We determine the asymptotic behavior of the expected value and the variance of the log-product of the subtree-sizes of trees T belonging to simply generated families of n
Addendum to “On the log-product of the subtree-sizes of random trees”
✍ Scribed by A. Meir; J. W. Moon
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 71 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1042-9832
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✦ Synopsis
The asymptotic behavior of the mean and the variance of the log-product of the subtree-sizes of trees belonging to simply generated families of rooted trees were determined in this paper. The authors have learned that Professor Boris Pittel, in a manuscript entitled ''Normal Convergence Problem? Two Moments and a Recurrence May Be the Clues,'' has shown, among other things, that the distribution of this parameter is asymptotically normal for the family of rooted labeled trees.
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