74 citations · 190 across the 73 of their papers we have counts for
5 papers · 1 filter
Covariance within Random Integer Compositions
Steven Finch
Fix a positive integer . Select an additive composition of uniformly out of possibilities. The interplay between the number of parts in and the maximum par…
Variance of Longest Run Duration in a Random Bitstring
Steven Finch
We continue an earlier study, starting with unconstrained -bitstrings, focusing now less on average behavior and more on uncertainty. The interplay between longest run…
Cantor-solus and Cantor-multus Distributions
Steven Finch
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…
Recursive PGFs for BSTs and DSTs
Steven Finch
We review fundamentals underlying binary search trees and digital search trees, with (atypical) emphasis on recursive formulas for associated probability generating functions. Othe…
Errata and Addenda to Mathematical Constants
Steven Finch
We humbly and briefly offer corrections and supplements to Mathematical Constants (2003) and Mathematical Constants II (2019), both published by Cambridge University Press. Comment…