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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| Summary: | 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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| ISSN: | 0132-2818 2335-898X |