Alpha-diversity processes and normalized inverse-Gaussian diffusions

DOI10.1214/12-AAP846zbMath1277.60129arXiv1302.3000OpenAlexW2009042793MaRDI QIDQ1948692

Matteo Ruggiero, Stefano Favaro, Stephen G. Walker

Publication date: 24 April 2013

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3000

zbMATH Keywords

Gibbs partitionsgeneralized gamma processinfinitely-many-neutral-alleles modelPoisson-Dirichlet type

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Diffusion processes (60J60) Random measures (60G57)

Related Items

Dynamic density estimation with diffusive Dirichlet mixtures, Uniform control of local times of spectrally positive stable processes, A two-parameter family of measure-valued diffusions with Poisson-Dirichlet stationary distributions, Clustering dynamics in a class of normalised generalised gamma dependent priors, Diffusions on a space of interval partitions: the two-parameter model, Species Dynamics in the Two-Parameter Poisson-Dirichlet Diffusion Model, Approximating predictive probabilities of Gibbs-type priors, Diffusions on a space of interval partitions: construction from marked Lévy processes, Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions, Metrics on sets of interval partitions with diversity, Ranked masses in two-parameter Fleming–Viot diffusions

Cites Work

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• The two-parameter Poisson-Dirichlet point process
• Some diffusion processes associated with two parameter Poisson-Dirichlet distribution and Dirichlet process
• Two-parameter family of infinite-dimensional diffusions on the Kingman simplex
• Bayesian nonparametric estimators derived from conditional Gibbs structures
• Countable representation for infinite dimensional diffusions derived from the two-parameter Poisson-Dirichlet process
• A species sampling model with finitely many types
• Gibbs fragmentation trees
• Fragmenting random permutations
• The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
• Ferguson distributions via Polya urn schemes
• Exchangeable and partially exchangeable random partitions
• Gibbs distributions for random partitions generated by a fragmentation process
• Record indices and age-ordered frequencies in exchangeable Gibbs partitions
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• A Bayesian analysis of some nonparametric problems
• Two-Parameter Poisson–Dirichlet Measures and Reversible Exchangeable Fragmentation–Coalescence Processes
• The Poisson-Dirichlet Distribution and Related Topics
• Bayesian Nonparametric Estimation of the Probability of Discovering New Species
• The infinitely-many-neutral-alleles diffusion model
• Combinatorial Methods in Discrete Distributions
• Generalized Gamma measures and shot-noise Cox processes
• Random Fragmentation and Coagulation Processes
• Hierarchical Mixture Modeling With Normalized Inverse-Gaussian Priors