Mathematics of Chance

Mathematics of Chance utilizes simple, real-world problems-some ofwhich have only recently been solved-to explain fundamentalprobability theorems, methods, and statistical reasoning. JiriAndel begins with a basic introduction to probability theory andits important points before moving on to more specific sections onvital aspects of probability, using both classic and modernproblems.
Each chapter begins with easy, realistic examples before coveringthe general formulations and mathematical treatments used. Thereader will find ample use for a chapter devoted to matrix gamesand problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A specialchapter utilizes problems that relate to areas of mathematicsoutside of statistics and considers certain mathematical conceptsfrom a probabilistic point of view. Sections and problems covertopics including:
* Random walks
* Principle of reflection
* Probabilistic aspects of records
* Geometric distribution
* Optimization
* The LAD method, and more
Knowledge of the basic elements of calculus will be sufficient inunderstanding most of the material presented here, and littleknowledge of pure statistics is required. Jiri Andel has produced acompact reference for applied statisticians working in industry andthe social and technical sciences, and a book that suits the needsof students seeking a fundamental understanding of probabilitytheory.