Central limit theorem in the symmetric group
In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E. Manstavičius in paper [1] for the case when θ = 1, we obtain t...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
1999-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/35489 |
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| _version_ | 1825197173894021120 |
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| author | Vytas Zacharovas |
| author_facet | Vytas Zacharovas |
| author_sort | Vytas Zacharovas |
| collection | DOAJ |
| description |
In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E. Manstavičius in paper [1] for the case when θ = 1, we obtain their analogs, when θ > 1, thus estimating the closenes of distribution of h(σ) to normal distribution.
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| format | Article |
| id | doaj-art-7afddc9dc2f54a13bea38a6075c696cd |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 1999-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-7afddc9dc2f54a13bea38a6075c696cd2025-02-11T18:15:39ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1999-12-0139III10.15388/LMR.1999.35489Central limit theorem in the symmetric groupVytas Zacharovas0Vilnius University In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. Using the results obtained by E. Manstavičius in paper [1] for the case when θ = 1, we obtain their analogs, when θ > 1, thus estimating the closenes of distribution of h(σ) to normal distribution. https://www.zurnalai.vu.lt/LMR/article/view/35489 |
| spellingShingle | Vytas Zacharovas Central limit theorem in the symmetric group Lietuvos Matematikos Rinkinys |
| title | Central limit theorem in the symmetric group |
| title_full | Central limit theorem in the symmetric group |
| title_fullStr | Central limit theorem in the symmetric group |
| title_full_unstemmed | Central limit theorem in the symmetric group |
| title_short | Central limit theorem in the symmetric group |
| title_sort | central limit theorem in the symmetric group |
| url | https://www.zurnalai.vu.lt/LMR/article/view/35489 |
| work_keys_str_mv | AT vytaszacharovas centrallimittheoreminthesymmetricgroup |