Lectures on Probability Theory and Statistics: Ecole D'Ete De Probabilites De Saint-Flour Xxix - 1999 (Lecture Notes in Mathematics)

E. Bolthausen

ISBN 10: 3540437363 / ISBN 13: 9783540437369

Editore: Springer 2002-10-03, 2002

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Codice articolo 6666-IUK-9783540437369

Dati bibliografici

• Titolo: Lectures on Probability Theory and Statistics: Ecole D'Ete De Probabilites De Saint-Flour Xxix - 1999 (Lecture Notes in Mathematics)
• Editore: Springer 2002-10-03
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540437363
• ISBN 13: 9783540437369
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

This new volume of the long-established St. Flour Summer School of Probability includes the notes of the three major lecture courses by Erwin Bolthausen on "Large Deviations and Iterating Random Walks" by Edwin Perkins on "Dawson-Watanabe Superprocesses and Measure-Valued Diffusions" and by Aad van der Vaart on "Semiparametric Statistics"

Contenuti

Erwin Bolthausen: Large Deviations and Interacting Random Walks.- On the construction of the three-dimensional polymer measure.- Self-attracting random walks.- One-dimensional pinning-depinning transitions.- Edwin Perkins:Dawson—Watanabe Superprocesses and Measure-valued Diffusions.- Branching Particle Systems and Dawson-Watanabe Superprocesses.- Sample Path Properties of Superprocesses.- Interactive Drifts.- Spatial Interactions.- Aad van der Vaart: Semiparametric Statistics.- Lecture: Introduction, Tangent Sets.- Lecture: Lower Bounds.- Lecture: Calculus of Scores.- Lecture: Gaussian Approximations.- Lecture: Empirical Processes and Consistency of Z-Estimators.- Lecture: Empirical Processes and Normality of Z-Estimators.- Lecture: Efficient Score and One-step Estimators.- Lecture: Rates of Convergence.- Lecture: Maximum and Profile Likelihood.- Lecture: Infinite-dimensional Z-Estimators.