Real Analysis and Probability

R. M. Dudley (Autor)

Buch | Hardcover

450 Seiten

2017
Taylor & Francis Ltd (Verlag)
978-1-315-89709-7 (ISBN)

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Written by one of the best-known probabilists in the world this text offers a clear and modern presentation of modern probability theory and an exposition of the interplay between the properties of metric spaces and those of probability measures. This text is the first at this level to include discussions of the subadditive ergodic theorems, metrics for convergence in laws and the Borel isomorphism theory. The proofs for the theorems are consistently brief and clear and each chapter concludes with a set of historical notes and references. This book should be of interest to students taking degree courses in real analysis and/or probability theory.

1. Foundations; Set Theory 2. General Topology 3. Measures 4. Integration 5. Lp Spaces; Introduction to Functional Analysis 6. Convex Sets and Duality of Normed Spaces 7. Measure, Topology, and Differentiation 8. Introduction to Probability Theory 9. Convergence of Laws and Central Limit Theorems 10. Conditional Expectations and Martingales 11. Convergence of Laws on Separable Metric Spaces 12. Stochastic Processes 13. Measurability: Borel Isomorphism and Analytic Sets

Erscheinungsdatum	16.01.2018
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Statistik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-315-89709-1 / 1315897091
ISBN-13	978-1-315-89709-7 / 9781315897097
Zustand	Neuware