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Paper detail

Efficient estimation of the cardinality of large data sets

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.

preprint2011arXivOpen access
Philippe ChassaingLucas Gerin
math.PRmath.STStatistics Theory
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Philippe ChassaingLucas Gerin

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