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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Interacting cluster point process model for epidermal nerve fibers

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Author(s):
Garcia, Nancy L. [1] ; Guttorp, Peter [2] ; Ludwig, Guilherme [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Campinas, SP - Brazil
[2] Norwegian Comp Ctr, Oslo - Norway
Total Affiliations: 2
Document type: Journal article
Source: SPATIAL STATISTICS; v. 35, MAR 2020.
Web of Science Citations: 0
Abstract

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. We examine the processes that can be described with our model, how coefficient estimation can be performed under the Bayesian paradigm via Markov chain Monte Carlo methods, and detail approaches for the implementation of efficient MCMC sampling schemes. We study the performance of the estimation procedure through a simulation study. An application to data from skin blister biopsy images of ENFs is presented. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 14/26419-0 - Analysis of spatio-temporal aggregated data
Grantee:Nancy Lopes Garcia
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 16/09390-4 - Inference for non-Poissonian point processes
Grantee:Guilherme Vieira Nunes Ludwig
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 18/09877-6 - 2018 Joint Statistical Meetings
Grantee:Guilherme Vieira Nunes Ludwig
Support Opportunities: Research Grants - Meeting - Abroad
FAPESP's process: 17/15306-9 - Incorporating Functional covariates into nonparametric regression models
Grantee:Nancy Lopes Garcia
Support Opportunities: Regular Research Grants