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- W2952384275 abstract "The random split tree introduced by Devroye (1999) is considered. We derive a second order expansion for the mean of its internal path length and furthermore obtain a limit law by the contraction method. As an assumption we need the splitter having a Lebesgue density and mass in every neighborhood of 1. We use properly stopped homogeneous Markov chains, for which limit results in total variation distance as well as renewal theory are used. Furthermore, we extend this method to obtain the corresponding results for the Wiener index." @default.
- W2952384275 created "2019-06-27" @default.
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- W2952384275 date "2011-01-13" @default.
- W2952384275 modified "2023-09-24" @default.
- W2952384275 title "On the asymptotic internal path length and the asymptotic Wiener index of random split trees" @default.
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- W2952384275 doi "https://doi.org/10.48550/arxiv.1101.2570" @default.
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