Mathematics of Chance

Mathematics of Chance utilizes simple, real–world problems–some of which have only recently been solved–to explain fundamental probability theorems, methods, and statistical reasoning. Jirí Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems.
Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics 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 in understanding most of the material presented here, and little knowledge of pure statistics is required. Jirí Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.

Spis treści:
Preface.
Acknowledgments.
Introduction.
Probability.
Random Walk.
Principle of Reflection.
Records.
Problems that Concern Waiting.
Problems that Concern Optimization.
Problems on Calculating Probability.
Problems on Calculating Expectation.
Problems on Statistical Methods.
The LAD Method.
Probability in Mathematics.
Matrix Games.
References.
Topic Index.
Author Index.

Nota biograficz na:
JIRÍ ANDEL is Vice Dean of the Faculty of Mathematics and Physics at Charles University, Prague, Czech Republic. He is the author of eighty–five scientific papers and four books written in Czech, two of which have been translated into German. Mathematics of Chance is the first of his books to be translated into English.

Okładka tylna:
Mathematics of Chance utilizes simple, real–world problems–some of which have only recently been solved–to explain fundamental probability theorems, methods, and statistical reasoning. Jirí Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems.
Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics 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 in understanding most of the material presented here, and little knowledge of pure statistics is required. Jirí Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.