556 citations
- University of EdinburghGB11 papers
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- Osservatorio Astronomico di PadovaIT6 papers
- Rutherford Appleton LaboratoryGB6 papers
- Thüringer Landessternwarte TautenburgDE6 papers
- California Institute of TechnologyUS5 papers
- Dublin Institute For Advanced StudiesIE5 papers
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Showing math.PRShow all
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math.PR2013★ 17 cited
Alpha-diversity processes and normalized inverse-Gaussian diffusions
Matteo Ruggiero, Stephen G. Walker, Stefano Favaro
The infinitely-many-neutral-alleles model has recently been extended to a class of diffusion processes associated with Gibbs partitions of two-parameter Poisson-Dirichlet type. Thi…
math.PR2011
A definition of conditional probability distribution with non-stochastic information
Pier Giovanni Bissiri, Stephen G. Walker
The current definition of a conditional probability distribution enables one to update probabilities only on the basis of stochastic information. This paper provides a definition f…
math.PR2008★ 48 cited
Bayesian nonparametric estimators derived from conditional Gibbs structures
Antonio Lijoi, Igor Prünster, Stephen G. Walker
We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail. In particular, we deduce condit…