Wahrscheinlichkeit: Eine Einführung für Bachelor-Studenten

René L. Schilling

Published by De Gruyter 2017

Wahrscheinlichkeit

Eine Einführung für Bachelor-Studenten

Probability

René L. Schilling

In the series De Gruyter Studium

https://doi.org/10.1515/9783110350661

Overview
Contents

About this book

Probability theory is a fundamental component of many fields of study. This textbook facilitates a rapid and precise understanding of key aspects of probability theory.

Offers a concise, accurate presentation including many examples and exercises
Intended for students of mathematics, natural science, economics, and engineering
Useful a background reading for a course or for self-study

Author / Editor information

René L. Schilling, Technische Universität Dresden, Germany.

Reviews

„Es ist insgesamt kompakt und aufs Wesentliche reduziert und schön zu lesen."
Dr. Michael Karbach, Bergische Universität Wuppertal

„Kompaktes Buch, welches alle wichtigen Aspekte systematisch und verständlich aufbereitet."
Prof. Dr. Kurt-Ulrich Witt, Bonn-Rhein-Sieg Universität

"[...] this book would be ideal for students in the third year of their undergraduate studies and would be a perfect refresher for first year PhD students."
Enrico Scalas in: Mathematical Reviews Clippings (2018), MR3726853

"The book is well written in a concise style with many examples during the text and nice problems at the end of each chapter (a solution manual for the problems is available online). It is well suited for the basis of a course or self-study and can only be warmly recommended to both teachers and students." G. Teschl in: Monatshefte für Mathematik, 2019, Vol. 190, 790

Topics

Frontmatter Publicly Available Download PDF	i
Vorwort Requires Authentication Unlicensed Licensed Download PDF	v
Mathematische Grundlagen Requires Authentication Unlicensed Licensed Download PDF	vi
Abhängigkeit der einzelnen Kapitel Requires Authentication Unlicensed Licensed Download PDF	vii
Bezeichnungen Requires Authentication Unlicensed Licensed Download PDF	viii
Inhalt Publicly Available Download PDF	ix
1. Einleitung Requires Authentication Unlicensed Licensed Download PDF	1
2. Grundmodelle der Wahrscheinlichkeitstheorie Requires Authentication Unlicensed Licensed Download PDF	7
3. Elementare Kombinatorik Requires Authentication Unlicensed Licensed Download PDF	23
4. Bedingte Wahrscheinlichkeiten Requires Authentication Unlicensed Licensed Download PDF	31
5. Unabhängigkeit Requires Authentication Unlicensed Licensed Download PDF	41
6. Konstruktion von (unabhängigen) Zufallsvariablen Requires Authentication Unlicensed Licensed Download PDF	55
7. Charakteristische Funktionen Requires Authentication Unlicensed Licensed Download PDF	63
8. Drei klassische Grenzwertsätze Requires Authentication Unlicensed Licensed Download PDF	75
9. Konvergenz von Zufallsvariablen Requires Authentication Unlicensed Licensed Download PDF	89
10. Unabhängigkeit und Konvergenz Requires Authentication Unlicensed Licensed Download PDF	105
11. Summen von unabhängigen Zufallsvariablen Requires Authentication Unlicensed Licensed Download PDF	117
12. Das starke Gesetz der großen Zahlen Requires Authentication Unlicensed Licensed Download PDF	123
13. Der Zentrale Grenzwertsatz Requires Authentication Unlicensed Licensed Download PDF	135
14. Bedingte Erwartungen Requires Authentication Unlicensed Licensed Download PDF	145
15. Charakteristische Funktionen – Anwendungen Requires Authentication Unlicensed Licensed Download PDF	163
16. Die multivariate Normalverteilung Requires Authentication Unlicensed Licensed Download PDF	175
17. Unbegrenzt teilbare Verteilungen Requires Authentication Unlicensed Licensed Download PDF	187
18. Cramérs Theorie der großen Abweichungen Requires Authentication Unlicensed Licensed Download PDF	201
A. Anhang Requires Authentication Unlicensed Licensed Download PDF	213
Literatur Requires Authentication Unlicensed Licensed Download PDF	226
Stichwortverzeichnis Requires Authentication Unlicensed Licensed Download PDF	229

(Deutsch)

Language: German
Publisher: De Gruyter
Audience: Students of mathematics, natural science, economics, and engineering, instructors, libraries
Pages
- Front matter: 10
- Main content: 232
Illustrations
- Illustrations: 21
- Tables: 5
Keywords: Lehrbuch; Wahrscheinlichkeitsheorie

eBook

Published: April 10, 2017
ISBN: 9783110350661

Paperback

Published: April 10, 2017
ISBN: 9783110350654