Cantor-solus and Cantor-multus Distributions

03/20/2020

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by   Steven Finch, et al.

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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.