Harmonic Bernoulli strings and random permutations
We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. The proof is based upon the invariance principle for random permutations.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2004-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/31867 |