Cantor-solus and Cantor-multus Distributions

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.

12 pages

Cited by in corpus (2)

• Variance of Longest Run Duration in a Random Bitstring
• Covariance within Random Integer Compositions