4 papers
Learning from Neighbors with PHIBP: Predicting Infectious Disease Dynamics in Data-Sparse Environments
Edwin Fong, Lancelot F. James, Juho Lee
Modeling sparse count data, which arise across numerous scientific fields, presents significant statistical challenges. This chapter addresses these challenges in the context of in…
Coagulation-Fragmentation Duality of Infinitely Exchangeable Partitions from Coupled Mixed Poisson Species Sampling Models
Lancelot F. James
We generalize the celebrated coagulation-fragmentation duality of Pitman (1999), originally established for the PD laws of Pitman and Yor (1997), resolving a two-decade open…
Poisson Hierarchical Indian Buffet Processes-With Indications for Microbiome Species Sampling Models
Lancelot F. James, Juho Lee, Abhinav Pandey
We introduce the Poisson Hierarchical Indian Buffet Process (PHIBP), a new class of species sampling models designed to address the challenges of complex, sparse count data by faci…
Poisson calculus for spatial neutral to the right processes
Lancelot F. James
Neutral to the right (NTR) processes were introduced by Doksum in 1974 as Bayesian priors on the class of distributions on the real line. Since that time there have been numerous a…