Conférence

Stein-Malliavin method for discrete alpha stable point processes (workshop ERC Nemo Processus ponctuels et graphes aléatoires unimodulaires)

Réalisation : 20 mars 2019 Mise en ligne : 20 mars 2019
  • document 1 document 2 document 3
  • niveau 1 niveau 2 niveau 3
  • audio 1 audio 2 audio 3
Descriptif

The notion of discrete alpha-stable point processes generalizes to point processes the notion of stable distribution. It has been introduced and studied by Davydov, Molchanov and Zuyev a few years ago. Their stability property leaves a large degree of variability in the choice of their driving characteristics but enforces a rich mathematical structure. We show how to build a Dirichlet-Malliavin structure for these processes and we apply this framework to several limit theorems. Some known results for Poisson point processes appear as corollaries of the present theorems.

Intervenants
Thèmes
Notice
Lieu de réalisation
Paris
Langue :
Anglais
Crédits
INRIA (Institut national de recherche en informatique et automatique) (Production), INRIA (Institut national de recherche en informatique et automatique) (Publication), François Baccelli (Publication)
Conditions d'utilisation
Droit commun de la propriété intellectuelle
Citer cette ressource:
Inria. (2019, 20 mars). Stein-Malliavin method for discrete alpha stable point processes (workshop ERC Nemo Processus ponctuels et graphes aléatoires unimodulaires). [Vidéo]. Canal-U. https://www.canal-u.tv/101447. (Consultée le 30 juin 2022)
Contacter
Documentation

Références:

 

  • [1] P Armitage and Doll. The age distribution of cancer and a multi-stage theory of carcinogenesis. Br J Cancer, 8(1) :1–12, 1954.
  • [2] S H Moolgavkar, N E Day, and R G Stevens. Two-stage model for carcinogenesis : Epidemiology of breast cancer in females. Journal of the National Cancer Institute, 65 :559–569, 1980.
  • [3] M. C. Pike, M. D. Krailo, B. E. Henderson, J. T. Casagrande, and D. G. Hoel. ’hormonal’ risk factors, ’breast tissue age’ and the age-incidence of breast cancer. Nature, 303(5920) :767–770, 1983.
  • [4] E B Claus, N Risch, and W D Thompson. The calculation of breast cancer risk for women with a first degree family history of ovarian cancer. Breast cancer research and treatment, 28 :115–120, Nov 1993.
  • [5] M H Gail and J Benichou. Validation studies on a model for breast cancer risk. Journal of the National Cancer Institute, 86 :573–575, Apr 1994.
  • [6] G Plu-Bureau, M G Lê, R Sitruk-Ware, J C Thalabard, and P Mauvais-Jarvis. Progestogen use and decreased risk of breast cancer in a cohort study of premenopausal women with benign breast disease. British journal of cancer, 70 :270–277, 1994.
  • [7] Eiliv Lund and Vanessa Dumeaux. Systems epidemiology in cancer. Cancer epidemiology, biomarkers & prevention, 17 :2954–2957, 2008.
  • [8] Eiliv Lund, Vanessa Dumeaux, Tonje Braaten, Anette Hjartåker, Dagrun Engeset, Guri Skeie, and Merethe Kumle. Cohort profile : The norwegian women and cancer study–nowac–kvinner og kreft. International journal of epidemiology, 37 :36–41, 2008.
  • [9] Marco Gerlinger, Andrew J Rowan, Stuart Horswell, James Larkin, David Endesfelder, Eva Gronroos, Pierre Martinez, Nicholas Matthews, Aengus Stewart, Patrick Tarpey, Ignacio Varela, Benjamin Phillimore, Sharmin Begum, Neil Q McDonald, Adam Butler, David Jones, Keiran Raine, Calli Latimer, Claudio R Santos, Mahrokh Nohadani, Aron C Eklund, Bradley Spencer-Dene, Graham Clark, Lisa Pickering, Gordon Stamp, Martin Gore, Zoltan Szallasi, Julian Downward, P Andrew Futreal, and Charles Swanton. Intratumor heterogeneity and branched evolution revealed by multiregion sequencing. The New England journal of medicine, 366 :883–892, Mar 2012.
  • [10] Eiliv Lund, Nicolle Mode, Marit Waaseth, and Jean-Christophe Thalabard. Overdiagnosis of breast cancer in the norwegian breast cancer screening program estimated by the norwegian women and cancer cohort study. BMC cancer, 13 :614, 2013.
  • [11] Mary-Claire King. « the race » to clone brca1. Science, 343 :1462–1465, 2014.
  • [12] Vanessa Dumeaux, Josie Ursini-Siegel, Arnar Flatberg, Hans E Fjosne, Jan-Ole Frantzen, Marit Muri Holmen, Enno Rodegerdts, Ellen Schlichting, and Eiliv Lund. Peripheral blood cells inform on the presence of breast cancer : a population-based case-control study. International journal of cancer, 136 :656–667, 2015.
  • [13] Eiliv Lund, Lars Holden, Hege Bøvelstad, Sandra Plancade, Nicolle Mode, Clara-Cecilie Günther, Gregory Nuel, Jean-Christophe Thalabard, and Marit Holden. A new statistical method for curve group analysis of longitudinal gene expression data illustrated for breast cancer in the nowac postgenome cohort as a proof of principle. BMC medical research methodology, 16 :28, 2016.
  • [14] NE Breslow and NE Day. Statistical Methods in Cancer Research Volume II – The Design and Analysis of Cohort Studies, volume II of IARC Scientific Publications No 82. IARC, 1987.
  • [15] NE Breslow and NE Day. Statistical Methods in Cancer Research. Volume I :The analysis of case- control studies, volume I of IARC Scientific Publications No. 32. IARC, 1980.

Dans la même collection

Sur le même thème