Abstract
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. This paper introduces a family of infinite-dimensional diffusions associated with a different subclass of Gibbs partitions, induced by normalized inverse-Gaussian random probability measures. Such diffusions describe the evolution of the frequencies of infinitely-many types together with the dynamics of the time-varying mutation rate, which is driven by an
Citation
Matteo Ruggiero. Stephen G. Walker. Stefano Favaro. "Alpha-diversity processes and normalized inverse-Gaussian diffusions." Ann. Appl. Probab. 23 (1) 386 - 425, February 2013. https://doi.org/10.1214/12-AAP846
Information