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Stochastics : introduction to probability theory and statistics

This second revised and extended edition presents the fundamental ideas and results of both, probability theory and statistics, and comprises the material of a one-year course. It is addressed to students with an interest in the mathematical side of stochastics. Stochastic concepts, models and methods are motivated by examples and developed and analysed systematically. Some measure theory is included, but this is done at an elementary level that is in accordance with the introductory character of the book. A large number of problems offer applications and supplements to the text.

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  • "Main description: This book is a translation of the third edition of the well accepted German textbook 'Stochastik', which presents the fundamental ideas and results of both probability theory and statistics, and comprises the material of a one-year course. The stochastic concepts, models and methods are motivated by examples and problems and then developed and analysed systematically."
  • "Die ausgesprochen positive Aufnahme dieses Lehrbuches bei Dozenten und Studierenden führte zum raschen Erscheinen der 2. Auflage, die an zahlreichen Stellen bearbeitet und ergänzt wurde. Das Buch gibt eine Einführung in die zentralen Ideen und Ergebnisse der Wahrscheinlichkeitstheorie und Statistik."
  • "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."
  • "The fourth German edition of this textbook presents the fundamental ideas and results of both probability theory and statistics. It comprises the material of a one-year course, and is addressed to students of mathematics as well as scientists and computer scientists with interest in the mathematical aspects of stochastics."
  • "Review text: "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."Vladimir P. Kurenok, MathSciNet."
  • "This book is a translation of the third edition of the well accepted German textbook 'Stochastik', which presents the fundamental ideas and results of both probability theory and statistics, and comprises the material of a one-year course. The stochastic concepts, models and methods are motivated by examples and problems and then developed and analysed systematically."
  • "This second revised and extended edition presents the fundamental ideas and results of both, probability theory and statistics, and comprises the material of a one-year course. It is addressed to students with an interest in the mathematical side of stochastics. Stochastic concepts, models and methods are motivated by examples and developed and analysed systematically. Some measure theory is included, but this is done at an elementary level that is in accordance with the introductory character of the book. A large number of problems offer applications and supplements to the text."@en

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  • "Textbooks"
  • "Textbooks"@en
  • "Electronic books"@en
  • "Electronic books"
  • "Livres électroniques"
  • "Computer network resources"
  • "Lehrbuch"
  • "Online-Publikation"

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  • "Stochastics : introduction to probability theory and statistics"@en
  • "Stochastik : Einfþ̇·rung in die Wahrscheinlichkeitstheorie und Statistik"
  • "Stochastik : einführung in die wahrscheinlichkeitstheorie und statistik"
  • "Stochastik Einführung in die Wahrscheinlichkeitstheorie und Statistik = Stochastics"
  • "Stochastik einführung in die Wahrscheinlichkeitstheorie und Statistik"
  • "Stochastics : introduction to probability and statistics"@en
  • "Stochastics : introduction to probability and statistics"
  • "Stochastics Introduction to Probability and Statistics"
  • "Stochastik einfuhrung in die wahrscheinlichkeitstheorie und statistik"
  • "Stochastik: Einführung in die Wahrscheinlichkeitstheorie und Statistik"
  • "Stochastik : Einführung in die Wahrscheinlichkeitstheorie und Statistik"
  • "Stochastik : Einführung in die Wahrscheinlichkeitstheorie und Statistik = Stochastics"
  • "Stochastik"
  • "Stochastik Einführung in die Wahrscheinlichkeitstheorie und Statistik"
  • "Stochastics : Introduction to Probability and Statistics"
  • "Stochastics introduction to probability and statistics"
  • "Stochastics introduction to probability and statistics"@en

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