## 2005 International Conference on Analysis of Algorithms

### Conrado Martínez (ed.)

### DMTCS Conference Volume AD (2005), pp. 181-192

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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Automatically produced on Di Sep 27 10:09:32 CEST 2005 by gustedt