Detecting abrupt changes in random fields

Antoine Chambaz

ESAIM: Probability and Statistics (2002)

  • Volume: 6, page 189-209
  • ISSN: 1292-8100

Abstract

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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 under mild, discussed assumptions. Simple examples are provided.

How to cite

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Chambaz, Antoine. "Detecting abrupt changes in random fields." ESAIM: Probability and Statistics 6 (2002): 189-209. <http://eudml.org/doc/245630>.

@article{Chambaz2002,
abstract = {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 $\phi $-mixing. Penalization of the criterion function when the size of the true model is unknown is performed. All the results apply under mild, discussed assumptions. Simple examples are provided.},
author = {Chambaz, Antoine},
journal = {ESAIM: Probability and Statistics},
keywords = {detection of change-points; $M$-estimation; penalized $M$-estimation; concentration inequalities; maximal inequalities; mixing},
language = {eng},
pages = {189-209},
publisher = {EDP-Sciences},
title = {Detecting abrupt changes in random fields},
url = {http://eudml.org/doc/245630},
volume = {6},
year = {2002},
}

TY - JOUR
AU - Chambaz, Antoine
TI - Detecting abrupt changes in random fields
JO - ESAIM: Probability and Statistics
PY - 2002
PB - EDP-Sciences
VL - 6
SP - 189
EP - 209
AB - 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 $\phi $-mixing. Penalization of the criterion function when the size of the true model is unknown is performed. All the results apply under mild, discussed assumptions. Simple examples are provided.
LA - eng
KW - detection of change-points; $M$-estimation; penalized $M$-estimation; concentration inequalities; maximal inequalities; mixing
UR - http://eudml.org/doc/245630
ER -

References

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