas Jokimaitis0Kaunas University of Technology In this paper the local limit theorem for density of k-th maxima of independent identically distributed random variables is proved. https://www.zurnalai.vu.lt/LMR/article/view/30794extreme valueslocal limit theoremsorder statistics |
| spellingShingle | Arvydas Jokimaitis The asymptotic of the density of the k-th maxima of independent random variables Lietuvos Matematikos Rinkinys extreme values local limit theorems order statistics |
| title | The asymptotic of the density of the k-th maxima of independent random variables |
| title_full | The asymptotic of the density of the k-th maxima of independent random variables |
| title_fullStr | The asymptotic of the density of the k-th maxima of independent random variables |
| title_full_unstemmed | The asymptotic of the density of the k-th maxima of independent random variables |
| title_short | The asymptotic of the density of the k-th maxima of independent random variables |
| title_sort | asymptotic of the density of the k th maxima of independent random variables |
| topic | extreme values local limit theorems order statistics |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30794 |
| work_keys_str_mv | AT arvydasjokimaitis theasymptoticofthedensityofthekthmaximaofindependentrandomvariables AT arvydasjokimaitis asymptoticofthedensityofthekthmaximaofindependentrandomvariables |