Detecting abrupt changes in the gradient of a Gaussian field and application to the environmental sciences

zbMath1441.62563MaRDI QIDQ2197345

Edith Gabriel

Publication date: 31 August 2020

Published in: Journal de la Société Française de Statistique \& Revue de Statistique Appliquée (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item/JSFS_2007__148_2_3_0

zbMATH Keywords

powergeostatisticsGaussian random fieldsexcursion setgradient estimation\( \chi^2\) random fields

Mathematics Subject Classification ID

Random fields; image analysis (62M40) Gaussian processes (60G15) Applications of statistics to environmental and related topics (62P12) Geostatistics (86A32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Estimating and testing zones of abrupt change for spatial data
• Correlation theory of stationary and related random functions. Volume I: Basic results
• On excursion sets, tube formulas and maxima of random fields.
• Local Likelihood Tracking of Fault Lines and Boundaries
• Extrema and level crossings of χ² processes
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• Testing for signals with unknown location and scale in a χ²random field, with an application to fMRI
• Directional Rates of Change Under Spatial Process Models
• The size of the connected components of excursion sets of χ², t and F fields

This page was built for publication: Detecting abrupt changes in the gradient of a Gaussian field and application to the environmental sciences