Aad van der vaart's Books

Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXIX - 1999

By: Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart

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Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXIX - 1999

By: Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart

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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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469

Publisher

Springer

Published Date

ISBN 10

3540479449

ISBN 13

9783540479444

Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,Aad van der Vaart

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Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,Aad van der Vaart

Explosive growth in computing power has made Bayesian methods for infinite-dimensional models - Bayesian nonparametrics - a nearly universal framework for inference, finding practical use in numerous subject areas. Written by leading researchers, this authoritative text draws on theoretical advances of the past twenty years to synthesize all aspects of Bayesian nonparametrics, from prior construction to computation and large sample behavior of posteriors. Because understanding the behavior of posteriors is critical to selecting priors that work, the large sample theory is developed systematically, illustrated by various examples of model and prior combinations. Precise sufficient conditions are given, with complete proofs, that ensure desirable posterior properties and behavior. Each chapter ends with historical notes and numerous exercises to deepen and consolidate the reader's understanding, making the book valuable for both graduate students and researchers in statistics and machine learning, as well as in application areas such as econometrics and biostatistics.

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671

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Cambridge University Press

Published Date

ISBN 10

1108210120

ISBN 13

9781108210126

Weak Convergence and Empirical Processes

With Applications to Statistics

By: Aad van der vaart,Jon Wellner

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Weak Convergence and Empirical Processes

With Applications to Statistics

By: Aad van der vaart,Jon Wellner

This book explores weak convergence theory and empirical processes and their applications to many applications in statistics. Part one reviews stochastic convergence in its various forms. Part two offers the theory of empirical processes in a form accessible to statisticians and probabilists. Part three covers a range of topics demonstrating the applicability of the theory to key questions such as measures of goodness of fit and the bootstrap.

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Page Count

523

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Springer Science & Business Media

Published Date

ISBN 10

1475725450

ISBN 13

9781475725452

Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,Aad van der Vaart

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Fundamentals of Nonparametric Bayesian Inference

By: Subhashis Ghosal,Aad van der Vaart

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671

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Cambridge University Press

Published Date

ISBN 10

1108210120

ISBN 13

9781108210126

Weak Convergence and Empirical Processes

With Applications to Statistics

By: Aad van der vaart,Jon Wellner

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Weak Convergence and Empirical Processes

With Applications to Statistics

By: Aad van der vaart,Jon Wellner

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523

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Springer Science & Business Media

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ISBN 10

1475725450

ISBN 13

9781475725452

An introduction to mathematical statistics

By: Aad van der Vaart,Marianne Jonker,Fetsje Bijma

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An introduction to mathematical statistics

By: Aad van der Vaart,Marianne Jonker,Fetsje Bijma

Statistics is the science that focuses on drawing conclusions from data, by modeling and analyzing the data using probabilistic models. In 'An Introduction to Mathematical Statistics' the authors describe key concepts from statistics and give a mathematical basis for important statistical methods. Much attention is paid to the sound application of those methods to data. The three main topics in statistics are estimators, tests, and confidence regions. The authors illustrate these in many examples, with a separate chapter on regression models, including linear regression and analysis of variance. They also discuss the optimality of estimators and tests, as well as the selection of the best-fitting model.Each chapter ends with a case study in which the described statistical methods are applied. This book assumes a basic knowledge of probability theory, calculus, and linear algebra.

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Page Count

385

Publisher

Amsterdam University Press

Published Date

ISBN 10

9048536111

ISBN 13

9789048536115

Book's by Aad van der vaart

Lectures on Probability Theory and Statistics

Lectures on Probability Theory and Statistics

Fundamentals of Nonparametric Bayesian Inference

Fundamentals of Nonparametric Bayesian Inference

Weak Convergence and Empirical Processes

Weak Convergence and Empirical Processes

Fundamentals of Nonparametric Bayesian Inference

Fundamentals of Nonparametric Bayesian Inference

Weak Convergence and Empirical Processes

Weak Convergence and Empirical Processes

An introduction to mathematical statistics

An introduction to mathematical statistics

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