Reposted by Kris Sankaran
New paper with Sourav Chatterjee and Persi Diaconis: Estimating the size of a set with cascading exclusion, see arxiv.org/abs/2508.05901 and a whole github repo of examples in R spholmes.github.io/SetSize/, thank you #rstats and #quarto.
arxiv.org
Estimating the size of a set using cascading exclusion
Let $S$ be a finite set, and $X_1,\ldots,X_n$ an i.i.d. uniform sample from $S$. To estimate the size $|S|$, without further structure, one can wait for repeats and use the birthday problem. This requ...