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Probability in Banach Spaces, 9

  • Jørgen Hoffmann-Jørgensen
  • James Kuelbs
  • Michael B. Marcus

Part of the Progress in Probability book series (PRPR, volume 35)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Random Series, Exponential Moments, and Martingales

  3. Strong Limit Theorems

  4. Weak Convergence

  5. Large Deviations and Measure Inequalities

  6. Gaussian Chaos and Wiener Measures

  7. Topics in Empirical Processes, Spacing Estimates and Applications to Maximum Likelihood Theory

About these proceedings

Introduction

The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August 16-21, 1993. A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques­ tions that are asked. The goal is to examine the behavior of large classes of stochastic processes and to describe it in terms of a few simple prop­ erties that the processes share. The reward of research like this is that occasionally one can gain deep insight, even about familiar processes, by stripping away details, that in hindsight turn out to be extraneous. A good understanding about the disciplines involved in this field can be obtained from the recent book, Probability in Banach Spaces, Springer-Verlag, by M. Ledoux and M. Thlagrand. On page 5, of this book, there is a list of previous conferences in probability in Banach spaces, including the other eight international conferences. One can see that research in this field over the last twenty years has contributed significantly to knowledge in probability and has had important applications in many other branches of mathematics, most notably in statistics and functional analysis.

Keywords

Ergodic theory Estimator Gaussian measure Law of large numbers Likelihood Martingale Median Random variable Stochastic processes functional analysis statistics stochastic process

Editors and affiliations

  • Jørgen Hoffmann-Jørgensen
    • 1
  • James Kuelbs
    • 2
  • Michael B. Marcus
    • 3
  1. 1.Mathematical InstituteAarhus UniversityAarhus CDenmark
  2. 2.Department of MathematicsUniversity of WisconsinMadisonUSA
  3. 3.Department of MathematicsCity College of New YorkNew YorkUSA

Bibliographic information