A Natural Introduction to Probability Theory

• Main Author: Meester, Ronald (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2008.
• Edition: Second Edition.
• Subjects: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

According to Leo Breiman (1968), probability theory has a right and a left hand. The right hand refers to rigorous mathematics, and the left hand refers to ‘pro- bilistic thinking’. The combination of these two aspects makes probability theory one of the most exciting ?elds in mathematics. One can s...

Table of Contents:

• Experiments
• Random Variables and Random Vectors
• Random Walk
• Limit Theorems
• Intermezzo
• Continuous Random Variables and Vectors
• Infinitely Many Repetitions
• The Poisson Process
• Limit Theorems
• Extending the Probabilities.