Stochastik (eBook, PDF) - Georgii, Hans-Otto
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Due to the extremely positive reception of this textbook, it is now being published in its 5 th edition. The book provides an introduction to the key ideas and elements of probability theory and statistics. Stochastic concepts, models, and methods are highlighted through typical application examples, then analyzed theoretically and systematically explored.


Hans-Otto Georgii , LMU München.
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Produktbeschreibung


Due to the extremely positive reception of this textbook, it is now being published in its 5th edition. The book provides an introduction to the key ideas and elements of probability theory and statistics. Stochastic concepts, models, and methods are highlighted through typical application examples, then analyzed theoretically and systematically explored.





Hans-Otto Georgii, LMU München.

Autorenporträt
Hans-Otto Georgii, LMU München
Inhaltsangabe
Wahrscheinlichkeitstheorie

Mathematische Beschreibung von Zufallssituationen
Stochastische Standardmodelle
Bedingte Wahrscheinlichkeiten und Unabhängigkeit
Erwartungswert und Varianz
Gesetz der großen Zahl und zentraler Grenzwertsatz
Markov-Ketten
Statistik

Parameterschätzung
Konfidenzbereiche
Rund um die Normalverteilung
Testen von Hypothesen
Asymptotische Tests und Rangtests
Regressions- und Varianzanalyse
Rezensionen
Reviewfor the 3rd editionby Vladimir P. Kurenok (MathSciNet) "The 3rd edition of the book has been further extended and improved. The textbook is basedon a series of lectures taught by the author for many years at the Mathematical Institute of the University of Munich. The material of the book covers two one-semester courses in probability and mathematical statistics, respectively. All chapters are equipped with exercises of varying degrees of difficulty that help to clarify the concepts. The first part of the book is an introduction to probability theory. The material is presented using little of the measure-theoretical background but rather application-oriented examples that preserve its introductory character. Topics range from classical probability distributions to conditional distributions and limit theorems. A short introduction to Markov chains is also given. The second part of the book gives an introduction to mathematical statistics and describes main statistical procedures: parameter and interval estimation, hypothesis testing, linear regression and basics of the analysis of variance approach. The book can be used by undergraduate mathematics majors but also by science and engineering students who wish not only to apply probability and statistics but also to understand how the methods work."