DMTCS Proceedings, 2005 International Conference on Analysis of Algorithms

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DMTCS Conference vol AD (2005), pp. 157-166


2005 International Conference on Analysis of Algorithms

Conrado Martínez (ed.)

DMTCS Conference Volume AD (2005), pp. 157-166

author: Frédéric Giroire
title: Order statistics and estimating cardinalities of massive data sets
keywords: cardinality, estimates, very large multiset, traffic analysis
abstract: We introduce a new class of algorithms to estimate the cardinality of very large multisets using constant memory and doing only one pass on the data. It is based on order statistics rather that on bit patterns in binary representations of numbers. We analyse three families of estimators. They attain a standard error of
units of storage, which places them in the same class as the best known algorithms so far. They have a very simple internal loop, which gives them an advantage in term of processing speed. The algorithms are validated on internet traffic traces.
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reference: Frédéric Giroire (2005), Order statistics and estimating cardinalities of massive data sets, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 157-166
bibtex: For a corresponding BibTeX entry, please consider our BibTeX-file.
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