Probability Theory and Statistics with Real World Applications : Univariate and Multivariate Models Applications.

Format:

Book

Author/Creator:

Zörnig, Peter.

Series:

De Gruyter Textbook Series

Language:

English

Subjects (All):

Probabilities.

Mathematical statistics.

Physical Description:

1 online resource (372 pages)

Edition:

2nd ed.

Place of Publication:

Berlin/Boston : Walter de Gruyter GmbH, 2024.

Summary:

This book, authored by Professor Dr. Peter Zörnig, serves as a comprehensive guide to probability theory and statistics, aimed primarily at undergraduate students in applied mathematics, statistics, computer science, engineering, and natural sciences. It offers a didactical approach with profound explanations and numerous practical examples, making it suitable for self-study. The text covers a wide range of topics, from basic probability concepts to advanced statistical methods, with an emphasis on real-world applications and intuitive understanding. Notably, the book includes over 300 exercises with solutions to reinforce learning. It also reflects on the evolution of teaching mathematics, advocating for the use of internet resources and software in education while maintaining the importance of rigorous study. The second edition introduces new chapters on advanced probabilistic models and exploratory data analysis, enhancing its utility for practitioners. Generated by AI.

Contents:

Intro

Acknowledgment

Preface to the first edition

Preface to the second edition

Contents

1 Mathematics revision

2 Introduction to probability

3 Finite sample spaces

4 Conditional probability and independence

5 One-dimensional random variables

6 Functions of random variables

7 Bidimensional random variables

8 Characteristics of random variables

9 Discrete probability models

10 Continuous probability models

11 Generating functions in probability

12 Construction of new distributions

13 Sums of many random variables

14 Samples and sampling distributions

15 Estimation of parameters

16 Hypothesis tests

17 Exploratory data analysis

Appendix

References

Index.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9783111332277

OCLC:

1451806589