On estimating the alphabet size of a discrete random source

November 20, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Philip Ginzboorg arXiv ID 1711.07545 Category cs.DS: Data Structures & Algorithms Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
We are concerned with estimating alphabet size $N$ from a stream of symbols taken uniformly at random from that alphabet. We define and analyze a memory-restricted variant of an algorithm that have been earlier proposed for this purpose. The alphabet size $N$ can be estimated in $O(\sqrt{N})$ time and space by the memory-restricted variant of this algorithm.
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