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arXiv · 1512.07901

Simple set cardinality estimation through random sampling

Marco Bressan·Enoch Peserico·Luca Pretto
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Abstract

We present a simple algorithm that estimates the cardinality $n$ of a set $V$ when allowed to sample elements of $V$ uniformly and independently at random. Our algorithm with probability $(1-\delta)$ returns a $(1\pm\epsilon)-$approximation of $n$ drawing $O\big(\sqrt{n} \cdot \epsilon^{-1}\sqrt{\log(\delta^{-1})}\big)$ samples (for $\epsilon^{-1}\sqrt{\log(\delta^{-1})} = O(\sqrt{n})$).

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Marco Bressan, Enoch Peserico, Luca Pretto. 2015-12-24. Simple set cardinality estimation through random sampling. https://arxiv.org/abs/1512.07901

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