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Inférence statistique sur des données fonctionnelles by Collectif

Inférence statistique sur des données fonctionnelles

by Collectif
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Book cover type: Paperback
  • ISBN13: 9786131593468
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 160
  • Original Price: GBP 43.0
  • Language: French
  • Edition: N/A
  • Item Weight: 245 grams
  • BISAC Subject(s): Probability & Statistics / General

Dans ce livre, plusieurs tests statistiques pour des variables fonctionnelles sont proposés. On y trouve deux méthodes pour tester la non-corrélation des variables fonctionnelles, deux autres pour l'homogénéité d'une variable fonctionnelle, un test d'indépendance pour vecteurs aléatoires et enfin un test d'indépendance pour variables fonctionnelles. Pour chacune des méthodes proposées, nous définissons la statistique de test utilisée et déterminons sa loi limite sous hypothèse nulle, ce qui permet de préciser la méthode de test introduite. Lorsque des variables fonctionnelles sont considérées, on montre comment ces méthodes s'appliquent, notamment en projetant sur des sous-espaces engendrés par des fonctions B-splines ou des fonctions d'ondelettes, selon le type d'espace de Hilbert considéré. Des études par simulations, permettant d'apprécier les performances des méthodes proposées, et de comparer celles-ci à des méthodes classiques, sont effectuées dans chaque chapitre.

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