Efficient estimation of the cardinality of large data sets

Philippe Chassaing; Lucas Gerin

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Efficient estimation of the cardinality of large data sets

Philippe Chassaing·Lucas Gerin

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Abstract

F.Giroire has recently proposed an algorithm which returns the approximate number of distincts elements in a large sequence of words, under strong constraints coming from the analysis of large data bases. His estimation is based on statistical properties of uniform random variables in $[0,1]$. In this note we propose an optimal estimation, using Kullback information and estimation theory.

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Philippe Chassaing, Lucas Gerin. 2011-04-22. Efficient estimation of the cardinality of large data sets. https://arxiv.org/abs/math/0701347

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