Displaying similar documents to “New bounds for union-free families of sets.”

Detecting abrupt changes in random fields

Antoine Chambaz (2002)

ESAIM: Probability and Statistics


This paper is devoted to the study of some asymptotic properties of a M -estimator in a framework of detection of abrupt changes in random field’s distribution. This class of problems includes e.g. recovery of sets. It involves various techniques, including M -estimation method, concentration inequalities, maximal inequalities for dependent random variables and φ -mixing. Penalization of the criterion function when the size of the true model is unknown is performed. All the results apply...