Big Data and Large Numbers. Interpreting Zipf's Law

Horia-Nicolai L. Teodorescu
5/4/2023
physics.soc-phcs.CLmath.ST

No confident code implementation found for this paper. 1 possible match can be shown below.

Abstract

It turns out that some empirical facts in Big Data are the effects of properties of large numbers. Zipf's law 'noise' is an example of such an artefact. We expose several properties of the power law distributions and of similar distribution that occur when the population is finite and the rank and counts of elements in the population are natural numbers. We are particularly concerned with the low-rank end of the graph of the law, the potential of noise in the law, and with the approximation of the number of types of objects at various ranks. Approximations instead of exact solutions are the center of attention. Consequences in the interpretation of Zipf's law are discussed.

View on arXivView PDF

Code Implementations

No confident code match yet

We couldn't find an author-owned or strongly-evidenced community implementation for this paper. 1 weaker match is hidden by default — verify before relying on them.

No code implementations found yet.

Know of an implementation? Let us know in the comments below!

Similar Papers

Cite this paper

@article{teodorescu2023data,
  title  = {Big Data and Large Numbers. Interpreting Zipf's Law},
  author = {Horia-Nicolai L. Teodorescu},
  year   = {2023},
  eprint = {2305.02687},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2305.02687v2}
}

Add a badge to your README

Shows whether official code is linked for this paper.

Code of Paper badge
[![Code of Paper](https://codeofpaper.com/badge/2305.02687.svg)](https://codeofpaper.com/paper/2305.02687)

Discussion