English

On estimating the alphabet size of a discrete random source

Data Structures and Algorithms 2017-11-22 v1

Abstract

We are concerned with estimating alphabet size NN 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 NN can be estimated in O(N)O(\sqrt{N}) time and space by the memory-restricted variant of this algorithm.

Keywords

Cite

@article{arxiv.1711.07545,
  title  = {On estimating the alphabet size of a discrete random source},
  author = {Philip Ginzboorg},
  journal= {arXiv preprint arXiv:1711.07545},
  year   = {2017}
}