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01 12 IM Interacting cluster point process model for epidermal nerve 2Título: Interacting cluster point process model for epidermal nerve fibers (ENF)

Palestrante: Nancy Lopes Garcia (IME-Unicamp)
Data: 06/12/2021
Horário: 15hrs
Local: Transmissão online

Confira AQUI o link para a transmissão.

Resumo: We propose an interacting cluster model for the spatial distribution of epidermal nerve fibers (ENF). The model consists of a spatial process of parent points modeling the base points of nerve fiber bundles. To each base point there is an offspring point process of fibers end points associated. The parent process is, possibly, inhibited by fiber endings that belong to different base bundles. The fibers themselves have random length and spatial orientation. We consider a non-orphan process where we can connect each offspring to a parent. Cluster processes with repulsion are rare in the literature. In this work we propose a model based on birth and death processes for which we can approximate the likelihood function. Coefficient estimation can be performed under the Bayesian paradigm via Markov chain Monte Carlo methods.

Joint work with Peter Guttorp and Guilherme Ludwig.

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