| author: | Rudolf Grübel |
|---|---|
| title: | A hooray for Poisson approximation |
| keywords: | binary search tree, multiplicity of maxima, tree profile |
| abstract: | We give several examples for Poisson approximation of quantities of interest in the analysis of algorithms: the distribution of node depth in a binary search tree, the distribution of the number of losers in an election algorithm and the discounted profile of a binary search tree. A simple and well-known upper bound for the total variation distance between the distribution of a sum of independent Bernoulli variables and the Poisson distribution with the same mean turns out to be very useful in all three cases. |
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| reference: | Rudolf Grübel (2005), A hooray for Poisson approximation, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 181-192 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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