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The work presents an introduction to probability theory and statistics in which both subject fields are compared equally in two separate sections. In contrast to many other introductory text books, there is no separation of discrete and general models. The current new and third edition contains numerous new illustrations and updated exercises.
Introduction to the main concepts of probability theory
Exceedingly positive incorporation of the first two editions
Numerous examples of application and practice exercises updated for the 3rd edition
Der Text bietet eine Einführung in die Wahrscheinlichkeitstheorie und Statistik, wobei die beiden genannten Fachgebiete in zwei separaten Teilen gleichberechtigt nebeneinander gestellt sind. Im Unterschied zu vielen anderen einführenden Lehrbüchern erfolgt keine Trennung in diskrete und allgemeine Modelle. Die dritte Auflage enthält zahlreiche neue Illustrationen und aktualisierte Übungsaufgaben.
Einführung in die zentralen Ideen der Wahrscheinlichkeitstheorie. Überaus positive Aufnahme der ersten beiden Auflagen. Zahlreiche für die 3. Auflage aktualisierte Anwendungs- und Übungsbeispiele.
Introduction to the main concepts of probability theory
Exceedingly positive incorporation of the first two editions
Numerous examples of application and practice exercises updated for the 3rd edition
Der Text bietet eine Einführung in die Wahrscheinlichkeitstheorie und Statistik, wobei die beiden genannten Fachgebiete in zwei separaten Teilen gleichberechtigt nebeneinander gestellt sind. Im Unterschied zu vielen anderen einführenden Lehrbüchern erfolgt keine Trennung in diskrete und allgemeine Modelle. Die dritte Auflage enthält zahlreiche neue Illustrationen und aktualisierte Übungsaufgaben.
Einführung in die zentralen Ideen der Wahrscheinlichkeitstheorie. Überaus positive Aufnahme der ersten beiden Auflagen. Zahlreiche für die 3. Auflage aktualisierte Anwendungs- und Übungsbeispiele.
Review for the 3rd edition by Vladimir P. Kurenok (MathSciNet)
"The 3rd edition of the book has been further extended and improved. The textbook is based on 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."
"The 3rd edition of the book has been further extended and improved. The textbook is based on 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."