Mathematics of Chance

Beschreibung

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.
Eine Einführung in die elementare Wahrscheinlichkeitstheorie, gedacht als Taschenbuch für den praktisch arbeitenden Statistiker. Mit Hilfe grundlegender Konzepte wird die Lösung vielfältigster klassischer und moderner Probleme (auch aus der Spieltheorie) demonstriert, die Büchern und Zeitschriften entnommen wurden. Anhand dieser praxisnahen Beispiele zeigt der Autor, welche Methoden man anwenden kann und wie man statistisch argumentiert. Jedes Kapitel beginnt mit einfachen Zusammenhängen und schreitet zu den komplexeren, allgemeineren mathematischen Formalismen fort.

Autor*in

Jirí Andel

Themen in »Mathematics of Chance«

Probability & Mathematical Statistics Statistics Statistik Wahrscheinlichkeitsrechnung Wahrscheinlichkeitsrechnung u. mathematische Statistik

Stimmen zu »Mathematics of Chance«

"Andel employs classic and modern, real-world problems to explain fundamental probability theorems, methods, and statistical reasoning." (SciTech Book News, Vol. 25, No. 2 June 2001) "...can be used...as a guide for applied statisticians in industry and science...recommended for undergraduate-level library collections." (Choice, Vol. 39, No. 2, October 2001) "Its mathematical layout is excellent...useful to teachers seeking material for a fresh slant to lectures, a source of homework problems..." (The American Statistician, November 2001) "...a compilation of interesting and popular problems concerning mainly probability theory." (Short Book Reviews, Vol. 21, No. 3, December 2001) "a compact reference" (Zentrablatt Math, Vol.978, No.03, 2002)
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"Andel employs classic and modern, real-world problems to explain fundamental probability theorems, methods, and statistical reasoning." (SciTech Book News, Vol. 25, No. 2 June 2001) "Publisher's description: '...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.'" (Mathematical Reviews, Issue 2001j) "...can be used...as a guide for applied statisticians in industry and science...recommended for undergraduate-level library collections." (Choice, Vol. 39, No. 2, October 2001) "Its mathematical layout is excellent...useful to teachers seeking material for a fresh slant to lectures, a source of homework problems..." (The American Statistician, November 2001) "...a compilation of interesting and popular problems concerning mainly probability theory." (Short Book Reviews, Vol. 21, No. 3, December 2001) "a compact reference" (Zentrablatt Math, Vol.978, No.03, 2002)
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