Probabilistic Symmetries and Invariance Principles

• Κύριος συγγραφέας: Kallenberg, Olav (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2005.
• Σειρά: Probability and Its Applications,
• Θέματα: Statistics.; Probabilities.; Statistical Theory and Methods.; Probability Theory and Stochastic Processes.

This is the first comprehensive treatment of the three basic symmetries of probability theory—contractability, exchangeability, and rotatability—defined as invariance in distribution under contractions, permutations, and rotations. Originating with the pioneering work of de Finetti from the 1930...

Πίνακας περιεχομένων:

• The Basic Symmetries
• Conditioning and Martingales
• Convergence and Approximation
• Predictable Sampling and Mapping
• Decoupling Identities
• Homogeneity and Reflections
• Symmetric Arrays
• Multi-variate Rotations
• Symmetric Measures in the Plane.