作者：Giné, E; Mason, DM; Zaitsev, AY
作者单位：University of Connecticut; University of Delaware; Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
摘要：The notion of an L-1-norm density estimator process indexed by a class of kernels is introduced. Then a functional central limit theorem and a Glivenko-Cantelli theorem are established for this process. While assembling the necessary machinery to prove these results, a body of Poissonization techniques and restricted chaining methods is developed, which is useful for studying weak convergence of general processes indexed by a class of functions. None of the theorems imposes any condition at al...
作者：Jacod, J; Jakubowski, A; Mémin, J
作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite; Sorbonne Universite; Nicolaus Copernicus University; Universite de Rennes
