Probability Through Problems

1. Auflage 2001. Corr. 2. printing 2003
ISBN: 978-0-387-95063-1
Verlag: Springer

Buch, Englisch, 260 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1240 g

Reihe: Problem Books in Mathematics

This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Zastawniak, Tomasz Jerzy

Capinski, Marek

Fachgebiete

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

Inhaltsverzeichnis

Terminology and Notation.- 1 Modeling Random Experiments.- 2 Classical Probability Spaces.- 3 Fields.- 4 Finitely Additive Probability.- 5 Sigma Fields.- 6 Countably Additive Probability.- 7 Conditional Probability and Independence.- 8 Random Variables and Their Distributions.- 9 Expectation and Variance.- 10 Conditional Expectation.- 11 Characteristic Functions.- 12 Limit Theorems.