Stochastics by Hans-Otto Georgii

Stochastics by Hans-Otto Georgii

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Stochastics by Hans-Otto Georgii

This textbook, now in its second revised and extended edition, presents the fundamental ideas and results of both probability theory and statistics. It comprises the material of a one-year course, which is addressed to students of mathematics and to scientists with an interest in the mathematical side of stochastics. The stochastic concepts, models and methods are motivated by examples and then 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, now in part with solutions, offer applications and supplements to the 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 MunichThe 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
Hans-Otto Georgii, Ludwig-Maximilians-Universität Munich, Germany.
SKU Unavailable
ISBN 13 9783110292541
ISBN 10 3110292548
Title Stochastics
Author Hans-Otto Georgii
Series De Gruyter Textbook
Condition Unavailable
Binding Type Paperback
Publisher De Gruyter
Year published 2012-11-15
Number of pages 416
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.