Lectures on Probability Theory and Statistics

1. Front Matter

   Pages I-VIII

   PDF

2. Erwin Bolthausen: Large Deviations and Interacting Random Walks

   1. Front Matter

      Pages 4-4

      PDF

   2. Introduction

      Pages 5-6

   3. On the construction of the three-dimensional polymer measure

      Pages 7-38

   4. Self-attracting random walks

      Pages 39-104

   5. One-dimensional pinning-depinning transitions

      Pages 105-120

3. Back Matter

   Pages 121-125

   PDF

4. Edwin Perkins:Dawson—Watanabe Superprocesses and Measure-valued Diffusions

   1. Front Matter

      Pages 127-127

      PDF

   2. Introduction

      Pages 132-134

   3. Branching Particle Systems and Dawson-Watanabe Superprocesses

      Pages 135-192

   4. Sample Path Properties of Superprocesses

      Pages 193-246

   5. Interactive Drifts

      Pages 247-280

   6. Spatial Interactions

      Pages 281-317

5. Back Matter

   Pages 318-329

   PDF

6. Aad van der Vaart: Semiparametric Statistics

   1. Front Matter

      Pages 332-332

      PDF

   2. Lecture: Introduction, Tangent Sets

      Pages 336-345

   3. Lecture: Lower Bounds

      Pages 346-356

   4. Lecture: Calculus of Scores

      Pages 357-369

   5. Lecture: Gaussian Approximations

      Pages 370-382

   6. Lecture: Empirical Processes and Consistency of Z-Estimators

      Pages 383-394

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 8th-24th July, 1999. We thank the authors for all the hard work they accomplished. Their lectures are a work of reference in their domain. The School brought together 85 participants, 31 of whom gave a lecture concerning their research work. At the end of this volume you will find the list of participants and their papers. Finally, to facilitate research concerning previous schools we give here the number of the volume of "Lecture Notes" where they can be found: Lecture Notes in Mathematics 1975: n ° 539- 1971: n ° 307- 1973: n ° 390- 1974: n ° 480- 1979: n ° 876- 1976: n ° 598- 1977: n ° 678- 1978: n ° 774- 1980: n ° 929- 1981: n ° 976- 1982: n ° 1097- 1983: n ° 1117- 1988: n ° 1427- 1984: n ° 1180- 1985-1986 et 1987: n ° 1362- 1989: n ° 1464- 1990: n ° 1527- 1991: n ° 1541- 1992: n ° 1581- 1993: n ° 1608- 1994: n ° 1648- 1995: n ° 1690- 1996: n ° 1665- 1997: n ° 1717- 1998: n ° 1738- Lecture Notes in Statistics 1971: n ° 307- Table of Contents Part I Erwin Bolthausen: Large Deviations and Interacting Random Walks 1 On the construction of the three-dimensional polymer measure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Self-attracting random walks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3 One-dimensional pinning-depinning transitions. . . . . . . . . . . 105 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

• Estimator
• Likelihood
• Parametric statistics
• Probability theory
• Random Walk
• large deviations
• semiparametric statistics
• statistics
• superprocesses

• Laboratoire de Mathématiques Appliquées UMR CNRS 6620, Université Blaise Pascal, Aubière Cedex, France

  Pierre Bernard

• Inst.of Mathematics, University of Zurich, Zurich, Switzerland

  Erwin Bolthausen

• Dept.of Mathematics, Free University, HV Amsterdam, Netherlands

  Aad Vaart

• Dept.of Mathematics, The University of British Columbia, Vancouver, Canada

  Edwin Perkins

Policies and ethics