rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Lectures on Probability Theory and Statistics
    sub title: Ecole d'Ete de Probabilites de Saint-Flour XXVIII - 1998
  title info:
    title: MSC 2000: 46L10, 46L53
  name:
    name part: Emery, M.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Nemirovski, A.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Voiculescu, D.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Bernard, Pierre.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2000
    edition: 1st ed. 2000.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 349 p. online resource.
  abstract: This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.
  table of contents: Variétés, vecteurs, covecteurs, diffuseurs, codiffuseurs -- Semimartingales dans une variété et géométrie d'ordre 2 -- Connexions et martingales -- Fonctions convexes et comportement des martingales -- Mouvements browniens et applications harmoniques -- Preface -- Estimating regression functions from Hölder balls -- Estimating regression functions from Sobolev balls -- Spatial adaptive estimation on Sobolev balls -- Estimating signals satisfying differential inequalities -- Aggregation of estimates, I -- Aggregation of estimates, II -- Estimating functionals, I -- Estimating functionals, II -- Noncommutative probability and operator algebra background -- Addition of freely independent noncommutative random variables -- Multiplication of freely independent noncommutative random variables -- Generalized canonical form, noncrossing partitions -- Free independence with amalgamation -- Some basic free processes -- Random matrices in the large N limit -- Free entropy.
  note: by M. Emery, A. Nemirovski, D. Voiculescu ; edited by Pierre Bernard.
  subject:
    topic: Probabilities
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Differential geometry
  subject:
    topic: Statistics
  subject:
    topic: Probability Theory and Stochastic Processes
  subject:
    topic: Analysis
  subject:
    topic: Differential Geometry
  subject:
    topic: Statistical Theory and Methods
  classification: QA273.A1-274.9
  classification: QA274-274.9
  classification: 519.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 1738
  identifier: 9783540450290
  identifier: https://doi.org/10.1007/BFb0106703
  record info:
    record creation date: 121227
    record change date: 20191024201723.0
    record identifier: 978-3-540-45029-0