97 citations · 97 across the 2 of their papers we have counts for
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Gibbs Partitions (EPPF's) Derived From a Stable Subordinator are Fox H and Meijer G Transforms
Man-Wai Ho, Lancelot F. James, John W. Lau
This paper derives explicit results for the infinite Gibbs partitions generated by the jumps of an stable subordinator, derived in Pitman \cite{Pit02, Pit06}. We first show tha…
Large sample asymptotics for the two-parameter Poisson--Dirichlet process
Lancelot F. James
This paper explores large sample properties of the two-parameter Poisson--Dirichlet Process in two contexts. In a Bayesian context of estimating an unknown probability meas…
Tilted stable subordinators, Gamma time changes and Occupation Time of rays by Bessel Spiders
Lancelot F. James, Marc Yor
We exhibit, in the form of some identities in law, some connections between tilted stable subordinators, time-changed by independent Gamma processes and the occupation times of Bes…
Functionals of Dirichlet processes, the Markov Krein Identity and Beta-Gamma processes
Lancelot F. James
This paper describes how one can use the well-known Bayesian prior to posterior analysis of the Dirichlet process, and less known results for the gamma process, to address the form…
Poisson Process Partition Calculus with applications to Exchangeable models and Bayesian Nonparametrics
Lancelot F. James
This article discusses the usage of a partiton based Fubini calculus for Poisson processes. The approach is an amplification of Bayesian techniques developed in Lo and Weng for gam…