Beta Processes
2019-10-14 — 2022-04-08
Wherein Hjort’s Beta Process Is Examined as a Non-Decreasing Random Measure and Its Relation to Lévy Subordinators Is Queried, With Connection to Nonparametric Random Factor Models Being Noted.
\[\renewcommand{\var}{\operatorname{Var}} \renewcommand{\corr}{\operatorname{Corr}} \renewcommand{\dd}{\mathrm{d}} \renewcommand{\bb}[1]{\mathbb{#1}} \renewcommand{\vv}[1]{\boldsymbol{#1}} \renewcommand{\rv}[1]{\mathsf{#1}} \renewcommand{\vrv}[1]{\vv{\rv{#1}}} \renewcommand{\disteq}{\stackrel{d}{=}} \renewcommand{\gvn}{\mid} \renewcommand{\Ex}{\mathbb{E}} \renewcommand{\Pr}{\mathbb{P}}\]
An interesting process associated with nonparametric random factor models. Hjort’s Beta process is non-decreasing, so it looks like a Lévy subordinator. Is it?
