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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.
List of contents
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.
About the author
JIRI 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.
Summary
This introduction to elementary probability theory is intended to serve as a pocketbook for applied statisticians. Topics include random walks; the principle of reflection; the probabilistic aspects of records; the geometric distribution; optimization and others.
Additional text
"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)
Report
"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)
