Cantor-solus and Cantor-multus Distributions
Combinatorics
2020-03-24 v1 Discrete Mathematics
Probability
Abstract
The Cantor distribution is obtained from bitstrings; the Cantor-solus distribution (a new name) admits only strings without adjacent 1 bits. We review moments and order statistics associated with these. The Cantor-multus distribution is introduced -- which instead admits only strings without isolated 1 bits -- and more complicated formulas emerge.
Cite
@article{arxiv.2003.09458,
title = {Cantor-solus and Cantor-multus Distributions},
author = {Steven Finch},
journal= {arXiv preprint arXiv:2003.09458},
year = {2020}
}
Comments
12 pages