Exercises in Probability

A Guided Tour from Measure Theory to Random Processes, Via Conditioning
Erscheinungsjahr 2003
ISBN: 978-0-521-82585-6
Verlag: Cambridge University Press

Buch, Englisch, 252 Seiten, Format (B × H): 184 mm x 261 mm, Gewicht: 604 g

Reihe: Cambridge Series in Statistical and Probabilistic Mathematics

This book was first published in 2003. Derived from extensive teaching experience in Paris, this book presents around 100 exercises in probability. The exercises cover measure theory and probability, independence and conditioning, Gaussian variables, distributional computations, convergence of random variables, and random processes. For each exercise the authors have provided detailed solutions as well as references for preliminary and further reading. There are also many insightful notes to motivate the student and set the exercises in context. Students will find these exercises extremely useful for easing the transition between simple and complex probabilistic frameworks. Indeed, many of the exercises here will lead the student on to frontier research topics in probability. Along the way, attention is drawn to a number of traps into which students of probability often fall. This book is ideal for independent study or as the companion to a course in advanced probability theory.

Autoren/Hrsg.

Chaumont, Loic

Chaumont, L.

Yor, Marc

Yor, M.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

1. Measure theory and probability; 2. Independence and conditioning; 3. Gaussian variables; 4. Distributional computations; 5. Convergence of random variables; 6. Random processes.