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  • © 2000

Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVIII - 1998

Editors:

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1738)

Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)

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Table of contents (24 chapters)

  1. Front Matter

    Pages I-XIII
  2. Introduction

    • Michel Emery
    Pages 3-4
  3. Connexions et martingales

    • Michel Emery
    Pages 38-51
  4. Fonctions convexes et comportement des martingales

    • Michel Emery, Arkadi Nemirovski, Dan Voiculescu
    Pages 52-72
  5. Mouvements browniens et applications harmoniques

    • Michel Emery, Arkadi Nemirovski, Dan Voiculescu
    Pages 73-84
  6. Preface

    • Arkadi Nemirovski
    Pages 88-88
  7. Estimating regression functions from Sobolev balls

    • Arkadi Nemirovski
    Pages 113-131
  8. Spatial adaptive estimation on Sobolev balls

    • Arkadi Nemirovski
    Pages 132-154
  9. Aggregation of estimates, I

    • Arkadi Nemirovski
    Pages 183-206
  10. Aggregation of estimates, II

    • Arkadi Nemirovski
    Pages 207-227
  11. Estimating functionals, I

    • Arkadi Nemirovski
    Pages 228-257
  12. Estimating functionals, II

    • Arkadi Nemirovski
    Pages 258-277
  13. Introduction

    • Dan Voiculescu
    Pages 283-284

About this book

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access