115 citations · 782 across the 69 of their papers we have counts for
4 papers · 1 filter
Schröder's problems and scaling limits of random trees
Jim Pitman, Douglas Rizzolo
In a classic paper Schröder posed four combinatorial problems about the number of certain types of bracketings of words and sets. Here we address what these bracketings look like o…
Beta processes, stick-breaking, and power laws
Tamara Broderick, Michael I. Jordan, Jim Pitman
The beta-Bernoulli process provides a Bayesian nonparametric prior for models involving collections of binary-valued features. A draw from the beta process yields an infinite colle…
Convex minorants of random walks and Lévy processes
Josh Abramson, Jim Pitman, Nathan Ross +1
This article provides an overview of recent work on descriptions and properties of the convex minorant of random walks and Lévy processes which summarize and extend the literature…
A representation of exchangeable hierarchies by sampling from real trees
Noah Forman, Chris Haulk, Jim Pitman
A hierarchy on a set , also called a total partition of , is a collection of subsets of such that , each singleton subset of belongs…